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

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

Blog Article

Abstract 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 demonhorns edge 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 1 F 1 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 retroflag gpi case 2 deluxe edition local operator product expansion.We showcase the versatility of the parametrization in a series of phenomenological pseudo-fits.