Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD

TL;DR

This paper provides the first lattice QCD calculations of the form factors for the rare decay b1_b b1 b1 b1 decays, enabling precise predictions of their branching fractions within the standard model.

Contribution

It introduces the first lattice QCD determination of b1_b b1 b1 b1 transition form factors, including extrapolation to physical quark masses and continuum limit.

Findings

Form factors calculated with 2+1 flavors of domain-wall fermions.

Results agree with recent experimental measurements.

Differential branching fractions predicted within the standard model.

Abstract

We present the first lattice QCD determination of the $\Lambda_b \to \Lambda$ transition form factors that govern the rare baryonic decays $\Lambda_b \to \Lambda l^+ l^-$ at leading order in heavy-quark effective theory. Our calculations are performed with 2+1 flavors of domain-wall fermions, at two lattice spacings and with pion masses down to 227 MeV. Three-point functions with a wide range of source-sink separations are used to extract the ground-state contributions. The form factors are extrapolated to the physical values of the light-quark masses and to the continuum limit. We use our results to calculate the differential branching fractions for $\Lambda_b \to \Lambda l^+ l^-$ with $l=e,\mu,\tau$ within the standard model. We find agreement with a recent CDF measurement of the $\Lambda_b \to \Lambda \mu^+ \mu^-$ differential branching fraction.