Two-Loop master integrals for heavy-to-light form factors of two different massive fermions - INSPIRE

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Two-Loop master integrals for heavy-to-light form factors of two different massive fermions

Long-Bin Chen
(
- Jinan U.
)

Jan 2, 2018

19 pages

Published in:

JHEP 02 (2018) 066

Published: Feb 12, 2018

e-Print:

1801.01033 [hep-ph]

DOI:

10.1007/JHEP02(2018)066

View in:

ADS Abstract Service

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Abstract: (arXiv)

We calculate the full set of the two-loop master integrals for heavy-to-light form factors of two different massive fermions for arbitrary momentum transfer in NNLO QCD or QED corrections. These integrals allow to determine the two-loop QCD or QED corrections to the amplitudes for heavy-to-light form factors of two massive fermions in a full analytical way, without any approximations. The analytical results of the master integrals are derived using the method of differential equations, along with a proper choosing of canonical basis for the master integrals. All the results of master integrals are expressed in terms of Goncharov polylogarithms.

Note:

20 pages,1 figures. Typos are corrected, to appear in JHEP

Perturbative QCD
Precision QED
fermion: massive
quantum electrodynamics: correction
electroweak interaction: correction
form factor
master integral
differential equations
momentum transfer
higher-order: 2

References(63)

Figures(2)

Second order QCD corrections to Gamma(t ---> W b)

K.G. Chetyrkin
(
- Karlsruhe U., TTP
)
,
R. Harlander
(
- Karlsruhe U., TTP
)
,
T. Seidensticker
(
- Karlsruhe U., TTP
)
,
M. Steinhauser
(
- Bern U.
)

- Phys.Rev.D 60 (1999) 114015
•
e-Print:
- hep-ph/9906273
•
DOI:
- 10.1103/PhysRevD.60.114015

Heavy to light decays with a two loop accuracy

- Phys.Rev.Lett. 93 (2004) 062001
•
e-Print:
- hep-ph/0403221
•
DOI:
- 10.1103/PhysRevLett.93.062001

Enhancement of the hadronic b quark decays

Andrzej Czarnecki
(
- Alberta U. and
- Cracow, INP
)
,
Maciej Slusarczyk
(
- Alberta U.
)
,
Fyodor V. Tkachov
(
- Moscow, INR
)

- Phys.Rev.Lett. 96 (2006) 171803
•
e-Print:
- hep-ph/0511004
•
DOI:
- 10.1103/PhysRevLett.96.171803

$\mathcal O(\alpha_s^2)$ corrections to fully-differential top quark decays

Mathias Brucherseifer
(
- KIT, Karlsruhe, TTP
)
,
Fabrizio Caola
(
- Johns Hopkins U.
)
,
Kirill Melnikov
(
- Johns Hopkins U.
)

- JHEP 04 (2013) 059
•
e-Print:
- 1301.7133
•
DOI:
- 10.1007/JHEP04(2013)059

Top Quark Decay at Next-to-Next-to Leading Order in QCD

Jun Gao
(
- Southern Methodist U.
)
,
Chong Sheng Li
(
- Peking U. and
- Peking U., CAPT
)
,
Hua Xing Zhu
(
- SLAC
)

- Phys.Rev.Lett. 110 (2013) 4, 042001
•
e-Print:
- 1210.2808
•
DOI:
- 10.1103/PhysRevLett.110.042001

Two-Loop QCD Corrections to the Heavy-to-Light Quark Decay

R. Bonciani
(
- Zurich U.
)
,
A. Ferroglia
(
- Zurich U.
)

- JHEP 11 (2008) 065
•
e-Print:
- 0809.4687
•
DOI:
- 10.1088/1126-6708/2008/11/065

NNLO corrections to anti-B ---> X(u) l anti-nu in the shape-function region

H.M. Asatrian
(
- Yerevan Phys. Inst.
)
,
C. Greub
(
- Bern U.
)
,
B.D. Pecjak
(
- DESY
)

- Phys.Rev.D 78 (2008) 114028
•
e-Print:
- 0810.0987
•
DOI:
- 10.1103/PhysRevD.78.114028

Two-loop QCD correction to differential semi-leptonic b ---> u decays in the shape-function region

M. Beneke
(
- RWTH Aachen U. and
- Zurich U.
)
,
T. Huber
(
- RWTH Aachen U.
)
,
X.-Q. Li
(
- RWTH Aachen U.
)

- Nucl.Phys.B 811 (2009) 77-97
•
e-Print:
- 0810.1230
•
DOI:
- 10.1016/j.nuclphysb.2008.11.019

NNLO corrections to inclusive semileptonic B decays in the shape-function region

Guido Bell
(
- Karlsruhe U., TTP
)

- Nucl.Phys.B 812 (2009) 264-289
•
e-Print:
- 0810.5695
•
DOI:
- 10.1016/j.nuclphysb.2008.12.018

Mass effects in muon and semileptonic b ---> c decays

Alexey Pak
(
- Alberta U.
)
,
Andrzej Czarnecki
(
- Alberta U.
)

- Phys.Rev.Lett. 100 (2008) 241807
•
e-Print:
- 0803.0960
•
DOI:
- 10.1103/PhysRevLett.100.241807

Heavy-to-heavy quark decays at NNLO

Alexey Pak
(
- Alberta U.
)
,
Andrzej Czarnecki
(
- Alberta U.
)

- Phys.Rev.D 78 (2008) 114015
•
e-Print:
- 0808.3509
•
DOI:
- 10.1103/PhysRevD.78.114015

Semi-Leptonic b-decay at Intermediate Recoil

- Phys.Rev.D 78 (2008) 074029
•
e-Print:
- 0809.0491
•
DOI:
- 10.1103/PhysRevD.78.074029

O(alpha**2 ln(m(mu) / m(e)) corrections to electron energy spectrum in muon decay

Andrej Arbuzov
(
- Alberta U.
)
,
Kirill Melnikov
(
- SLAC
)

- Phys.Rev.D 66 (2002) 093003
•
e-Print:
- hep-ph/0205172
•
DOI:
- 10.1103/PhysRevD.66.093003

The Electron energy spectrum in muon decay through O(alpha**2)

Charalampos Anastasiou
(
- Zurich, ETH
)
,
Kirill Melnikov
(
- Hawaii U.
)
,
Frank Petriello
(
- Johns Hopkins U.
)

- JHEP 09 (2007) 014
•
e-Print:
- hep-ph/0505069
•
DOI:
- 10.1088/1126-6708/2007/09/014

Differential equations method: New technique for massive Feynman diagrams calculation

A.V. Kotikov
(
- BITP, Kiev
)

- Phys.Lett.B 254 (1991) 158-164
•
DOI:
- 10.1016/0370-2693(91)90413-K

Differential equation method: The Calculation of N point Feynman diagrams

A.V. Kotikov
(
- BITP, Kiev
)

- Phys.Lett.B 267 (1991) 123-127,
- Phys.Lett.B 295 (1992) 409-409 (erratum)
•
DOI:
- 10.1016/0370-2693(91)90536-Y

Differential equations for Feynman graph amplitudes

Ettore Remiddi
(
- Bologna U. and
- INFN, Bologna
)

- Nuovo Cim.A 110 (1997) 1435-1452
•
e-Print:
- hep-th/9711188
•
DOI:
- 10.1007/BF03185566

Differential equations for two-loop four-point functions

T. Gehrmann
(
- Karlsruhe U., TTP
)
,
E. Remiddi
(
- Karlsruhe U., TTP
)

- Nucl.Phys.B 580 (2000) 485-518
•
e-Print:
- hep-ph/9912329
•
DOI:
- 10.1016/S0550-3213(00)00223-6

Feynman Diagrams and Differential Equations

Mario Argeri
(
- Naples U.
)
,
Pierpaolo Mastrolia
(
- Zurich U.
)

- Int.J.Mod.Phys.A 22 (2007) 4375-4436
•
e-Print:
- 0707.4037
•
DOI:
- 10.1142/S0217751X07037147

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

Evaluating single-scale and/or non-planar diagrams by differential equations

- JHEP 03 (2014) 088
•
e-Print:
- 1312.2588
•
DOI:
- 10.1007/JHEP03(2014)088

Lectures on differential equations for Feynman integrals

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

- J.Phys.A 48 (2015) 153001
•
e-Print:
- 1412.2296
•
DOI:
- 10.1088/1751-8113/48/15/153001

Magnus and Dyson Series for Master Integrals

Mario Argeri
(
- Piemonte Orientale U., Alessandria
)
,
Stefano Di Vita
(
- Munich, Max Planck Inst.
)
,
Pierpaolo Mastrolia
(
- INFN, Padua and
- Padua U. and
- Munich, Max Planck Inst.
)
,
Edoardo Mirabella
(
- Munich, Max Planck Inst.
)
,
Johannes Schlenk
(
- Munich, Max Planck Inst.
)

et al.

- JHEP 03 (2014) 082
•
e-Print:
- 1401.2979
•
DOI:
- 10.1007/JHEP03(2014)082

A Systematic and Efficient Method to Compute Multi-loop Master Integrals

Xiao Liu
(
- Peking U. and
- Peking U., SKLNPT
)
,
Yan-Qing Ma
(
- Peking U. and
- Peking U., SKLNPT and
- Peking U., CHEP and
- CICQM, Beijing
)
,
Chen-Yu Wang
(
- Peking U. and
- Peking U., SKLNPT
)

- Phys.Lett.B 779 (2018) 353-357
•
e-Print:
- 1711.09572
•
DOI:
- 10.1016/j.physletb.2018.02.026

Analytic results for two-loop master integrals for Bhabha scattering I

- JHEP 11 (2013) 041
•
e-Print:
- 1307.4083
•
DOI:
- 10.1007/JHEP11(2013)041

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