Factorization and shape-function effects in inclusive B-meson decays
By S. Bosch, B. Lange, M. Neubert, G. Paz. 2004
191 citations recorded by the source corpus.
Abstract Using methods of effective field theory, factorized expressions for arbitrary B ¯ → X u l − ν ¯ decay distributions in the shape-function region of large hadronic energy and moderate hadronic invariant mass are derived. Large logarithms are resummed at next-to-leading order in renormalization-group improved perturbation theory. The operator product expansion is employed to relate moments of the renormalized shape function with HQET parameters such as m b , Λ ¯ and λ 1 defined in a new physical subtraction scheme. An analytic expression for the asymptotic behavior of the shape function is obtained, which reveals that it is not positive definite. Explicit expressions are presented for the charged-lepton energy spectrum, the hadronic invariant mass distribution, and the spectrum in the hadronic light-cone momentum P + = E H − | P → H | . A new method for a precision measurement of | V u b | is proposed, which combines good theoretical control with high efficiency and a powerful discrimination against charm background.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/db8b34d882b622b517eda41a7541ce63b077562a
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In Nuclear and High Energy Physics
Citations in the corpus
- Introduction to Soft-Collinear Effective Theory (2014, background): “for detailed studies, not only of the leading-power factorization theorem, but also of the power corrections which affect the rate [134–139].”
- Jet shapes and jet algorithms in SCET (2010, methodology): “15), we have divided the cone and kT jet functions into the contribution J q incl(τ0) to the inclusive jet function [75, 76], given by”
- Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, methodology): “For sufficiently inclusive, additive observables, they can be included using a shape function [119, 120, 121, 122, 123], Fnp, which is convolved with the perturbative distribution dσhad dmJ = ∫ d dσpert(m 2 J − pTJ ) dmJ Fnp( ) .”
- Flavor Physics in the Quark Sector (2009, methodology): “Different versions of LCSR employing B-meson distribution amplitudes [452] as well as the framework of SCET [453,454] have also been introduced.”