2010/05/11 by Aneesh V. Manohar · 16 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectral line #Theoretical physics #hep-ph
paper · pdf · doi:10.1103/physrevd.82.014009
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(1) (American Physical Society) · 8 pages
arxiv created 2010/05/11 · openalex publication_date 2010/07/20 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Reparametrization invariance relations are determined for the inclusive decay spectra of heavy hadrons. They connect the leading-order result to the \ensuremathλ1 term, and the \ensuremathλ2 and \ensuremathρ2 terms, and imply that the \ensuremathλ1 and \ensuremathρ2 terms in the total rate occur in the combinations 1+\ensuremathλ1/(2mQ2) and \ensuremathλ2\ensuremath-\ensuremathρ2/mQ. The relations are satisfied by the known results for the hadronic decay tensors for B\ensuremath→Xc,u\ensuremathℓ\ensuremathν, B\ensuremath→Xs\ensuremathγ and B\ensuremath→Xs\ensuremathℓ+\ensuremathℓ^\ensuremath- decays. An interesting field-theory result, the connection between currents in full and effective theories and the change in currents under field redefinitions, is discussed, and is used to determine the effective theory operator whose hadron matrix element is unity to all order in 1/mQ. The hadron masses are given to order \ensuremathΛQCD3/mQ2 including radiative corrections, and provide an example illustrating the relation between renormalization and reparametrization invariance and \ensuremathμ-independence of 1/mQ3 corrections to physical quantities.