Form factors for Lambda_b -> Lambda transitions from lattice QCD

Abstract

The rare baryonic decays ${\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-}$ and ${\Lambda }_b\to \Lambda \gamma$ can complement rare $B$ meson decays in constraining models of new physics. In this work, we calculate the relevant ${\Lambda }_b\to \Lambda$ transition form factors at leading order in heavy-quark effective theory using lattice QCD. Our analysis is based on RBC/UKQCD gauge field ensembles with 2+1 flavors of domain-wall fermions, and with lattice spacings of $a\approx 0.11$ fm and $a\approx 0.08$ fm. We compute appropriate ratios of three-point and two-point correlation functions for a wide range of source-sink separations, and extrapolate to infinite separation in order to eliminate excited-state contamination. We then extrapolate the form factors to the continuum limit and to the physical values of the light-quark masses.

7 pages, 5 figures