Solution to the puzzle using the principle of maximum conformality
Abstract
Here, the next-to-next-to-leading-order (NNLO) pQCD prediction for the γγ* → ηc 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* → ηc 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.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1439733
- Alternate Identifier(s):
- OSTI ID: 1458417
- Grant/Contract Number:
- AC02-76SF00515; SLAC-PUB-17247; 2016GZ42963; KY [2016]028; KY[2017]067; 11547010; 11625520; 11705033; 11605144
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Wang, Sheng-Quan, Wu, Xing-Gang, Sang, Wen-Long, and Brodsky, Stanley J. Solution to the γ γ * → η c puzzle using the principle of maximum conformality. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.094034.
Wang, Sheng-Quan, Wu, Xing-Gang, Sang, Wen-Long, & Brodsky, Stanley J. Solution to the γ γ * → η c puzzle using the principle of maximum conformality. United States. https://doi.org/10.1103/PhysRevD.97.094034
Wang, Sheng-Quan, Wu, Xing-Gang, Sang, Wen-Long, and Brodsky, Stanley J. Thu .
"Solution to the γ γ * → η c puzzle using the principle of maximum conformality". United States. https://doi.org/10.1103/PhysRevD.97.094034.
@article{osti_1439733,
title = {Solution to the γ γ * → η c puzzle using the principle of maximum conformality},
author = {Wang, Sheng-Quan and Wu, Xing-Gang and Sang, Wen-Long and Brodsky, Stanley J.},
abstractNote = {Here, the next-to-next-to-leading-order (NNLO) pQCD prediction for the γγ* → ηc 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* → ηc 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.},
doi = {10.1103/PhysRevD.97.094034},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {Thu May 31 00:00:00 EDT 2018},
month = {Thu May 31 00:00:00 EDT 2018}
}
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https://doi.org/10.1103/PhysRevD.97.094034
https://doi.org/10.1103/PhysRevD.97.094034
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Cited by: 9 works
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Figures / Tables:
FIG. 1: The PMC scale of the NNLO TFF F (Q2) versus Q2. The conventional choice of scale µr = µQ is presented as a comparison.
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