QCD corrections to theBcto charmonia semileptonic decays

2014/07/28 by Jian-Ming Shen, Xing-Gang Wu, Hong-Hao Ma +1 · 24 citations
Physics and Astronomy · #Combinatorics #Coupling (piping) #Energy (signal processing) #High-Energy Particle Collisions Research #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.90.034025

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(3) (American Physical Society) · 11 pages, 5 figures

arxiv created 2014/07/28 · openalex publication_date 2014/08/29 · arxiv updated 2014/09/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a detailed analysis on the B_c meson semileptonic decays, B_c\ensuremath→\ensuremathη_c(J/\ensuremathψ)\ensuremathℓ\ensuremathν, up to next-to-leading order (NLO) QCD correction. We adopt the principle of maximum conformality (PMC) to set the renormalization scales for those decays. After applying the PMC scale setting, we determine the optimal renormalization scales for the B_c\ensuremath→\ensuremathη_c(J/\ensuremathψ) transition form factors (TFFs). Because of the same \ensuremathβ₀-terms, the optimal PMC scales at the NLO level are the same for all those TFFs, i.e., \ensuremathμ_r^PMC\ensuremath≈0.8 GeV. We adopt a strong coupling model from the massive perturbation theory to achieve a reliable pQCD estimation in this low energy region. Furthermore, we adopt a monopole form as an extrapolation for the B_c\ensuremath→\ensuremathη_c(J/\ensuremathψ) TFFs to all their allowable q² region. Then, we predict \mathrm\ensuremathΓ_B_c\ensuremath→\ensuremathη_c\ensuremathℓ\ensuremathν(\ensuremathℓ=e,\ensuremathμ)=(71.53_\ensuremath-8.90^+11.27)\ifmmode×\else\texttimes\fi10^\ensuremath-15 GeV, \mathrm\ensuremathΓ_B_c\ensuremath→\ensuremathη_c\ensuremathτ\ensuremathν=(27.14_\ensuremath-4.33^+5.93)\ifmmode×\else\texttimes\fi10^\ensuremath-15 GeV, \mathrm\ensuremathΓ_B_c\ensuremath→J/\ensuremathψ\ensuremathℓ\ensuremathν(\ensuremathℓ=e,\ensuremathμ)=(106.31_\ensuremath-14.01^+18.59)\ifmmode×\else\texttimes\fi10^\ensuremath-15 GeV, \mathrm\ensuremathΓ_B_c\ensuremath→J/\ensuremathψ\ensuremathτ\ensuremathν=\phantom\rule0ex0ex(28.25_\ensuremath-4.35^+6.02)\ifmmode×\else\texttimes\fi10^\ensuremath-15 GeV, where the uncertainties are squared averages of all the mentioned error sources. We show that the present prediction of the production cross section times branching ratio for B_c⁺\ensuremath→J/\ensuremathψ\ensuremathℓ⁺v relative to that for B⁺\ensuremath→J/\ensuremathψK⁺, i.e., \ensuremath\mathfrakR(J/\ensuremathψ\ensuremathℓ⁺\ensuremathν), is in a better agreement with CDF measurements than the previous predictions.

Citations

• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• NLO QCD corrections to B c -to-charmonium form factors
• Beauty mesons in lattice QCD with exact chiral symmetry
• Review of Particle Physics
• Hadronic production of theP-wave excitedBcstates (BcJ,L=1*)
• “Massive” perturbative QCD, Regular in the IR limit
• The Renormalization Scale-Setting Problem in QCD
• Study of exclusive semileptonic and nonleptonic decays ofBc−in a nonrelativistic quark model
• Dynamical mass generation in continuum quantum chromodynamics
• Quantum Electrodynamics at Small Distances
• Bs, Bc and b-baryons

Cited by

• Weak decays of J / ψ and ϒ ( 1 S )