Solution to the γ γ * → η c puzzle using the principle of maximum conformality

Wang, Sheng-Quan; Wu, Xing-Gang; Sang, Wen-Long; Brodsky, Stanley J.

doi:10.1103/PhysRevD.97.094034

Title: Solution to the $γ γ^{*} \to η_{c}$ puzzle using the principle of maximum conformality

Journal Article · Thu May 31 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.094034· OSTI ID:1439733

Wang, Sheng-Quan; Wu, Xing-Gang; Sang, Wen-Long; Brodsky, Stanley J.

Here, the next-to-next-to-leading-order (NNLO) pQCD prediction for the γγ* → η_c form factor was evaluated in 2015 using nonrelativistic QCD (NRQCD). A strong discrepancy between the NRQCD prediction and the BABAR measurements was observed. Until now there has been no solution for this puzzle. In this paper, we present a NNLO analysis by applying the Principle of Maximum Conformality (PMC) to set the renormalization scale. By carefully dealing with the light-by-light diagrams at the NNLO level, the resulting high precision PMC prediction agrees with the BABAR measurements within errors, and the conventional renormalization scale uncertainty is eliminated. The PMC is consistent with all of the requirements of the renormalization group, including scheme-independence. The application of the PMC thus provides a rigorous solution for the γγ* → η_c form factor puzzle, emphasizing the importance of correct renormalization scale-setting. The results also support the applicability of NRQCD to hard exclusive processes involving charmonium.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; SLAC-PUB-17247; 2016GZ42963; KY [2016]028; KY[2017]067; 11547010; 11625520; 11705033; 11605144

OSTI ID:: 1439733

Alternate ID(s):: OSTI ID: 1458417

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (20)

$ \mathcal{O}\left( {{\alpha_s}{v^2}} \right) $ correction to pseudoscalar quarkonium decay to two photons Jia, Yu; Yang, Xiu-Ting; Sang, Wen-Long Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)097	journal	June 2011
RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses Chetyrkin, K. G.; Kühn, J. H.; Steinhauser, M. Computer Physics Communications, Vol. 133, Issue 1 https://doi.org/10.1016/S0010-4655(00)00155-7	journal	December 2000
Renormalons Beneke, M. Physics Reports, Vol. 317, Issue 1-2 https://doi.org/10.1016/S0370-1573(98)00130-6	journal	August 1999
Self-consistency requirements of the renormalization group for setting the renormalization scale Brodsky, Stanley J.; Wu, Xing-Gang Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054018	journal	September 2012
Can Nonrelativistic QCD Explain the $γ γ^{*} \to η_{c}$ Transition Form Factor Data? Feng, Feng; Jia, Yu; Sang, Wen-Long Physical Review Letters, Vol. 115, Issue 22 https://doi.org/10.1103/PhysRevLett.115.222001	journal	November 2015
Partonic structure of neutral pseudoscalars via two photon transition form factors Raya, Khépani; Ding, Minghui; Bashir, Adnan Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074014	journal	April 2017
Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.1125	journal	February 1995
Importance of proper renormalization scale-setting for QCD testing at colliders Wu, Xing-Gang; Wang, Sheng-Quan; Brodsky, Stanley J. Frontiers of Physics, Vol. 11, Issue 1 https://doi.org/10.1007/s11467-015-0518-5	journal	December 2015
Light-front holographic QCD and emerging confinement Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter Physics Reports, Vol. 584 https://doi.org/10.1016/j.physrep.2015.05.001	journal	July 2015
Higher order corrections to the cross section of $e^{+} e^{-} \to quarkonium + γ$ Sang, Wen-Long; Chen, Yu-Qi Physical Review D, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevD.81.034028	journal	February 2010
The renormalization scale-setting problem in QCD Wu, Xing-Gang; Brodsky, Stanley J.; Mojaza, Matin Progress in Particle and Nuclear Physics, Vol. 72 https://doi.org/10.1016/j.ppnp.2013.06.001	journal	September 2013
Scale setting using the extended renormalization group and the principle of maximum conformality: The QCD coupling constant at four loops Brodsky, Stanley J.; Wu, Xing-Gang Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034038	journal	February 2012
Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review Wu, Xing-Gang; Ma, Yang; Wang, Sheng-Quan Reports on Progress in Physics, Vol. 78, Issue 12 https://doi.org/10.1088/0034-4885/78/12/126201	journal	October 2015
Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)] Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter Physical Review D, Vol. 55, Issue 9 https://doi.org/10.1103/PhysRevD.55.5853	journal	May 1997
Measurement of the $γ γ * \to η_{c}$ transition form factor Lees, J. P.; Poireau, V.; Prencipe, E. Physical Review D, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevD.81.052010	journal	March 2010
On the elimination of scale ambiguities in perturbative quantum chromodynamics Brodsky, Stanley J.; Lepage, G. Peter; Mackenzie, Paul B. Physical Review D, Vol. 28, Issue 1 https://doi.org/10.1103/PhysRevD.28.228	journal	July 1983
Novel all-orders single-scale approach to QCD renormalization scale-setting Shen, Jian-Ming; Wu, Xing-Gang; Du, Bo-Lun Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.094006	journal	May 2017
$O (α_{s} v^{2})$ corrections to hadronic and electromagnetic decays of ${}^{1}S_{0}$ heavy quarkonium Guo, Huai-Ke; Ma, Yan-Qing; Chao, Kuang-Ta Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114038	journal	June 2011
Quantum Electrodynamics at Small Distances Gell-Mann, M.; Low, F. E. Physical Review, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRev.95.1300	journal	September 1954
Aspects of SU(Nc) gauge theories in the limit of small number of colors Brodsky, Stanley J.; Huet, Patrick Physics Letters B, Vol. 417, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01209-4	journal	January 1998

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