Extracting quadratic propagators by refined graphic rule

A bstract One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The journal of high energy physics Jg. 2025; H. 2; S. 68 - 72
Hauptverfasser: Xie, Chongsi, Du, Yi-Jian
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 12.02.2025
Springer Nature B.V
SpringerOpen
Schlagworte:
Amplitudes
Classical and Quantum Gravitation
Correspondence
Elementary Particles
Feynman diagrams
Gauge Symmetry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Gauge Symmetry
Scattering Amplitudes
ISSN:1029-8479, 1029-8479
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract A bstract One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagators in one-loop CHY formula into quadratic propagators, by refined graphic rule stemming from the recursive expansion of tree-level Einstein-Yang-Mills amplitudes. Particularly, we establish the correspondence between refined graphs and bi-adjoint scalar (BS) Feynman diagrams with linear propagators. Using this correspondence and graph-based relations of Berends-Giele currents in BS theory, the nonlocal terms accompanied by refined graphs can either be canceled out or be collected into local ones. Once the locality has been achieved, the integrand with linear propagators can be directly arranged into that with quadratic propagators. Following this approach, we first convert the linear propagators in single-trace Yang-Mills-scalar (YMS) integrands (with a pure-scalar loop) into quadratic ones. This result is then demonstrated to match the traditional one-loop Feynman diagrams. The discussions on single-trace YMS integrands are generalized to multi-trace YMS and Yang-Mills integrands.
AbstractList Abstract One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagators in one-loop CHY formula into quadratic propagators, by refined graphic rule stemming from the recursive expansion of tree-level Einstein-Yang-Mills amplitudes. Particularly, we establish the correspondence between refined graphs and bi-adjoint scalar (BS) Feynman diagrams with linear propagators. Using this correspondence and graph-based relations of Berends-Giele currents in BS theory, the nonlocal terms accompanied by refined graphs can either be canceled out or be collected into local ones. Once the locality has been achieved, the integrand with linear propagators can be directly arranged into that with quadratic propagators. Following this approach, we first convert the linear propagators in single-trace Yang-Mills-scalar (YMS) integrands (with a pure-scalar loop) into quadratic ones. This result is then demonstrated to match the traditional one-loop Feynman diagrams. The discussions on single-trace YMS integrands are generalized to multi-trace YMS and Yang-Mills integrands.
One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagators in one-loop CHY formula into quadratic propagators, by refined graphic rule stemming from the recursive expansion of tree-level Einstein-Yang-Mills amplitudes. Particularly, we establish the correspondence between refined graphs and bi-adjoint scalar (BS) Feynman diagrams with linear propagators. Using this correspondence and graph-based relations of Berends-Giele currents in BS theory, the nonlocal terms accompanied by refined graphs can either be canceled out or be collected into local ones. Once the locality has been achieved, the integrand with linear propagators can be directly arranged into that with quadratic propagators. Following this approach, we first convert the linear propagators in single-trace Yang-Mills-scalar (YMS) integrands (with a pure-scalar loop) into quadratic ones. This result is then demonstrated to match the traditional one-loop Feynman diagrams. The discussions on single-trace YMS integrands are generalized to multi-trace YMS and Yang-Mills integrands.
A bstract One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagators in one-loop CHY formula into quadratic propagators, by refined graphic rule stemming from the recursive expansion of tree-level Einstein-Yang-Mills amplitudes. Particularly, we establish the correspondence between refined graphs and bi-adjoint scalar (BS) Feynman diagrams with linear propagators. Using this correspondence and graph-based relations of Berends-Giele currents in BS theory, the nonlocal terms accompanied by refined graphs can either be canceled out or be collected into local ones. Once the locality has been achieved, the integrand with linear propagators can be directly arranged into that with quadratic propagators. Following this approach, we first convert the linear propagators in single-trace Yang-Mills-scalar (YMS) integrands (with a pure-scalar loop) into quadratic ones. This result is then demonstrated to match the traditional one-loop Feynman diagrams. The discussions on single-trace YMS integrands are generalized to multi-trace YMS and Yang-Mills integrands.
ArticleNumber 68
Author Xie, Chongsi
Du, Yi-Jian
Author_xml – sequence: 1
  givenname: Chongsi
  orcidid: 0009-0000-9026-308X
  surname: Xie
  fullname: Xie, Chongsi
  organization: Department of Physics, School of Physics and Technology, Wuhan University
– sequence: 2
  givenname: Yi-Jian
  orcidid: 0000-0003-3578-8822
  surname: Du
  fullname: Du, Yi-Jian
  email: yijian.du@whu.edu.cn
  organization: Department of Physics, School of Physics and Technology, Wuhan University, Hubei Key Laboratory of Nuclear Solid Physics, School of Physics and Technology, Wuhan University
BookMark eNp9kM9LwzAUx4NMcJuevRa86KHuJW1-9ChjuslAD3oOaZrUjtpsaQvuvzezoiLoJQkv7_t93_eZoFHjGoPQOYZrDMBn98vFI5BLAoReARNHaIyBZLFIeTb68T5Bk7bdAGCKMxgjsXjrvNJd1ZTRrleFV12lo613W1Wqzvk2yveRN7ZqTBGVXm1fwrfva3OKjq2qW3P2eU_R8-3iab6M1w93q_nNOtYp5l1MElHgnFgtTJImqbIZNcQmOpwMbMELzUQGGDMicG5MLqxILTM5zVNMc8qSKVoNvoVTG7n11avye-lUJT8KzpdS-ZC5NjL4J8ooDULjlDOVMY6tzTgpaM65TYLXxeAV9tv1pu3kxvW-CfFlghnNBADBoWs2dGnv2jbs_jUVgzyglgNqeUAtA-qgoL8UuuoCSNcEtlX9jw4GXRsmNKXx33n-krwDIZmSVA
CitedBy_id crossref_primary_10_1103_PhysRevD_111_105025
crossref_primary_10_1007_JHEP05_2025_101
crossref_primary_10_1103_PhysRevD_111_065015
Cites_doi 10.1103/PhysRevD.107.026022
10.1007/JHEP12(2017)038
10.1103/PhysRevLett.118.161601
10.1007/JHEP08(2016)008
10.1007/JHEP03(2017)092
10.1103/PhysRevLett.84.3531
10.1103/PhysRevD.92.105004
10.1007/JHEP10(2020)074
10.1007/JHEP05(2017)075
10.1007/JHEP01(2014)152
10.1007/JHEP12(2022)080
10.1103/PhysRevLett.113.171601
10.1016/j.nuclphysb.2016.09.014
10.1007/JHEP07(2016)080
10.1007/JHEP09(2020)079
10.1103/PhysRevLett.105.061602
10.1007/JHEP03(2018)068
10.1103/PhysRevD.78.085011
10.1007/JHEP05(2020)008
10.1007/JHEP07(2017)002
10.1103/PhysRevD.102.045023
10.1103/PhysRevD.92.045041
10.1007/JHEP11(2016)074
10.1007/JHEP01(2015)121
10.1103/PhysRevD.105.105007
10.1103/PhysRevD.109.L101905
10.1007/JHEP06(2016)094
10.1007/JHEP07(2017)138
10.1007/JHEP07(2014)048
10.1007/JHEP10(2016)116
10.1016/0550-3213(89)90574-9
10.1007/JHEP03(2016)090
10.1007/JHEP05(2018)055
10.1016/S0550-3213(99)00809-3
10.1103/PhysRevLett.56.2459
10.1007/JHEP08(2011)129
10.1007/JHEP11(2015)046
10.1007/JHEP01(2022)162
10.1007/JHEP10(2019)022
10.1007/JHEP07(2015)149
10.1103/PhysRevD.95.106006
10.1007/s00220-023-04748-z
10.1007/JHEP02(2023)122
10.1007/JHEP10(2016)070
10.1007/JHEP09(2017)021
10.1016/0550-3213(88)90442-7
10.1007/JHEP08(2022)240
10.1007/JHEP03(2016)114
10.1103/PhysRevD.90.065001
10.1007/JHEP04(2017)033
10.1007/JHEP05(2019)012
10.1007/JHEP11(2015)080
10.1007/JHEP02(2023)164
10.1007/JHEP07(2014)033
ContentType Journal Article
Copyright The Author(s) 2025
The Author(s) 2025. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: The Author(s) 2025
– notice: The Author(s) 2025. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID C6C
AAYXX
CITATION
8FE
8FG
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
P5Z
P62
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
DOA
DOI 10.1007/JHEP02(2025)068
DatabaseName Springer Nature OA Free Journals
CrossRef
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One
ProQuest Central Korea
SciTech Premium Collection
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Publicly Available Content Database
Advanced Technologies & Aerospace Collection
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
Advanced Technologies & Aerospace Database
ProQuest One Applied & Life Sciences
ProQuest One Academic UKI Edition
ProQuest Central Korea
ProQuest Central (New)
ProQuest One Academic
ProQuest One Academic (New)
DatabaseTitleList
Publicly Available Content Database

CrossRef
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: PIMPY
  name: Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1029-8479
EndPage 72
ExternalDocumentID oai_doaj_org_article_4343aeac08c1476a9671ff972d5b77f3
10_1007_JHEP02_2025_068
GroupedDBID 0R~
0VY
199
1N0
30V
4.4
408
40D
5GY
5VS
8FE
8FG
8TC
8UJ
95.
AAFWJ
AAKKN
ABEEZ
ACACY
ACGFS
ACHIP
ACREN
ACULB
ADBBV
AEGXH
AENEX
AFGXO
AFKRA
AFPKN
AFWTZ
AHBYD
AHYZX
AIBLX
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMTXH
AMVHM
ARAPS
ASPBG
ATQHT
AVWKF
AZFZN
BCNDV
BENPR
BGLVJ
C24
C6C
CCPQU
CS3
CSCUP
DU5
EBS
ER.
FEDTE
GROUPED_DOAJ
HCIFZ
HF~
HLICF
HMJXF
HVGLF
HZ~
IHE
KOV
LAP
N5L
N9A
NB0
O93
OK1
P62
P9T
PHGZM
PHGZT
PIMPY
PQGLB
PROAC
R9I
RO9
S1Z
S27
S3B
SOJ
SPH
T13
TUS
U2A
VC2
VSI
WK8
XPP
Z45
ZMT
AAYXX
AFFHD
CITATION
ABUWG
AZQEC
DWQXO
PKEHL
PQEST
PQQKQ
PQUKI
PRINS
ID FETCH-LOGICAL-c417t-238d1b2fc8e3434af95e2f3c5e260fd7dc6890116281beeb8f84f6eb5b415b563
IEDL.DBID DOA
ISICitedReferencesCount 3
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001419687200011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1029-8479
IngestDate Fri Oct 03 12:50:40 EDT 2025
Sat Oct 18 23:05:08 EDT 2025
Tue Nov 18 20:24:55 EST 2025
Sat Nov 29 07:13:41 EST 2025
Tue Oct 14 01:12:15 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Keywords Gauge Symmetry
Scattering Amplitudes
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c417t-238d1b2fc8e3434af95e2f3c5e260fd7dc6890116281beeb8f84f6eb5b415b563
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-3578-8822
0009-0000-9026-308X
OpenAccessLink https://doaj.org/article/4343aeac08c1476a9671ff972d5b77f3
PQID 3165980021
PQPubID 2034718
PageCount 72
ParticipantIDs doaj_primary_oai_doaj_org_article_4343aeac08c1476a9671ff972d5b77f3
proquest_journals_3165980021
crossref_primary_10_1007_JHEP02_2025_068
crossref_citationtrail_10_1007_JHEP02_2025_068
springer_journals_10_1007_JHEP02_2025_068
PublicationCentury 2000
PublicationDate 2025-02-12
PublicationDateYYYYMMDD 2025-02-12
PublicationDate_xml – month: 02
  year: 2025
  text: 2025-02-12
  day: 12
PublicationDecade 2020
PublicationPlace Berlin/Heidelberg
PublicationPlace_xml – name: Berlin/Heidelberg
– name: Heidelberg
PublicationTitle The journal of high energy physics
PublicationTitleAbbrev J. High Energ. Phys
PublicationYear 2025
Publisher Springer Berlin Heidelberg
Springer Nature B.V
SpringerOpen
Publisher_xml – name: Springer Berlin Heidelberg
– name: Springer Nature B.V
– name: SpringerOpen
References D Nandan (25509_CR10) 2016; 10
C-H Fu (25509_CR12) 2017; 09
K Wu (25509_CR37) 2022; 01
F Teng (25509_CR14) 2017; 05
F Cachazo (25509_CR4) 2015; 01
F Porkert (25509_CR33) 2023; 02
J Dong (25509_CR34) 2024; 109
F Cachazo (25509_CR19) 2016; 08
Y-J Du (25509_CR8) 2020; 05
25509_CR32
M Chiodaroli (25509_CR13) 2017; 07
25509_CR31
25509_CR5
25509_CR36
25509_CR3
25509_CR35
S Lee (25509_CR44) 2016; 03
SJ Parke (25509_CR6) 1986; 56
Y-J Du (25509_CR42) 2011; 08
C Cardona (25509_CR26) 2016; 06
A Edison (25509_CR23) 2020; 09
H Gomez (25509_CR28) 2017; 03
M Chiodaroli (25509_CR47) 2014; 01
25509_CR29
N Ahmadiniaz (25509_CR30) 2018; 05
R Kleiss (25509_CR39) 1989; 312
S Stieberger (25509_CR9) 2016; 913
25509_CR20
E Bridges (25509_CR45) 2019; 10
Y Geyer (25509_CR22) 2018; 03
25509_CR51
C Baadsgaard (25509_CR25) 2015; 11
O Schlotterer (25509_CR11) 2016; 11
25509_CR18
B Feng (25509_CR24) 2022; 08
Y-J Du (25509_CR38) 2022; 12
CR Mafra (25509_CR41) 2016; 07
Z Bern (25509_CR53) 2000; 84
25509_CR54
25509_CR52
M Berg (25509_CR49) 2017; 07
25509_CR1
25509_CR2
A Edison (25509_CR50) 2023; 02
25509_CR40
L Mason (25509_CR17) 2014; 07
C Cardona (25509_CR27) 2016; 10
H Johansson (25509_CR48) 2015; 11
Y-J Du (25509_CR16) 2017; 04
L Hou (25509_CR7) 2019; 05
Y Geyer (25509_CR21) 2016; 03
H Frost (25509_CR43) 2023; 402
25509_CR46
Y-J Du (25509_CR15) 2017; 12
References_xml – ident: 25509_CR52
  doi: 10.1103/PhysRevD.107.026022
– volume: 12
  start-page: 038
  year: 2017
  ident: 25509_CR15
  publication-title: JHEP
  doi: 10.1007/JHEP12(2017)038
– ident: 25509_CR20
  doi: 10.1103/PhysRevLett.118.161601
– volume: 08
  start-page: 008
  year: 2016
  ident: 25509_CR19
  publication-title: JHEP
  doi: 10.1007/JHEP08(2016)008
– volume: 03
  start-page: 092
  year: 2017
  ident: 25509_CR28
  publication-title: JHEP
  doi: 10.1007/JHEP03(2017)092
– volume: 84
  start-page: 3531
  year: 2000
  ident: 25509_CR53
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.84.3531
– ident: 25509_CR18
  doi: 10.1103/PhysRevD.92.105004
– ident: 25509_CR32
  doi: 10.1007/JHEP10(2020)074
– volume: 05
  start-page: 075
  year: 2017
  ident: 25509_CR14
  publication-title: JHEP
  doi: 10.1007/JHEP05(2017)075
– volume: 01
  start-page: 152
  year: 2014
  ident: 25509_CR47
  publication-title: JHEP
  doi: 10.1007/JHEP01(2014)152
– volume: 12
  start-page: 080
  year: 2022
  ident: 25509_CR38
  publication-title: JHEP
  doi: 10.1007/JHEP12(2022)080
– ident: 25509_CR2
  doi: 10.1103/PhysRevLett.113.171601
– volume: 913
  start-page: 151
  year: 2016
  ident: 25509_CR9
  publication-title: Nucl. Phys. B
  doi: 10.1016/j.nuclphysb.2016.09.014
– volume: 07
  start-page: 080
  year: 2016
  ident: 25509_CR41
  publication-title: JHEP
  doi: 10.1007/JHEP07(2016)080
– volume: 09
  start-page: 079
  year: 2020
  ident: 25509_CR23
  publication-title: JHEP
  doi: 10.1007/JHEP09(2020)079
– ident: 25509_CR36
  doi: 10.1103/PhysRevLett.105.061602
– volume: 03
  start-page: 068
  year: 2018
  ident: 25509_CR22
  publication-title: JHEP
  doi: 10.1007/JHEP03(2018)068
– ident: 25509_CR35
  doi: 10.1103/PhysRevD.78.085011
– volume: 05
  start-page: 008
  year: 2020
  ident: 25509_CR8
  publication-title: JHEP
  doi: 10.1007/JHEP05(2020)008
– volume: 07
  start-page: 002
  year: 2017
  ident: 25509_CR13
  publication-title: JHEP
  doi: 10.1007/JHEP07(2017)002
– ident: 25509_CR31
  doi: 10.1103/PhysRevD.102.045023
– ident: 25509_CR46
  doi: 10.1103/PhysRevD.92.045041
– volume: 11
  start-page: 074
  year: 2016
  ident: 25509_CR11
  publication-title: JHEP
  doi: 10.1007/JHEP11(2016)074
– volume: 01
  start-page: 121
  year: 2015
  ident: 25509_CR4
  publication-title: JHEP
  doi: 10.1007/JHEP01(2015)121
– ident: 25509_CR51
  doi: 10.1103/PhysRevD.105.105007
– volume: 109
  start-page: L101905
  year: 2024
  ident: 25509_CR34
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.109.L101905
– volume: 06
  start-page: 094
  year: 2016
  ident: 25509_CR26
  publication-title: JHEP
  doi: 10.1007/JHEP06(2016)094
– volume: 07
  start-page: 138
  year: 2017
  ident: 25509_CR49
  publication-title: JHEP
  doi: 10.1007/JHEP07(2017)138
– volume: 07
  start-page: 048
  year: 2014
  ident: 25509_CR17
  publication-title: JHEP
  doi: 10.1007/JHEP07(2014)048
– volume: 10
  start-page: 116
  year: 2016
  ident: 25509_CR27
  publication-title: JHEP
  doi: 10.1007/JHEP10(2016)116
– volume: 312
  start-page: 616
  year: 1989
  ident: 25509_CR39
  publication-title: Nucl. Phys. B
  doi: 10.1016/0550-3213(89)90574-9
– volume: 03
  start-page: 090
  year: 2016
  ident: 25509_CR44
  publication-title: JHEP
  doi: 10.1007/JHEP03(2016)090
– volume: 05
  start-page: 055
  year: 2018
  ident: 25509_CR30
  publication-title: JHEP
  doi: 10.1007/JHEP05(2018)055
– ident: 25509_CR54
  doi: 10.1016/S0550-3213(99)00809-3
– volume: 56
  start-page: 2459
  year: 1986
  ident: 25509_CR6
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.56.2459
– volume: 08
  start-page: 129
  year: 2011
  ident: 25509_CR42
  publication-title: JHEP
  doi: 10.1007/JHEP08(2011)129
– volume: 11
  start-page: 046
  year: 2015
  ident: 25509_CR48
  publication-title: JHEP
  doi: 10.1007/JHEP11(2015)046
– volume: 01
  start-page: 162
  year: 2022
  ident: 25509_CR37
  publication-title: JHEP
  doi: 10.1007/JHEP01(2022)162
– volume: 10
  start-page: 022
  year: 2019
  ident: 25509_CR45
  publication-title: JHEP
  doi: 10.1007/JHEP10(2019)022
– ident: 25509_CR5
  doi: 10.1007/JHEP07(2015)149
– ident: 25509_CR29
  doi: 10.1103/PhysRevD.95.106006
– volume: 402
  start-page: 1307
  year: 2023
  ident: 25509_CR43
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-023-04748-z
– volume: 02
  start-page: 122
  year: 2023
  ident: 25509_CR33
  publication-title: JHEP
  doi: 10.1007/JHEP02(2023)122
– volume: 10
  start-page: 070
  year: 2016
  ident: 25509_CR10
  publication-title: JHEP
  doi: 10.1007/JHEP10(2016)070
– volume: 09
  start-page: 021
  year: 2017
  ident: 25509_CR12
  publication-title: JHEP
  doi: 10.1007/JHEP09(2017)021
– ident: 25509_CR40
  doi: 10.1016/0550-3213(88)90442-7
– volume: 08
  start-page: 240
  year: 2022
  ident: 25509_CR24
  publication-title: JHEP
  doi: 10.1007/JHEP08(2022)240
– volume: 03
  start-page: 114
  year: 2016
  ident: 25509_CR21
  publication-title: JHEP
  doi: 10.1007/JHEP03(2016)114
– ident: 25509_CR1
  doi: 10.1103/PhysRevD.90.065001
– volume: 04
  start-page: 033
  year: 2017
  ident: 25509_CR16
  publication-title: JHEP
  doi: 10.1007/JHEP04(2017)033
– volume: 05
  start-page: 012
  year: 2019
  ident: 25509_CR7
  publication-title: JHEP
  doi: 10.1007/JHEP05(2019)012
– volume: 11
  start-page: 080
  year: 2015
  ident: 25509_CR25
  publication-title: JHEP
  doi: 10.1007/JHEP11(2015)080
– volume: 02
  start-page: 164
  year: 2023
  ident: 25509_CR50
  publication-title: JHEP
  doi: 10.1007/JHEP02(2023)164
– ident: 25509_CR3
  doi: 10.1007/JHEP07(2014)033
SSID ssj0015190
Score 2.487219
Snippet A bstract One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that...
One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are...
Abstract One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that...
SourceID doaj
proquest
crossref
springer
SourceType Open Website
Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 68
SubjectTerms Amplitudes
Classical and Quantum Gravitation
Correspondence
Elementary Particles
Feynman diagrams
Gauge Symmetry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
SummonAdditionalLinks – databaseName: ProQuest Central
  dbid: BENPR
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB6VpUhcSstDbAsohx7gkOIkju2cqlItQj2sVhVI3KL4hZDQLmx2Efx7ZrzOQpHg0ksO8SSx8o09n1_fAHxvuBWO9oUVXouUay5SZViVuiZvkL9qdAMWkk3I4VBdXlajOOHWxm2VXZ8YOmo7MTRHflxkoqyI3WQ_b-9SyhpFq6sxhcYKrJJSGe_B6slgOPq7XEdAfsI6QR8mj_-cDUYsP8QBf3nESF31RSwKkv3_8MxXS6Mh4pxu_G9dP8OnyDWTXwvn-AIf3HgT1sKeT9NugRo8zMIZqfFVcjdvLPmCSfBT2MfQULxN9GOClUYeapMgbI3F0_mN24aL08H577M0JlJIDc_kLMWwbDOde6NcwQve-Kp0uS8MXgXzVlojFB1BFTmSWOe08op74XSpMbzrUhQ70BtPxm4XErSpdK60RtrFScuwwCGXZL6xnnJtqj786H5pbaLKOCW7uKk7feQFBjVhUCMGfThcPnC7ENh42_SEMFqakTJ2uDGZXtWxodV0UrbBaMKUybgUTSVk5n0lc1tqKX3Rh70Oszo217Z-BqwPRx3qz8Vv1Ofr-6_6ButkmYbsMXvQm03nbh8-mvvZdTs9iJ76BIx07oU
  priority: 102
  providerName: ProQuest
– databaseName: SpringerOpen
  dbid: C24
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NS8MwFH_MqeDFb7E6pQcP26HSjzRJjzo2hoexg8JupUmTIYyp7Sb63_uStZMpO-illOYVHu-95P1C8n4P4CYjOVXmXlikBfWIINTj0k88lYUZ4leBYeDbZhNsOOTjcTJqQFDXwtjb7vWRpF2p62K3h0Fv5Idt3KzHHZ_yLdiOA56YoO6aAofq4AABiV8z-Pz-aS35WI7-NWD54yzUppj-wT-UO4T9Ck-6d8sAOIKGmh3Drr3XKcsT4L2Pua2Dmk3ct0WWG39LF3XBdcRst0tXfLqoJ2LN3LXk1ThcLKbqFJ76vcfuwKuaJXiSBGzuYerNAxFqyVVEIpLpJFahjiQ-qa9zlkvKTZkpDRGoKiW45kRTJWKBKVzENDqD5uxlps7BRZlEhFwIhFbE8BVGuK1ivs5ybfppcgduayumsmISNw0tpmnNgbw0R2rMkaI5HGivfnhdkmhsFr03blmJGfZr--GlmKTVZEpNNWyGGcPnMiCMZgllgdYJC_NYMKYjB1q1U9NqSpZpFNA4MfA4cKBTO_F7eIM-F3-QvYQ98-rZdjEtaM6LhbqCHfk-fy6LaxunX1Mi4Oc
  priority: 102
  providerName: Springer Nature
Title Extracting quadratic propagators by refined graphic rule
URI https://link.springer.com/article/10.1007/JHEP02(2025)068
https://www.proquest.com/docview/3165980021
https://doaj.org/article/4343aeac08c1476a9671ff972d5b77f3
Volume 2025
WOSCitedRecordID wos001419687200011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAON
  databaseName: DOAJ Directory of Open Access Journals
  customDbUrl:
  eissn: 1029-8479
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015190
  issn: 1029-8479
  databaseCode: DOA
  dateStart: 20140101
  isFulltext: true
  titleUrlDefault: https://www.doaj.org/
  providerName: Directory of Open Access Journals
– providerCode: PRVPQU
  databaseName: Advanced Technologies & Aerospace Database
  customDbUrl:
  eissn: 1029-8479
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015190
  issn: 1029-8479
  databaseCode: P5Z
  dateStart: 20100101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1029-8479
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015190
  issn: 1029-8479
  databaseCode: BENPR
  dateStart: 20100101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Publicly Available Content Database
  customDbUrl:
  eissn: 1029-8479
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015190
  issn: 1029-8479
  databaseCode: PIMPY
  dateStart: 20100101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
– providerCode: PRVIAO
  databaseName: SCOAP3 Journals
  customDbUrl:
  eissn: 1029-8479
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015190
  issn: 1029-8479
  databaseCode: ER.
  dateStart: 20140101
  isFulltext: true
  titleUrlDefault: https://scoap3.org/
  providerName: SCOAP3 (Sponsoring Consortium for Open Access Publishing in Particle Physics)
– providerCode: PRVAVX
  databaseName: SpringerOpen
  customDbUrl:
  eissn: 1029-8479
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015190
  issn: 1029-8479
  databaseCode: C24
  dateStart: 20100101
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8QwEB58ghfxiavr0oOH9VBN2zRJj-6ysgouRRTUS2nSRARZdR-i_95J2uoqiBcvOTRpGr5JM9-Q5BuAg5wWTNtzYZGRzKeSMl8okvg6D3PkrxKnAXHJJvhgIG5uknQm1Zc9E1bKA5fAHdubjzmuDkSogHKWJ4wHxiQ8LGLJuXE6n8h66mCq2j9AXkJqIR_Cj8_7vZSEbQz040NiVVVnfJCT6v_GL39siTpPc7oGqxVF9E7Koa3DnB5uwLI7qqnGmyB6bxN3tWl4771M88KaUHnYLy4NNoIee_Ldw28ifSw8p0eN1aPpo96C69PeVbfvV_kPfEUDPvHRmxaBDI0SGkGguUliHZpIYcmIKXihmLA3R1mI3FNrKYyghmkZS_TKMmbRNiwMn4Z6Bzxsk8hQSIlsiVoJwggjJU5MXhibIlM04KhGJFOVOLjNUfGY1bLGJYSZhTBDCBvQ_nzhudTF-L1px0L82cwKWrsHaOasMnP2l5kb0KwNlFV_2TiLAhYnlvEGDTisjfZV_ct4dv9jPHuwYvvzXWqYJixMRlO9D0vqdfIwHrVgsdMbpJctmO-GtOWmJpZpfIc16dlFevsBemvkFg
linkProvider Directory of Open Access Journals
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB6VFASX8hahBXwAqT2Yrtfr3fWhQjxSJbSNcihSOW29rwqpSto4Afqn-I2d3dgpIJVbD1x88D603vk88-1jZgBeV8xyF-6F5V7zlGnGU2lImbqKVshfNcKAxGQTYjiUR0flaAV-tb4w4VplqxOjorYTE_bIt_OMF2VgN9m7s_M0ZI0Kp6ttCo0FLPbcxQ9cstU7g08o3zeU7vYOP_bTJqtAalgmZinaKJtp6o10OctZ5cvCUZ8bfHLirbCGy-CPySkyOue09JJ57nSh0dbpgufY7y1YZQh22YHV0eBg9HV5boF8iLQBhIjY_tzvjQjdpEgstkiI5vqb7YspAv7gtX8dxUYLt3v_f5ubB7DWcOnk_QL8D2HFjR_BnXin1dSPQfZ-zqIP2PgkOZ9XNmDdJPhpqEPDVkOd6IsEJwl5tk1i4G4sns5P3RP4ciPDfgqd8WTsnkGCdUpNpdZIK1mI1ZjjklIQX1kfconKLrxtRahME0U9JPM4VW3854XMVZC5Qpl3YXPZ4GwRQOT6qh8CJpbVQuTv-GIyPVGNIlHBE7hCa0mkyZjgVclF5n0pqC20ED7vwkaLEdWoo1pdAaQLWy3KroqvGc_zf3f1Cu72Dw_21f5guLcO90KrNGbK2YDObDp3L-C2-T77Vk9fNn9JAsc3Db5LJxRMEQ
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3Nb9MwFH8a40Nc-EYrDMgBpO0Q6jiO7RwQAtZqY6jqAaSJixc79jRparemBfav8dfxnpt0gDRuO3DJIbEtx-_rZ_t9ALysRC09-YXlwcpUWCFT7ViZ-opXiF8tsgGLxSbUaKQPDsrxGvzsYmHIrbLTiVFR11NHZ-T9PJNFSegm64fWLWK8M3x7epZSBSm6ae3KaSxZZN-ff8ftW_Nmbwdp_Yrz4eDzh920rTCQOpGpeYr2qs4sD077XOSiCmXhecgdPiULtaqd1BSbKTmiO--tDloE6W1h0e7ZQuY47jW4rnCPSdI1Lr6ubjAQGbEulRBT_Y-7gzHjWxwhxjajvK6_WcFYLOAPhPvXpWy0dcO7__Mq3YM7LcJO3i1F4j6s-ckDuBk9XV3zEPTgxzxGhk2OkrNFVZMEuAR_EzUrHUA0iT1PcMEQfddJTOeNn2eLE_8IvlzJtB_D-mQ68RuQYJvScm0tgk1BGRxz3GgqFqo6UIVR3YPXHTmNa3OrU4mPE9NlhV7S3xD9DdK_B1urDqfLtCKXN31P_LFqRvnA44vp7Mi06sVQfHCFNpRplwklq1KqLIRS8bqwSoW8B5sdv5hWSTXmgll6sN1x3MXnS-bz5N9DvYBbyHHm095o_yncpk5pLJ-zCevz2cI_gxvu2_y4mT2P4pLA4VVz3i8t81N0
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Extracting+quadratic+propagators+by+refined+graphic+rule&rft.jtitle=The+journal+of+high+energy+physics&rft.au=Xie%2C+Chongsi&rft.au=Du%2C+Yi-Jian&rft.date=2025-02-12&rft.issn=1029-8479&rft.eissn=1029-8479&rft.volume=2025&rft.issue=2&rft_id=info:doi/10.1007%2FJHEP02%282025%29068&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_JHEP02_2025_068
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1029-8479&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1029-8479&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1029-8479&client=summon