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

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

Long-Bin Chen
(
- Beijing, GUCAS and
- CAS, CEPP, Beijing
)
,
Yi Liang
(
- Beijing, GUCAS
)
,
Cong-Feng Qiao
(
- Beijing, GUCAS and
- CAS, CEPP, Beijing and
- York U., Canada
)

Mar 11, 2017

37 pages

Published in:

JHEP 06 (2017) 025

Published: Jun 6, 2017

e-Print:

1703.03929 [hep-ph]

DOI:

10.1007/JHEP06(2017)025

View in:

ADS Abstract Service

reference search13 citations

Citations per year

Abstract: (Springer)

By employing the method of differential equations, we compute the various types of two-loop master integrals involved in CP-even heavy quarkonium exclusive production and decays. All the integrals presented in this paper can be casted into canonical forms and expressed in terms of Goncharov polylogarithms and Harmonic polylogarithms. These master integrals are frequently used in the calculation of NNLO corrections of the heavy quarkonium production processes, as {\upgamma}^{*}\upgamma \to Q\overline{Q},\kern0.5em {e}^{+}{e}^{-}\to \upgamma +Q\overline{Q} , and H/{Z}^0\to \upgamma +Q\overline{Q} , and decay processes. They are also applicable in the calculation of NNLO corrections to CP-even quarkonium inclusive production and decay processes.

Note:

33 pages, 2 figures

e+-e- Experiments
QCD
Quarkonium
quarkonium: production
quarkonium: heavy
master integral
differential equations
Feynman graph: higher-order
quantum chromodynamics: correction
correction: higher-order

References(69)

Figures(5)

[1]

Experimental Observation of a Heavy Particle $J$

E598

Collaboration

•

J.J. Aubert
(
- MIT, LNS
)

et al.

- Phys.Rev.Lett. 33 (1974) 1404-1406,
- In *Lichtenberg, D.B. (ed.), Rosen, S.P. (ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 204-206,
- In *Rosner, J.L. (ed.): New Particles*, 52-53,
- In *Cahn, R.N., Goldhaber, G.: The experimental foundations of particle physics* 279-281
•
DOI:
- 10.1103/PhysRevLett.33.1404

[2]

Discovery of a Narrow Resonance in $e^+ e^-$ Annihilation

SLAC-SP-017

Collaboration

•

J.E. Augustin
(
- SLAC
)

et al.

- Phys.Rev.Lett. 33 (1974) 1406-1408,
- Adv.Exp.Phys. 5 (1976) 141
•
DOI:
- 10.1103/PhysRevLett.33.1406

[3]

Observation of double c anti-c production in e+ e- annihilation at s**(1/2) approximately 10.6-GeV

Belle

Collaboration

•

Kazuo Abe
(
- KEK, Tsukuba
)

et al.

- Phys.Rev.Lett. 89 (2002) 142001
•
e-Print:
- hep-ex/0205104
•
DOI:
- 10.1103/PhysRevLett.89.142001

[4]

Measurement of double charmonium production in $e^+e^-$ annihilations at $\sqrt{s}=10.6$ GeV

BaBar

Collaboration

•

Bernard Aubert
(
- Annecy, LAPP
)

et al.

- Phys.Rev.D 72 (2005) 031101
•
e-Print:
- hep-ex/0506062
•
DOI:
- 10.1103/PhysRevD.72.031101

[5]

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium

- Phys.Rev.D 51 (1995) 1125-1171,
- Phys.Rev.D 55 (1997) 5853 (erratum)
•
e-Print:
- hep-ph/9407339
•
DOI:
- 10.1103/PhysRevD.55.5853

[6]

Next-to-leading order QCD correction to e+ e- ---> J / psi + eta(c) at s**(1/2) = 10.6-GeV

Yu-Jie Zhang
(
- Peking U.
)
,
Ying-jia Gao
(
- Peking U.
)
,
Kuang-Ta Chao
(
- CCAST World Lab, Beijing and
- Peking U.
)

- Phys.Rev.Lett. 96 (2006) 092001
•
e-Print:
- hep-ph/0506076
•
DOI:
- 10.1103/PhysRevLett.96.092001

[7]

Double charm production e+ e- ---> J / psi + c anti-c at B factories with next-to-leading order QCD correction

Yu-Jie Zhang
(
- Peking U.
)
,
Kuang-Ta Chao
(
- CCAST World Lab, Beijing and
- Peking U.
)

- Phys.Rev.Lett. 98 (2007) 092003
•
e-Print:
- hep-ph/0611086
•
DOI:
- 10.1103/PhysRevLett.98.092003

[8]

Two loop correction to the leptonic decay of quarkonium

M. Beneke
(
- CERN
)
,
A. Signer
(
- CERN
)
,
Vladimir A. Smirnov
(
- Moscow State U.
)

- Phys.Rev.Lett. 80 (1998) 2535-2538
•
e-Print:
- hep-ph/9712302
•
DOI:
- 10.1103/PhysRevLett.80.2535

[9]

Two loop QCD corrections to the heavy quark pair production cross-section in e+ e- annihilation near the threshold

Andrzej Czarnecki
(
- Brookhaven
)
,
Kirill Melnikov
(
- Karlsruhe U., TTP
)

- Phys.Rev.Lett. 80 (1998) 2531-2534
•
e-Print:
- hep-ph/9712222
•
DOI:
- 10.1103/PhysRevLett.80.2531

[10]

Leptonic decay of the $\Upsilon$ (1 $S$ ) meson at third order in QCD

Martin Beneke
(
- Munich, Tech. U. and
- RWTH Aachen U.
)
,
Yuichiro Kiyo
(
- Juntendo U.
)
,
Peter Marquard
(
- DESY, Zeuthen
)
,
Alexander Penin
(
- Alberta U.
)
,
Jan Piclum
(
- Munich, Tech. U. and
- RWTH Aachen U.
)

et al.

- Phys.Rev.Lett. 112 (2014) 15, 151801
•
e-Print:
- 1401.3005
•
DOI:
- 10.1103/PhysRevLett.112.151801

[11]

Charmonium decays: J / psi ---> e+ e- and eta(c) ---> gamma gamma

Andrzej Czarnecki
(
- Alberta U.
)
,
Kirill Melnikov
(
- SLAC
)

- Phys.Lett.B 519 (2001) 212-218
•
e-Print:
- hep-ph/0109054
•
DOI:
- 10.1016/S0370-2693(01)01129-7

[12]

Two loop QCD corrections to B(c) meson leptonic constant

Andrei I. Onishchenko
(
- Wayne State U. and
- Serpukhov, IHEP and
- Moscow, ITEP
)
,
Oleg L. Veretin
(
- Karlsruhe U., TTP
)

- Eur.Phys.J.C 50 (2007) 801-808
•
e-Print:
- hep-ph/0302132
•
DOI:
- 10.1140/epjc/s10052-007-0255-1

[13]

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

[14]

Can Nonrelativistic QCD Explain the $\gamma\gamma^* \to \eta_c$ Transition Form Factor Data?

Feng Feng
(
- Sci. Tech. U., Beijing
)
,
Yu Jia
(
)
,
Wen-Long Sang
(
- Beijing, Inst. Theor. Phys. and
- SWU, Chongqing
)

- Phys.Rev.Lett. 115 (2015) 22, 222001
•
e-Print:
- 1505.02665
•
DOI:
- 10.1103/PhysRevLett.115.222001

[15]

Asymptotic expansion of Feynman integrals near threshold

M. Beneke
(
- CERN
)
,
Vladimir A. Smirnov
(
- Moscow State U.
)

- Nucl.Phys.B 522 (1998) 321-344
•
e-Print:
- hep-ph/9711391
•
DOI:
- 10.1016/S0550-3213(98)00138-2

[16]

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

[17]

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

[18]

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

[19]

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

[20]

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

[21]

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

[22]

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

[23]

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

[24]

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

[25]

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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