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- W2045385295 abstract "The principle of maximum conformality (PMC) provides a convenient way for setting the optimal renormalization scales for high-energy processes, which can eliminate the conventional renormalization scale error via an order-by-order manner. At present, we make a detailed PMC analysis on the Higgs decay $Hrightarrow gammagamma$ up to three-loop QCD corrections. As an important point of deriving reliable PMC estimation, it is noted that only those ${beta_i}$-terms that rightly determine the running behavior of coupling constant via the renormalization group equation should be absorbed into the coupling constant, and those ${beta_i}$-terms that pertain to the quark mass renormalization and etc. should be kept as a separate. To avoid confusion of separating and absorbing different types of ${beta_i}$-terms into the coupling constant, we first transform the decay width in terms of top quark $overline{rm MS}$ mass into that of on-shell mass and then apply the PMC scale setting. After applying PMC scale setting, the final estimation is conformal and is scheme-independent and scale-independent. Up to three-loop QCD corrections, we obtain a PMC scale $mu^{rm PMC}_{r}=242.3$ GeV $sim 2M_H$, which is optimal and highly independent of any choice of initial scale. Thus, we obtain a more accurate scale-independent prediction by taking the Higgs mass as the same as that of ATLAS and CMS measurements, i.e., $Gamma(Hrightarrow gammagamma)|_{rm ATLAS}=9.504^{+0.226}_{-0.252}$ keV and $Gamma(Hrightarrow gammagamma)|_{rm CMS}=9.568^{+0.195}_{-0.191}$ keV, where the error is caused by the measured Higgs mass, i.e. the Higgs mass $M_{H}$ is taken as $125.5pm0.2^{+0.5}_{-0.6}$ GeV for ATLAS and $125.7pm0.3pm0.3$ GeV for CMS, respectively." @default.
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- W2045385295 date "2014-06-03" @default.
- W2045385295 modified "2023-09-26" @default.
- W2045385295 title "An analysis of H → γγ up to three-loop QCD corrections" @default.
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- W2045385295 doi "https://doi.org/10.1088/0954-3899/41/7/075010" @default.
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