Heavy-to-light currents at NNLO in SCET and semi-inclusive B¯→Xsℓ+ℓ− decay

2010/07/21 by Guido Bell, G. Bell, M. Beneke +4 · 40 citations
Physics and Astronomy · #Asymmetry #High-Energy Particle Collisions Research #Invariant (physics) #Invariant mass #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Radiative transfer #hep-ex #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2010.09.022

published in Nuclear Physics B 843(1), 143-176 (Elsevier BV) · 38 pages, 5 figures. The renormalized form factors and matching coefficients are attached in electronic form to the source of the present submission

arxiv created 2010/07/21 · openalex publication_date 2010/10/08 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We perform the two-loop matching calculation for heavy-to-light currents from QCD onto soft-collinear effective theory for the complete set of Dirac structures. The newly obtained matching coefficients enter several phenomenological applications, of which we discuss heavy-to-light form factor ratios and exclusive radiative decays, as well as the semi-inclusive decay anti-B ---> X(s) l+ l-. For this decay, we observe a significant shift of the forward-backward asymmetry zero and find q₀² = (3.34 +0.22 -0.25) GeV² for an invariant mass cut m_X^cut=2.0 GeV.

Citations

• Next-to-next-to-leading order corrections toB¯→Xuℓν¯in the shape-function region
• Higher order QCD corrections in exclusive charmless B decays
• Logarithmically enhanced corrections to the decay rate and forward–backward asymmetry in B¯→Xsℓ+ℓ−
• An effective field theory for collinear and soft gluons: Heavy to light decays
• Shape-function effects and split matching inB→Xsℓ+ℓ−
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• NNLO vertex corrections in charmless hadronic B decays: Imaginary part
• QCD Factorization forB→ππDecays: Strong Phases andCPViolation in the Heavy Quark Limit
• Extracting short distance information fromb→sℓ+ℓ−effectively
• QCD factorization for exclusive non-leptonic B-meson decays: general arguments and the case of heavy–light final states
• Harmonic Polylogarithms

Cited by

• Introduction to Soft-Collinear Effective Theory