NNLO QCD corrections to $\gamma + \eta_c(\eta_b)$ exclusive production in electron-positron collision

Chen, Long-Bin; Liang, Yi; Qiao, Cong-Feng

doi:10.1007/JHEP01(2018)091

NNLO QCD corrections to $\gamma + \eta_c(\eta_b)$ exclusive production in electron-positron collision

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

Oct 21, 2017

12 pages

Published in:

JHEP 01 (2018) 091

Published: Jan 19, 2018

e-Print:

1710.07865 [hep-ph]

DOI:

10.1007/JHEP01(2018)091

View in:

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Abstract: (Springer)

Based on the NRQCD factorization formalism, we calculate the next-to-next-to-leading order QCD corrections to the heavy quarkonium η

_{c}

(η

_{b}

) production associated with a photon at electron-positron colliders. By matching the amplitudes calculated in full QCD theory to a series of operators in NRQCD, the short-distance coefficients up to NNLO QCD radiative corrections are determined. It turns out that the full set of master integrals that we obtained could be analytically expressed in terms of Goncharov Polylogarithms, integrals over polylogarithms and complete elliptic integrals, which mostly do not exist in the literature and could be employed in the analyses of other physical processes. In phenomenology, numerical calculations of NNLO K-factors and cross sections of e

^{+}

e

^{−}

→ γ + η

_{c}

(η

_{b}

) processes in BESIII and B-factory experiments are performed, which may stand as a test of the NRQCD higher order calculation while confronting to the data.

Note:

12 pages, 5 firues

NLO Computations
QCD Phenomenology
quantum chromodynamics: nonrelativistic
factorization
quantum chromodynamics: correction
quantum chromodynamics: radiative correction
higher-order: 2
quarkonium: heavy
exclusive production
master integral

References(43)

Figures(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

Heavy Quarkonium: Progress, Puzzles, and Opportunities

N. Brambilla
(
- Munich, Tech. U.
)
,
S. Eidelman
(
- Novosibirsk State U. and
- Novosibirsk, IYF
)
,
B.K. Heltsley
(
- Cornell U., Phys. Dept.
)
,
R. Vogt
(
- UC, Davis and
- LLNL, Livermore
)
,
G.T. Bodwin
(
- Argonne
)

et al.

- Eur.Phys.J.C 71 (2011) 1534
•
e-Print:
- 1010.5827
•
DOI:
- 10.1140/epjc/s10052-010-1534-9

Exclusive Double Charmonium Production from $e^+ e^-$ Annihilation into a Virtual Photon

Eric Braaten
(
- Ohio State U. and
- Fermilab
)
,
Jungil Lee
(
- Argonne
)

- Phys.Rev.D 67 (2003) 054007,
- Phys.Rev.D 72 (2005) 099901 (erratum)
•
e-Print:
- hep-ph/0211085
•
DOI:
- 10.1103/PhysRevD.72.099901

Problems of double charm production in e+ e- annihilation at s**(1/2) = 10.6-GeV

Kui-Yong Liu
(
- Peking U.
)
,
Zhi-Guo He
(
- Peking U.
)
,
Kuang-Ta Chao
(
- CCAST World Lab, Beijing and
- Peking U.
)

- Phys.Lett.B 557 (2003) 45-54
•
e-Print:
- hep-ph/0211181
•
DOI:
- 10.1016/S0370-2693(03)00176-X

Exclusive $J/\psi$ productions at $e^{+} e^{-}$ colliders

Kaoru Hagiwara
(
- KEK, Tsukuba
)
,
Emi Kou
(
- Durham U., IPPP
)
,
Cong-Feng Qiao
(
- Beijing, GUCAS and
- ICTP, Trieste
)

- Phys.Lett.B 570 (2003) 39-45
•
e-Print:
- hep-ph/0305102
•
DOI:
- 10.1016/j.physletb.2003.07.006

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

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

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

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

FORM-FACTORS OF HEAVY MESONS IN QCD

Mikhail A. Shifman
(
- Moscow, ITEP
)
,
Michael I. Vysotsky
(
- Moscow, ITEP
)

- Nucl.Phys.B 186 (1981) 475-518
•
DOI:
- 10.1016/0550-3213(81)90023-7

Higher Order Corrections to the Cross Section of e+e- ---> Quarkonium + gamma

- Phys.Rev.D 81 (2010) 034028
•
e-Print:
- 0910.4071
•
DOI:
- 10.1103/PhysRevD.81.034028

Search for C= charmonium and bottomonium states in e+ e- ---> gamma + X at B factories

Dan Li
(
- Peking U. and
- Peking U., CAPT
)
,
Zhi-Guo He
(
- Peking U. and
- Peking U., CAPT and
- Barcelona U., ECM and
- ICC, Barcelona U.
)
,
Kuang-Ta Chao
(
- Peking U. and
- Peking U., CAPT
)

- Phys.Rev.D 80 (2009) 114014
•
e-Print:
- 0910.4155
•
DOI:
- 10.1103/PhysRevD.80.114014

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

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

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,
- Phys.Rev.Lett. 133 (2024) 25, 259901 (erratum)
•
e-Print:
- 1401.3005
•
DOI:
- 10.1103/PhysRevLett.112.151801