Properties of the decay $${{H\to\gamma\gamma}} $$ using the approximate $${{\alpha_s^4}}$$ corrections and the principle of maximum conformality
Abstract
The decay channel $$ H\to\gamma\gamma $$ is an important channel for probing the properties of the Higgs boson. In this paper, we analyze its decay width by using the perturbative QCD corrections up to the $$ \alpha_s^4 $$ order with the help of the principle of maximum conformality (PMC). PMC has been suggested in literature for eliminating the conventional renormalization scheme-and-scale ambiguities. After applying PMC, we observe that an accurate renormalization scale independent decay width $$ \Gamma(H\to\gamma\gamma) $$ up to the N4LO level can be achieved. Taking the Higgs mass, $$ M_{\rm H} = 125.09\pm $$ $$ 0.21\pm0.11 $$ GeV, given by the ATLAS and CMS collaborations, we obtain $$ \Gamma(H\to \gamma\gamma)|_{\rm LHC} = 9.364^{+0.076}_{-0.075} $$ KeV.
- Authors:
-
- Chongquing Univ. (China)
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Guizhou Minzu Univ., Guiyang (China)
- Hunan Univ., Changsha (China)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE; Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1562462
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Chinese Physics. C, High Energy Physics and Nuclear Physics
- Additional Journal Information:
- Journal Volume: 43; Journal Issue: 9; Journal ID: ISSN 1674-1137
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Yu, Qing, Wu, Xing-Gang, Wang, Sheng-Quan, Huang, Xu-Dong, Shen, Jian-Ming, and Zeng, Jun. Properties of the decay ${{H\to\gamma\gamma}} $ using the approximate ${{\alpha_s^4}}$ corrections and the principle of maximum conformality. United States: N. p., 2019.
Web. doi:10.1088/1674-1137/43/9/093102.
Yu, Qing, Wu, Xing-Gang, Wang, Sheng-Quan, Huang, Xu-Dong, Shen, Jian-Ming, & Zeng, Jun. Properties of the decay ${{H\to\gamma\gamma}} $ using the approximate ${{\alpha_s^4}}$ corrections and the principle of maximum conformality. United States. https://doi.org/10.1088/1674-1137/43/9/093102
Yu, Qing, Wu, Xing-Gang, Wang, Sheng-Quan, Huang, Xu-Dong, Shen, Jian-Ming, and Zeng, Jun. Tue .
"Properties of the decay ${{H\to\gamma\gamma}} $ using the approximate ${{\alpha_s^4}}$ corrections and the principle of maximum conformality". United States. https://doi.org/10.1088/1674-1137/43/9/093102. https://www.osti.gov/servlets/purl/1562462.
@article{osti_1562462,
title = {Properties of the decay ${{H\to\gamma\gamma}} $ using the approximate ${{\alpha_s^4}}$ corrections and the principle of maximum conformality},
author = {Yu, Qing and Wu, Xing-Gang and Wang, Sheng-Quan and Huang, Xu-Dong and Shen, Jian-Ming and Zeng, Jun},
abstractNote = {The decay channel $ H\to\gamma\gamma $ is an important channel for probing the properties of the Higgs boson. In this paper, we analyze its decay width by using the perturbative QCD corrections up to the $ \alpha_s^4 $ order with the help of the principle of maximum conformality (PMC). PMC has been suggested in literature for eliminating the conventional renormalization scheme-and-scale ambiguities. After applying PMC, we observe that an accurate renormalization scale independent decay width $ \Gamma(H\to\gamma\gamma) $ up to the N4LO level can be achieved. Taking the Higgs mass, $ M_{\rm H} = 125.09\pm $ $ 0.21\pm0.11 $ GeV, given by the ATLAS and CMS collaborations, we obtain $ \Gamma(H\to \gamma\gamma)|_{\rm LHC} = 9.364^{+0.076}_{-0.075} $ KeV.},
doi = {10.1088/1674-1137/43/9/093102},
journal = {Chinese Physics. C, High Energy Physics and Nuclear Physics},
number = 9,
volume = 43,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Estimating perturbative coefficients in quantum field theory using Padé approximants
journal, March 1994
- Samuel, Mark A.; Li, G.; Steinfelds, Eric
- Physics Letters B, Vol. 323, Issue 2
Higher order QCD results for the fermionic contributions of the Higgs-boson decay into two photons and the decoupling function for the $$\overline{\text{ MS }}$$ MS ¯ renormalized fine-structure constant
journal, August 2014
- Sturm, Christian
- The European Physical Journal C, Vol. 74, Issue 8
Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
journal, March 2005
- Chetyrkin, K. G.
- Nuclear Physics B, Vol. 710, Issue 1-2
The four-loop QCD β-function and anomalous dimensions
journal, March 2005
- Czakon, M.
- Nuclear Physics B, Vol. 710, Issue 1-2
Commensurate scale relations in quantum chromodynamics
journal, April 1995
- Brodsky, Stanley J.; Lu, Hung Jung
- Physical Review D, Vol. 51, Issue 7
QCD corrections to the Higgs-boson decay
journal, February 1993
- Dawson, S.; Kauffman, Russel P.
- Physical Review D, Vol. 47, Issue 3
First-order QCD corrections to the decay of the Higgs boson into two photons
journal, December 1990
- Zheng, Han-qing; Wu, Dan-di
- Physical Review D, Vol. 42, Issue 11
The renormalization scale-setting problem in QCD
journal, September 2013
- Wu, Xing-Gang; Brodsky, Stanley J.; Mojaza, Matin
- Progress in Particle and Nuclear Physics, Vol. 72
Scale setting using the extended renormalization group and the principle of maximum conformality: The QCD coupling constant at four loops
journal, February 2012
- Brodsky, Stanley J.; Wu, Xing-Gang
- Physical Review D, Vol. 85, Issue 3
The four-loop β-function in quantum chromodynamics
journal, May 1997
- van Ritbergen, T.; Vermaseren, J. A. M.; Larin, S. A.
- Physics Letters B, Vol. 400, Issue 3-4
Novel all-orders single-scale approach to QCD renormalization scale-setting
journal, May 2017
- Shen, Jian-Ming; Wu, Xing-Gang; Du, Bo-Lun
- Physical Review D, Vol. 95, Issue 9
Higgs boson production at the LHC
journal, October 1995
- Spira, M.; Djouadi, A.; Graudenz, D.
- Nuclear Physics B, Vol. 453, Issue 1-2
Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in Perturbative QCD
journal, May 2013
- Mojaza, Matin; Brodsky, Stanley J.; Wu, Xing-Gang
- Physical Review Letters, Vol. 110, Issue 19
Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations
journal, January 2014
- Brodsky, Stanley J.; Mojaza, Matin; Wu, Xing-Gang
- Physical Review D, Vol. 89, Issue 1
The Higgs boson inclusive decay channels $$H \rightarrow b\bar{b}$$ H → b b ¯ and $$H \rightarrow gg$$ H → g g up to four-loop level
journal, April 2014
- Wang, Sheng-Quan; Wu, Xing-Gang; Zheng, Xu-Chang
- The European Physical Journal C, Vol. 74, Issue 4
The three-loop QCD β-function and anomalous dimensions
journal, April 1993
- Larin, S. A.; Vermaseren, J. A. M.
- Physics Letters B, Vol. 303, Issue 3-4
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physics Letters B, Vol. 716, Issue 1
NNLO computational techniques: The cases and
journal, April 2009
- Actis, Stefano; Passarino, Giampiero; Sturm, Christian
- Nuclear Physics B, Vol. 811, Issue 1-2
Analytic results for virtual QCD corrections to Higgs production and decay
journal, January 2007
- Aglietti, Ugo; Bonciani, Roberto; Degrassi, Giuseppe
- Journal of High Energy Physics, Vol. 2007, Issue 01
Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012
- Aad, G.; Abajyan, T.; Abbott, B.
- Physics Letters B, Vol. 716, Issue 1
Higgs production and decay: analytic results at next-to-leading order QCD
journal, December 2005
- Harlander, Robert V.; Kant, Philipp
- Journal of High Energy Physics, Vol. 2005, Issue 12
Setting the renormalization scale in QCD: The principle of maximum conformality
journal, October 2012
- Brodsky, Stanley J.; Di Giustino, Leonardo
- Physical Review D, Vol. 86, Issue 8
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
journal, July 1974
- Caswell, William E.
- Physical Review Letters, Vol. 33, Issue 4
A phenomenological profile of the Higgs boson
journal, April 1976
- Ellis, J.
- Nuclear Physics B, Vol. 106, Issue 2
QCD corrections to γγ decays of Higgs particles in the intermediate mass range
journal, March 1991
- Djouadi, A.; Spira, M.; van der Bij, J. J.
- Physics Letters B, Vol. 257, Issue 1-2
Two-photon decay widths of Higgs particles
journal, July 1993
- Djouadi, A.; Spira, M.; Zerwas, P. M.
- Physics Letters B, Vol. 311, Issue 1-4
Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973
- Gross, David J.; Wilczek, Frank
- Physical Review Letters, Vol. 30, Issue 26
Comparison of the Padé Approximation Method to Perturbative QCD Calculations
journal, May 1995
- Samuel, Mark A.; Ellis, John; Karliner, Marek
- Physical Review Letters, Vol. 74, Issue 22
Reliable Perturbative Results for Strong Interactions?
journal, June 1973
- Politzer, H. David
- Physical Review Letters, Vol. 30, Issue 26
Resummation of the QCD perturbative series for hard processes
journal, November 1989
- Catani, S.; Trentadue, L.
- Nuclear Physics B, Vol. 327, Issue 2
Analytical result for the two-loop QCD correction to the decay H→2γ
journal, April 2004
- Fleischer, J.; Tarasov, O. V.; Tarasov, V. O.
- Physics Letters B, Vol. 584, Issue 3-4
Qcd Corrections to Two-Photon Decay of the Higgs Boson and its Reverse Process
journal, April 1994
- Inoue, M.; Najima, R.; Oka, T.
- Modern Physics Letters A, Vol. 09, Issue 13
The generalized scheme-independent Crewther relation in QCD
journal, July 2017
- Shen, Jian-Ming; Wu, Xing-Gang; Ma, Yang
- Physics Letters B, Vol. 770
Five-Loop Running of the QCD Coupling Constant
journal, February 2017
- Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.
- Physical Review Letters, Vol. 118, Issue 8
Review of Particle Physics
journal, August 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Physical Review D, Vol. 98, Issue 3
Self-consistency requirements of the renormalization group for setting the renormalization scale
journal, September 2012
- Brodsky, Stanley J.; Wu, Xing-Gang
- Physical Review D, Vol. 86, Issue 5
Solution to the puzzle using the principle of maximum conformality
journal, May 2018
- Wang, Sheng-Quan; Wu, Xing-Gang; Sang, Wen-Long
- Physical Review D, Vol. 97, Issue 9
Application of the principle of maximum conformality to the hadroproduction of the Higgs boson at the LHC
journal, September 2016
- Wang, Sheng-Quan; Wu, Xing-Gang; Brodsky, Stanley J.
- Physical Review D, Vol. 94, Issue 5
Higgs-two-photon interaction in the standard model. The QCD radiative correction
journal, August 1993
- Melnikov, K.; Yakovlev, O.
- Physics Letters B, Vol. 312, Issue 1-2
-on-shell quark mass relation up to four loops in QCD and a general gauge group
journal, October 2016
- Marquard, Peter; Smirnov, Alexander V.; Smirnov, Vladimir A.
- Physical Review D, Vol. 94, Issue 7
Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review
journal, October 2015
- Wu, Xing-Gang; Ma, Yang; Wang, Sheng-Quan
- Reports on Progress in Physics, Vol. 78, Issue 12
Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
journal, July 2012
- Brodsky, Stanley J.; Wu, Xing-Gang
- Physical Review Letters, Vol. 109, Issue 4
The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980
- Tarasov, O. V.; Vladimirov, A. A.; Zharkov, A. Yu.
- Physics Letters B, Vol. 93, Issue 4
Complete three-loop QCD corrections to the decay <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>H</mml:mi><mml:mo>→</mml:mo><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>
journal, April 2013
- Maierhöfer, P.; Marquard, P.
- Physics Letters B, Vol. 721, Issue 1-3
Vector correlator in massless QCD at order $ \mathcal{O}\left( {\alpha_s^4} \right) $ and the QED β-function at five loop
journal, July 2012
- Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.
- Journal of High Energy Physics, Vol. 2012, Issue 7
An analysis of H → γγ up to three-loop QCD corrections
journal, June 2014
- Wang, Sheng-Quan; Wu, Xing-Gang; Zheng, Xu-Chang
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 7
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