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Tensor loop reduction via the Baikov representation and an auxiliary vector

Liang Zhang
(
- Zhejiang U., Inst. Mod. Phys.
)

(Sep 2, 2023)

Published in:
- Phys.Rev.D 110 (2024) 1, 016013
•
e-Print:
- 2309.00930 [hep-ph]

pdfDOI

reference search2 citations

An explicit expression of generating function for one-loop tensor reduction

Chang Hu
(
- Beijing, GUCAS
)
,
Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys. and
- Zhejiang U.
)
,
Jiyuan Shen
(
)
,
Yongqun Xu
(
- Hefei, CUST and
- South China U. Tech.
)

(Aug 25, 2023)

Published in:
- JHEP 02 (2024) 158,
- JHEP 07 (2024) 068 (erratum)
•
e-Print:
- 2308.13336 [hep-ph]

reference search6 citations

Exploring the linear space of Feynman integrals via generating functions

Xin Guan
(
- Peking U. and
- Peking U., CHEP
)
,
Xiang Li
(
- Peking U. and
- Peking U., CHEP
)
,
Yan-Qing Ma
(
- Peking U. and
- Peking U., CHEP
)

(Jun 5, 2023)

Published in:
- Phys.Rev.D 108 (2023) 3, 034027
•
e-Print:
- 2306.02927 [hep-ph]

pdfDOI

reference search6 citations

Nontrivial one-loop recursive reduction relation

Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys.
)

(Sep 23, 2022)

Published in:
- JHEP 07 (2023) 051
•
e-Print:
- 2209.11428 [hep-ph]

DOI

reference search7 citations

Generation function for one-loop tensor reduction

Bo Feng
(
- Beijing, CSRC and
- PCFT, Hefei
)

(Sep 20, 2022)

Published in:
- Commun.Theor.Phys. 75 (2023) 2, 025203
•
e-Print:
- 2209.09517 [hep-ph]

pdfDOI

reference search16 citations

Iteratively Reduce Auxiliary Scalar Product in Multi-loop Integrals

Jiaqi Chen
(
- Beijing, CSRC
)

(Aug 31, 2022)

e-Print:
- 2208.14693 [hep-ph]

pdf

reference search5 citations

Module intersection and uniform formula for iterative reduction of one-loop integrals

Jiaqi Chen
(
- Beijing, CSRC
)
,
Bo Feng
(
- Beijing, CSRC and
- Zhejiang U., Inst. Mod. Phys. and
- Zhejiang U. and
- PCFT, Hefei
)

(Jul 8, 2022)

Published in:
- JHEP 02 (2023) 178
•
e-Print:
- 2207.03767 [hep-ph]

DOI

reference search11 citations

Reduction with degenerate Gram matrix for one-loop integrals

Bo Feng
(
- Zhejiang U., Inst. Mod. Phys. and
- Beijing, CSRC and
- Zhejiang U. and
- PCFT, Hefei
)
,
Chang Hu
(
- HIAS, UCAS, Hangzhou and
- Beijing, GUCAS
)
,
Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys.
)
,
Yuekai Song
(
- Zhejiang U., Inst. Mod. Phys.
)

(May 5, 2022)

Published in:
- JHEP 08 (2022) 110
•
e-Print:
- 2205.03000 [hep-ph]

DOI

reference search13 citations

PV-reduction of sunset topology with auxiliary vector

Bo Feng
(
- Beijing, CSRC and
- Zhejiang U., Inst. Mod. Phys. and
- Zhejiang U. and
- PCFT, Hefei
)
,
Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys.
)

(Mar 31, 2022)

Published in:
- Commun.Theor.Phys. 74 (2022) 9, 095201
•
e-Print:
- 2203.16881 [hep-ph]

pdfDOI

reference search14 citations

Reduction of general one-loop integrals using auxiliary vector

#10

Bo Feng
(
- Zhejiang U., Inst. Mod. Phys. and
- Beijing, CSRC and
- Zhejiang U. and
- PCFT, Hefei
)
,
Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys.
)
,
Hongbin Wang
(
- Zhejiang U., Inst. Mod. Phys.
)
,
Yaobo Zhang
(
- Zhejiang U., Inst. Mod. Phys.
)

(Mar 27, 2022)

Published in:
- JHEP 05 (2022) 065
•
e-Print:
- 2203.14449 [hep-th]

DOI

reference search16 citations

Determining Feynman Integrals with Only Input from Linear Algebra

#11

Zhi-Feng Liu
(
- Peking U. and
- Peking U., SKLNPT
)
,
Yan-Qing Ma
(
- Peking U. and
- Peking U., SKLNPT and
- Peking U., CHEP and
- CICQM, Beijing
)

(Jan 27, 2022)

Published in:
- Phys.Rev.Lett. 129 (2022) 22, 222001
•
e-Print:
- 2201.11637 [hep-ph]

pdfDOI

reference search67 citations

Feynman Integrals. A Comprehensive Treatment for Students and Researchers

#12

Stefan Weinzierl
(
- Mainz U.
)

(Jan 10, 2022)

Published in:
- UNITEXT for Physics
•
e-Print:
- 2201.03593 [hep-th]

pdfDOI

reference search168 citations

Duals of Feynman Integrals. Part II. Generalized unitarity

#13

Simon Caron-Huot
(
- McGill U.
)
,
Andrzej Pokraka
(
- McGill U.
)

(Nov 30, 2021)

Published in:
- JHEP 04 (2022) 078
•
e-Print:
- 2112.00055 [hep-th]

DOI

reference search62 citations

One-loop Feynman integral reduction by differential operators

#14

Chang Hu
(
- Zhejiang U., Inst. Mod. Phys. and
- HIAS, UCAS, Hangzhou
)
,
Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys.
)
,
Xiaodi Li
(
- PCFT, Hefei and
- USTC, Hefei
)

(Aug 2, 2021)

Published in:
- Phys.Rev.D 104 (2021) 11, 116014
•
e-Print:
- 2108.00772 [hep-ph]

pdfDOI

reference search17 citations

Analytic tadpole coefficients of one-loop integrals

#15

Bo Feng
(
- Zhejiang U., Inst. Mod. Phys. and
- Beijing, CSRC and
- Hangzhou, Zhejiang U. and
- PCFT, Hefei
)
,
Tingfei Li
(
- Zhejiang U., Inst. Mod. Phys.
)
,
Xiaodi Li
(
- PCFT, Hefei
)

(Jul 8, 2021)

Published in:
- JHEP 09 (2021) 081
•
e-Print:
- 2107.03744 [hep-th]

DOI

reference search20 citations

Duals of Feynman integrals. Part I. Differential equations

#16

Simon Caron-Huot
(
- McGill U.
)
,
Andrzej Pokraka
(
- McGill U.
)

(Apr 14, 2021)

Published in:
- JHEP 12 (2021) 045
•
e-Print:
- 2104.06898 [hep-th]

DOI

reference search73 citations

Decomposition of Feynman Integrals by Multivariate Intersection Numbers

#17

Hjalte Frellesvig
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Federico Gasparotto
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Stefano Laporta
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Manoj K. Mandal
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Pierpaolo Mastrolia
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)

et al.

(Aug 11, 2020)

Published in:
- JHEP 03 (2021) 027
•
e-Print:
- 2008.04823 [hep-th]

linksDOI

reference search112 citations

From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals

#18

(Oct 25, 2019)

Published in:
- JHEP 02 (2020) 159
•
e-Print:
- 1910.11852 [hep-th]

DOI

reference search78 citations

Vector Space of Feynman Integrals and Multivariate Intersection Numbers

#19

Hjalte Frellesvig
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Federico Gasparotto
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Manoj K. Mandal
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Pierpaolo Mastrolia
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Luca Mattiazzi
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)

et al.

(Jul 3, 2019)

Published in:
- Phys.Rev.Lett. 123 (2019) 20, 201602
•
e-Print:
- 1907.02000 [hep-th]

linksDOI

reference search164 citations

FIRE6: Feynman Integral REduction with modular arithmetic

#20

A.V. Smirnov
(
- Moscow State U. and
- KIT, Karlsruhe, TTP
)
,
F.S. Chukharev
(
- Moscow State U.
)

(Jan 23, 2019)

Published in:
- Comput.Phys.Commun. 247 (2020) 106877
•
e-Print:
- 1901.07808 [hep-ph]

pdfDOI

reference search420 citations

Feynman Integrals and Intersection Theory

#21

(Oct 9, 2018)

Published in:
- JHEP 02 (2019) 139
•
e-Print:
- 1810.03818 [hep-th]

linksDOI

reference search215 citations

Direct Solution of Integration-by-Parts Systems

#22

David A. Kosower
(
- IPhT, Saclay
)

(Mar 31, 2018)

Published in:
- Phys.Rev.D 98 (2018) 2, 025008
•
e-Print:
- 1804.00131 [hep-ph]

DOI

reference search58 citations

Scattering Amplitudes from Intersection Theory

#23

Sebastian Mizera
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

(Nov 1, 2017)

Published in:
- Phys.Rev.Lett. 120 (2018) 14, 141602
•
e-Print:
- 1711.00469 [hep-th]

DOI

reference search150 citations

Kira—A Feynman integral reduction program

#24

Philipp Maierhöfer
(
- Freiburg U.
)
,
Johann Usovitsch
(
- Humboldt U., Berlin
)
,
Peter Uwer
(
- Humboldt U., Berlin
)

(May 16, 2017)

Published in:
- Comput.Phys.Commun. 230 (2018) 99-112
•
e-Print:
- 1705.05610 [hep-ph]

pdfDOI

reference search423 citations

Cuts from residues: the one-loop case

#25

Samuel Abreu
(
- Freiburg U.
)
,
Ruth Britto
(
- Trinity Coll., Dublin and
- IPhT, Saclay
)
,
Claude Duhr
(
- CERN and
- Louvain U., CP3
)
,
Einan Gardi
(
- U. Edinburgh, Higgs Ctr. Theor. Phys. and
- Edinburgh U.
)

(Feb 10, 2017)

Published in:
- JHEP 06 (2017) 114
•
e-Print:
- 1702.03163 [hep-th]

DOI

reference search99 citations

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