Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators

2008/10/31 by Hiroyuki Kawamura, Kazuhiro Tanaka · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #B meson #Dimension (graph theory) #Distribution (mathematics) #Factorization #High-Energy Particle Collisions Research #Logarithm #Mathematical analysis #Mathematics #Meson #Operator (biology) #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Radiative transfer #hep-ph

paper · pdf · doi:10.1016/j.physletb.2009.02.028

published as Phys.Lett.B673:201-207,2009 · 13 pages, 2 figures; minor corrections, version published in PLB

openalex publication_date 2009/02/22 · arxiv created 2009/03/07 · arxiv updated 2010/04/28 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/05

Abstract

When the bilocal heavy-quark effective theory (HQET) operator for the B-meson distribution amplitude has a light-like distance t between the quark and antiquark fields, the scale ∼ 1/t separates the UV and IR regions, which induce the cusp singularity in radiative corrections and the mixing of multiparticle states in nonperturbative corrections, respectively. We treat these notorious UV and IR behaviors simultaneously using the operator product expansion, with the local operators of dimension d ≤ 5 and radiative corrections at order α_s for the corresponding Wilson coefficients. The result is derived in the coordinate space, which manifests the Wilson coefficients with Sudakov-type double logarithms and the higher-dimensional operators with additional gluons. This result yields the B-meson distribution amplitude for t less than ∼ 1 GeV^-1, in terms of Λ=m_B - m_b and the two additional HQET parameters as matrix elements of dimension-5 operators. The impact of these novel HQET parameters on the integral relevant to exclusive B decays, λ_B, is also discussed.

Citations

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Cited by

• Analyses of decay constants and light-cone distribution amplitudes fors-wave heavy meson
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes