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Long-Distance Contributions to the Λb→Λce-νe Isgur-Wise Function

1994/01/17 by Martin J. Savage · 2 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Baryon #Biology #Chiral perturbation theory #Coupling (piping) #Coupling constant #Function (biology) #Geometry #High-Energy Particle Collisions Research #Hyperon #Inverse #Lambda #Lambda baryon #Mathematical functions and polynomials #Mathematical physics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Recoil #Sigma #Stochastic processes and financial applications #Zero (linguistics) #hep-ph

paper · pdf · doi:10.1016/0370-2693(94)90044-2

published in arXiv (Cornell University) 325(3-4), 488-494 (Cornell University) · 13 pages, 1 uuencoded figure included, uses harvmac and epsf, CMU-HEP 94-04

arxiv created 1994/01/17 · openalex publication_date 1994/01/17 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The six independent formfactors describing the weak decay \semi are determined in terms of one universal function when both the b and c quarks are treated as heavy. The relations between these formfactors are modified by terms suppressed by inverse powers of the charm quark mass. We compute the formally leading long-distance corrections to these relations in chiral perturbation theory both at and away from zero recoil. They arise from the spin-symmetry breaking Σc^* - Σc mass splitting and are nonanalytic in the pion mass. The correction at the zero-recoil point is found to be - (3.4 ± 2.0) × 10-4 g32 for a quark model estimate of mΣc^*-mΣc and where g3∼ 1 is an axial coupling constant. Further, the formfactors that vanish in the heavy quark limit do not receive such corrections.

Citations