Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors - INSPIRE

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Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors

Long-Bin Chen
(
- Guangzhou U.
)
,
Jun Jiang
(
- Beijing, GUCAS
)
,
Cong-Feng Qiao
(
- Beijing, GUCAS and
- CAS, CEPP, Beijing
)

Dec 10, 2017

22 pages

Published in:

JHEP 04 (2018) 080

Published: Apr 13, 2018

e-Print:

1712.03516 [hep-ph]

DOI:

10.1007/JHEP04(2018)080

View in:

ADS Abstract Service

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Abstract: (Springer)

By employing the differential equations, we compute analytically the elliptic sectors of two-loop master integrals appearing in the NNLO QCD corrections to CP-even\ heavy quarkonium exclusive production and decays, which turns out to be the last and toughest part in the relevant calculation. The integrals are found can be expressed as Goncharov polylogarithms and iterative integrals over elliptic functions. The master integrals may be applied to some other NNLO QCD calculations about heavy quarkonium exclusive production, like

{\gamma}^{\ast}\gamma \to Q\overline{Q}

,

{e}^{+}{e}^{-}\to \gamma +Q\overline{Q}

, and

H/{Z}^0\to \gamma +Q\overline{Q}

, heavy quarkonium exclusive decays, and also the CP-even heavy quarkonium inclusive production and decays.

Note:

23 pages, 3 figures, more discussions and references added

Heavy Quark Physics
Perturbative QCD
differential equations
master integral
loop integral
quantum chromodynamics: perturbation theory
quantum chromodynamics: correction
correction: higher-order
higher-order: 2
quarkonium: heavy

References(69)

Figures(4)

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

Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions

- JHEP 05 (2014) 090
•
e-Print:
- 1402.7078
•
DOI:
- 10.1007/JHEP05(2014)090

The two-loop master integrals for $q\overline{q} \to VV$

Thomas Gehrmann
(
- Zurich U.
)
,
Andreas von Manteuffel
(
- U. Mainz, PRISMA
)
,
Lorenzo Tancredi
(
- Zurich U.
)
,
Erich Weihs
(
- Zurich U.
)

- JHEP 06 (2014) 032
•
e-Print:
- 1404.4853
•
DOI:
- 10.1007/JHEP06(2014)032

Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons

Fabrizio Caola
(
- Johns Hopkins U.
)
,
Johannes M. Henn
(
- Princeton, Inst. Advanced Study
)
,
Kirill Melnikov
(
- Johns Hopkins U.
)
,
Vladimir A. Smirnov
(
- SINP, Moscow
)

- JHEP 09 (2014) 043
•
e-Print:
- 1404.5590
•
DOI:
- 10.1007/JHEP09(2014)043

Three-loop master integrals for ladder-box diagrams with one massive leg

Stefano Di Vita
(
- Munich, Max Planck Inst.
)
,
Pierpaolo Mastrolia
(
- Munich, Max Planck Inst. and
- Padua U. and
- INFN, Padua
)
,
Ulrich Schubert
(
- Munich, Max Planck Inst.
)
,
Valery Yundin
(
- Munich, Max Planck Inst.
)

- JHEP 09 (2014) 148
•
e-Print:
- 1408.3107
•
DOI:
- 10.1007/JHEP09(2014)148

Master integrals for the two-loop penguin contribution in non-leptonic B-decays

Guido Bell
(
- Oxford U., Theor. Phys.
)
,
Tobias Huber
(
- Siegen U.
)

- JHEP 12 (2014) 129
•
e-Print:
- 1410.2804
•
DOI:
- 10.1007/JHEP12(2014)129

Two-loop master integrals for non-leptonic heavy-to-heavy decays

Tobias Huber
(
- Siegen U.
)
,
Susanne Kränkl
(
- Siegen U.
)

- JHEP 04 (2015) 140
•
e-Print:
- 1503.00735
•
DOI:
- 10.1007/JHEP04(2015)140

Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays

Long-Bin Chen
(
- Beijing, GUCAS
)
,
Cong-Feng Qiao
(
)

- Phys.Lett.B 748 (2015) 443-450
•
e-Print:
- 1503.05122
•
DOI:
- 10.1016/j.physletb.2015.07.043

Next-to-leading order QCD corrections to the decay width H → Zγ

R. Bonciani
(
- Rome U. and
- INFN, Rome
)
,
Vittorio Del Duca
(
- Zurich, ETH and
- Frascati
)
,
Hjalte Frellesvig
(
- Democritos Nucl. Res. Ctr.
)
,
Johannes M. Henn
(
- Princeton, Inst. Advanced Study
)
,
Francesco Moriello
(
- Rome U. and
- INFN, Rome
)

et al.

- JHEP 08 (2015) 108
•
e-Print:
- 1505.00567
•
DOI:
- 10.1007/JHEP08(2015)108

The rare decay $H\to Z\gamma$ in perturbative QCD

- JHEP 09 (2015) 038
•
e-Print:
- 1505.00561
•
DOI:
- 10.1007/JHEP09(2015)038

The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions

Andrey Grozin
(
- Novosibirsk, IYF and
- Novosibirsk State U.
)
,
Johannes M. Henn
(
- Mainz U., Inst. Phys.
)
,
Gregory P. Korchemsky
(
- IPhT, Saclay
)
,
Peter Marquard
(
- DESY, Zeuthen
)

- JHEP 01 (2016) 140
•
e-Print:
- 1510.07803
•
DOI:
- 10.1007/JHEP01(2016)140

Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Roberto Bonciani
(
- INFN, Rome and
- Rome U.
)
,
Stefano Di Vita
(
- DESY
)
,
Pierpaolo Mastrolia
(
- INFN, Padua and
- Munich, Max Planck Inst. and
- Padua U.
)
,
Ulrich Schubert
(
- Munich, Max Planck Inst.
)

- JHEP 09 (2016) 091
•
e-Print:
- 1604.08581
•
DOI:
- 10.1007/JHEP09(2016)091

Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production

Matteo Becchetti
(
- Rome U. and
- INFN, Rome
)
,
Roberto Bonciani
(
- Rome U. and
- INFN, Rome
)

- JHEP 01 (2018) 048
•
e-Print:
- 1712.02537
•
DOI:
- 10.1007/JHEP01(2018)048

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams

et al.

- J.Math.Phys. 59 (2018) 6, 062305
•
e-Print:
- 1706.01299
•
DOI:
- 10.1063/1.4986417

Iterated Binomial Sums and their Associated Iterated Integrals

- J.Math.Phys. 55 (2014) 112301
•
e-Print:
- 1407.1822
•
DOI:
- 10.1063/1.4900836

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