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On the form factors of semileptonic baryon decays in Heavy Quark Effective Theory

2012/02/21 by F. Jugeau, Frederic Jugeau, Jugeau, Frederic
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1202.4630

Invited talk at the 5th High-Energy Physics International Conference HEP-MAD 11, Antananarivo, Madagascar, August 25-31 2011

arxiv created 2012/02/21 · openalex publication_date 2012/02/21 · arxiv updated 2012/02/22 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

Abstract

We study consequences of the non-forward amplitude for the semileptonic baryon decay Lambdab into Lambdac which will be measured in detail at LHCb. We obtain a sum rule for the subleading elastic Isgur-Wise (IW) function A(w) that originates from the kinetic part of the O(1/mQ) effective Lagrangian perturbation. In the sum rule appear only the intermediate states JP=1/2+, the same that contribute to the O(1/mQ)2 correction to the axial-vector form factor G1(w) involved in the differential decay rate at zero recoil w=1. This allows us to obtain a lower bound on the correction -delta^(G1)_(1/mQ2) in terms of A(w) and the shape of the leading elastic IW function xi(w). Another theoretical implication is that A'(1) must vanish in the limit where the slope of the xi(w) saturates its lower bound. A strong correlation between the leading IW function and the subleading one A(w) is thus established in the case of the baryons.

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