Reading the Lattice QCD Form Factors of the $\Lambda_b \rightarrow \Lambda_c$ Transition Using a C-Code

TL;DR

This paper introduces a C-code for efficiently reading lattice QCD form factors related to the $ ext{Lambda}_b ightarrow ext{Lambda}_c$ transition, significantly improving speed over previous Mathematica implementations.

Contribution

A novel C-code implementation for reading lattice QCD form factors that is substantially faster than existing Mathematica-based methods.

Findings

C-code is 64.2 times faster than Mathematica code per data point.

Enables more efficient analysis of form factors in lattice QCD.

Facilitates studies of $ ext{Lambda}_b ightarrow ext{Lambda}_c$ transitions for new physics.

Abstract

The $\Lambda_b \rightarrow \Lambda_c \ell^- \bar{\nu}_\ell$ process has been discussed in the literatures as a probe for new physics. This process receives contributions in new physics models from scalar, vector, and tensor hadronic currents. The form factors of these currents can be obtained from the quark model or the lattice QCD. In this work, we present a c-code to read the scalar, vector, and tensor lattice QCD form factors. A Mathematica code was used in Ref. \cite{Datta:2017aue} to read the form factors. Our c-code is much faster than the Mathematica code where the ratio of the wall clock time for the c-code compared to the Mathematica code is 1:64.2 per data point.