Systematic parametrization of the leading B-meson light-cone distribution amplitude

Journal of High Energy Physics

Regular Article - Theoretical Physics

Philip Lüghausen¹  Danny van Dyk²  Thorsten Feldmann³ 

[1] Excellence Cluster ORIGINS, Technische Universität München, Boltzmannstraße 2, D-85748, Garching, Germany;Physik Department T31, Technische Universität München, James-Franck-Straße 1, D-85748, Garching, Germany;Physik Department T31, Technische Universität München, James-Franck-Straße 1, D-85748, Garching, Germany;Theoretische Physik 1, Universität Siegen, Walter-Flex-Straße 3, D-57068, Siegen, Germany;

关键词: Bottom Quarks;    Effective Field Theories of QCD;   

DOI  :  10.1007/JHEP10(2022)162

 received in 2022-04-06, accepted in 2022-08-23,  发布年份 2022

来源: Springer

【 摘 要 】

We propose a parametrization of the leading B-meson light-cone distribution amplitude (LCDA) in heavy-quark effective theory (HQET). In position space, it uses a conformal transformation that yields a systematic Taylor expansion and an integral bound, which enables control of the truncation error. Our parametrization further produces compact analytical expressions for a variety of derived quantities. At a given reference scale, our momentum-space parametrization corresponds to an expansion in associated Laguerre polynomials, which turn into confluent hypergeometric functions 1F1 under renormalization-group evolution at one-loop accuracy. Our approach thus allows a straightforward and transparent implementation of a variety of phenomenological constraints, regardless of their origin. Moreover, we can include theoretical information on the Taylor coefficients by using the local operator product expansion. We showcase the versatility of the parametrization in a series of phenomenological pseudo-fits.

【 授权许可】

Unknown   
© The Author(s) 2022