6533b7d9fe1ef96bd126b905

RESEARCH PRODUCT

A one-loop study of matching conditions for static-light flavor currents

Rainer SommerDirk Hesse

subject

PhysicsMatching (statistics)Nuclear and High Energy PhysicsCurrent (mathematics)010308 nuclear & particles physicsComponent (thermodynamics)ComputationHigh Energy Physics - Lattice (hep-lat)Mathematical analysisHigh Energy Physics::PhenomenologyFOS: Physical sciencesObservable01 natural sciencesHigh Energy Physics - Lattice0103 physical sciencesEffective field theoryddc:530Perturbation theory (quantum mechanics)010306 general physicsPseudovector

description

Heavy Quark Effective Theory (HQET) computations of semi-leptonic decays, e.g. B -> pi l nu, require the knowledge of the parameters in the effective theory for all components of the heavy-light flavor currents. So far non-perturbative matching conditions have been employed only for the time component of the axial current. Here we perform a check of matching conditions for the time component of the vector current and the spatial component of the axial vector current up to one-loop order of perturbation theory and to lowest order of the 1/m-expansion. We find that the proposed observables have small higher order terms in the 1/m-series and are thus excellent candidates for a non-perturbative matching procedure.

10.1007/jhep02(2013)115https://bib-pubdb1.desy.de/record/147174