Jian-Ming Shen

Reanalysis of the BFKL Pomeron at the next-to-leading logarithmic accuracy

A bstractWe apply the principle of maximum conformality (PMC) to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron intercept at the next-to-leading logarithmic (NLL) accuracy. The PMC eliminates the conventional renormalization scale ambiguity by absorbing the non-conformal {βi}-terms into the running coupling, and a more accurate pQCD estimation can be obtained. After PMC scale setting, the QCD perturbative convergence can be greatly improved due to the elimination of renormalon terms in pQCD series, and the BFKL Pomeron intercept has a weak dependence on the virtuality of the reggeized gluon. For example, by taking the Fried-Yennie gauge, we obtain

The Higgs boson inclusive decay channels \(H \rightarrow b\bar{b}\) and \(H \rightarrow gg\) up to four-loop level

\omega_{\mathrm{MOM}}^{\mathrm{PMC}}

QCD corrections to the

(Q2, 0) ∈ [0.149, 0.176] for Q2 ∈ [1, 100] GeV2. This is a good property to apply to the high-energy phenomenology. Further more, to compare with the data, it is found that the physical MOM-scheme is more reliable than the

B_c

\overline{\mathrm{MS}}

to charmonia semileptonic decays

-scheme. The MOM-scheme is gauge dependent, which can also be greatly suppressed after PMC scale setting. We discuss the MOM-scheme gauge dependence for the Pomeron intercept by adopting three gauges, i.e. the Landau gauge, the Feynman gauge and the Fried-Yennie gauge, and we obtain

QCD improved electroweak parameter ρ

\omega_{\mathrm{MOM}}^{\mathrm{PMC}}

An analysis of H → γγ up to three-loop QCD corrections

(Q2 = 15 GeV2, 0) =

J/ψ+χcJ production at the B factories under the principle of maximum conformality

0.166_{-0.017}^{+0.010 }

Novel All-Orders Single-Scale Approach to QCD Renormalization Scale-Setting

; i.e. about 10% gauge dependence is observed. We apply the BFKL Pomeron intercept to the photon-photon collision process, and compare the theoretical predictions with the data from the OPAL and L3 experiments.

The Higgs-boson decay

The principle of maximum conformality (PMC) has been suggested to eliminate the renormalization scheme and renormalization scale uncertainties, which are unavoidable for the conventional scale setting and are usually important errors for theoretical estimations. In this paper, by applying PMC scale setting, we analyze two important inclusive Standard Model Higgs decay channels,