Coaction and double-copy properties of configuration-space integrals at genus zero - INSPIRE

DataBETA

Coaction and double-copy properties of configuration-space integrals at genus zero

Ruth Britto
(
- Hamilton Math. Inst., Dublin and
- IPhT, Saclay
)
,
Sebastian Mizera
(
- Princeton, Inst. Advanced Study
)
,
Carlos Rodriguez
(
- Uppsala U.
)
,
Oliver Schlotterer
(
- Uppsala U.
)

Feb 11, 2021

100 pages

Published in:

JHEP 05 (2021) 053

Published: May 7, 2021

e-Print:

2102.06206 [hep-th]

DOI:

10.1007/JHEP05(2021)053

Report number:

TCDMATH 21-06,
IPhT-t21/030,
UUITP-08/21

View in:

reference search25 citations

Citations per year

Abstract: (Springer)

We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewellen-Tye (KLT) relations in string theory. For this purpose, explicit bases of twisted cycles and cocycles are worked out whose orthonormality simplifies the coaction. We present methods to efficiently perform and organize the expansions of configuration-space integrals in the inverse string tension α′ or the dimensional-regularization parameter ϵ of Feynman integrals. Generating-function techniques open up a new perspective on the coaction of multiple polylogarithms in any number of variables and analytic continuations in the unintegrated punctures. We present a compact recursion for a generalized KLT kernel and discuss its origin from intersection numbers of Stasheff polytopes and its implications for correlation functions of two-dimensional conformal field theories. We find a non-trivial example of correlation functions in (

\mathfrak{p}

, 2) minimal models, which can be normalized to become uniformly transcendental in the

\mathfrak{p}

→ ∞ limit.

Note:

100 pages, 7 figures, journal version

Scattering Amplitudes
Bosonic Strings
Superstrings and Heterotic Strings
Conformal Field Theory
field theory: conformal
model: minimal
dimension: 2
correlation function
string tension
string model

References(145)

Figures(4)

Multiple polylogarithms and mixed Tate motives

A.B. Goncharov

e-Print:
- math/0103059

Galois symmetries of fundamental groupoids and noncommutative geometry

A.B. Goncharov

- Duke Math.J. 128 (2005) 209
•
e-Print:
- math/0208144
•
DOI:
- 10.1215/S0012-7094-04-12822-2

[3]

Graphical functions and single-valued multiple polylogarithms

Oliver Schnetz
(
- Unlisted
)

- Commun.Num.Theor.Phys. 08 (2014) 589-675
•
e-Print:
- 1302.6445
•
DOI:
- 10.4310/CNTP.2014.v8.n4.a1

[4]

Feynman amplitudes, coaction principle, and cosmic Galois group

Francis Brown

- Commun.Num.Theor.Phys. 11 (2017) 453-556
•
e-Print:
- 1512.06409
•
DOI:
- 10.4310/CNTP.2017.v11.n3.a1

[5]

The Galois coaction on $\phi^4$ periods

Erik Panzer
(
- Oxford U.
)
,
Oliver Schnetz
(
- U. Erlangen-Nuremberg (main)
)

- Commun.Num.Theor.Phys. 11 (2017) 657-705
•
e-Print:
- 1603.04289
•
DOI:
- 10.4310/CNTP.2017.v11.n3.a3

[6]

The Galois coaction on the electron anomalous magnetic moment

Oliver Schnetz
(
- Erlangen - Nuremberg U.
)

- Commun.Num.Theor.Phys. 12 (2018) 335-354
•
e-Print:
- 1711.05118
•
DOI:
- 10.4310/CNTP.2018.v12.n2.a4

[7]

Motivic Multiple Zeta Values and Superstring Amplitudes

- J.Phys.A 46 (2013) 475401
•
e-Print:
- 1205.1516
•
DOI:
- 10.1088/1751-8113/46/47/475401

[8]

The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes

Simon Caron-Huot
(
- McGill U.
)
,
Lance J. Dixon
(
- SLAC and
- Santa Barbara, KITP and
- Humboldt U., Berlin and
- Zurich, ETH
)
,
Falko Dulat
(
- SLAC
)
,
Matt Von Hippel
(
- Perimeter Inst. Theor. Phys. and
- Bohr Inst.
)
,
Andrew J. McLeod
(
- SLAC and
- Santa Barbara, KITP and
- Bohr Inst.
)

et al.

- JHEP 09 (2019) 061
•
e-Print:
- 1906.07116
•
DOI:
- 10.1007/JHEP09(2019)061

[9]

From multiple unitarity cuts to the coproduct of Feynman integrals

Samuel Abreu
(
- U. Edinburgh, Higgs Ctr. Theor. Phys. and
- IPhT, Saclay
)
,
Ruth Britto
(
- IPhT, Saclay
)
,
Claude Duhr
(
- Durham U., IPPP
)
,
Einan Gardi
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

- JHEP 10 (2014) 125
•
e-Print:
- 1401.3546
•
DOI:
- 10.1007/JHEP10(2014)125

[10]

Cuts and coproducts of massive triangle diagrams

Samuel Abreu
(
- U. Edinburgh, Higgs Ctr. Theor. Phys. and
- IPhT, Saclay
)
,
Ruth Britto
(
)
,
Hanna Grönqvist
(
- DSM, DAPNIA, Saclay
)

- JHEP 07 (2015) 111
•
e-Print:
- 1504.00206
•
DOI:
- 10.1007/JHEP07(2015)111

[11]

Algebraic Structure of Cut Feynman Integrals and the Diagrammatic Coaction

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

- Phys.Rev.Lett. 119 (2017) 5, 051601
•
e-Print:
- 1703.05064
•
DOI:
- 10.1103/PhysRevLett.119.051601

[12]

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case

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

- JHEP 12 (2017) 090
•
e-Print:
- 1704.07931
•
DOI:
- 10.1007/JHEP12(2017)090

Diagrammatic Coaction of Two-Loop Feynman Integrals

Samuel Abreu
(
- Louvain U., CP3
)
,
Ruth Britto
(
)
,
Claude Duhr
(
- CERN
)
,
Einan Gardi
(
- U. Edinburgh, Higgs Ctr. Theor. Phys. and
- Edinburgh U., Inst. Astron.
)
,
James Matthew
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

- PoS RADCOR2019 (2020) 065
•
e-Print:
- 1912.06561
•
DOI:
- 10.22323/1.375.0065

Motivic Galois coaction and one-loop Feynman graphs

Matija Tapušković
(
- Oxford U., Inst. Math.
)

- Commun.Num.Theor.Phys. 15 (2021) 2, 221-278
•
e-Print:
- 1911.01540
•
DOI:
- 10.4310/CNTP.2021.v15.n2.a1

Lauricella Hypergeometric Functions, Unipotent Fundamental Groups of the Punctured Riemann Sphere, and Their Motivic Coactions

Francis Brown
(
- Oxford U.
)
,
Clément Dupont
(
- U. Montpellier, IMAG
)

- Nagoya Math.J. 249 (2023) 148-220,
- Nagoya Math.J. 249 (2023) 148-220
•
e-Print:
- 1907.06603
•
DOI:
- 10.1017/nmj.2022.27

Generalized hypergeometric functions and intersection theory for Feynman integrals

Samuel Abreu
(
- Louvain U., CP3
)
,
Ruth Britto
(
)
,
Claude Duhr
(
- CERN
)
,
Einan Gardi
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)
,
James Matthew
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

- PoS (2019) RACOR2019, 067
•
e-Print:
- 1912.03205
•
DOI:
- 10.22323/1.375.0067

DOI:
- 10.1007/978-4-431-53938-4_3

[18]

Combinatorics and Topology of Kawai-Lewellen-Tye Relations

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

- JHEP 08 (2017) 097
•
e-Print:
- 1706.08527
•
DOI:
- 10.1007/JHEP08(2017)097

Aspects of Scattering Amplitudes and Moduli Space Localization

Sebastian Mizera
(
- Princeton, Inst. Advanced Study
)

e-Print:
- 1906.02099
•
DOI:
- 10.1007/978-3-030-53010-5

Six gluon open superstring disk amplitude, multiple hypergeometric series and Euler-Zagier sums

D. Oprisa
(
- Munich, Max Planck Inst.
)
,
S. Stieberger
(
- Munich U.
)

e-Print:
- hep-th/0509042

[21]

Differential Equations, Associators, and Recurrences for Amplitudes

- Nucl.Phys.B 902 (2016) 186-245
•
e-Print:
- 1507.01582
•
DOI:
- 10.1016/j.nuclphysb.2015.11.005

[22]

Multiloop integrals in dimensional regularization made simple

Johannes M. Henn
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.Lett. 110 (2013) 251601
•
e-Print:
- 1304.1806
•
DOI:
- 10.1103/PhysRevLett.110.251601

[23]

All order $\alpha^{\prime}$ -expansion of superstring trees from the Drinfeld associator

Johannes Broedel
(
- Zurich, ETH
)
,
Oliver Schlotterer
(
- Potsdam, Max Planck Inst. and
- Cambridge U., DAMTP
)
,
Stephan Stieberger
(
- Munich, Max Planck Inst.
)
,
Tomohide Terasoma
(
- Tokyo U., Math. Sci.
)

- Phys.Rev.D 89 (2014) 6, 066014
•
e-Print:
- 1304.7304
•
DOI:
- 10.1103/PhysRevD.89.066014

[24]

The $\varepsilon$ -form of the differential equations for Feynman integrals in the elliptic case

Luise Adams
(
- U. Mainz, PRISMA
)
,
Stefan Weinzierl
(
- U. Mainz, PRISMA
)

- Phys.Lett.B 781 (2018) 270-278
•
e-Print:
- 1802.05020
•
DOI:
- 10.1016/j.physletb.2018.04.002

[25]

All Order $\alpha$ ′ Expansion of One-Loop Open-String Integrals

Carlos R. Mafra
(
- Southampton U.
)
,
Oliver Schlotterer
(
- Uppsala U.
)

- Phys.Rev.Lett. 124 (2020) 10, 101603
•
e-Print:
- 1908.09848
•
DOI:
- 10.1103/PhysRevLett.124.101603

1-25 of 145
1
2
3
4
5
6
25 / page