$\ell N$ inclusive scattering cross sections on the lattice

TL;DR

This paper computes the differential cross section for charged current lepton-proton scattering on the lattice, comparing results with experimental data to validate a new lattice approach for inclusive scattering processes.

Contribution

It introduces a novel lattice-based method for calculating inclusive scattering cross sections and applies it to charged current processes, providing a first comparison with experimental results.

Findings

Lattice results agree with MINER$ u$A data within uncertainties

Demonstrates feasibility of lattice calculations for inclusive scattering

Provides a new tool for studying neutrino-nucleon interactions

Abstract

Utilizing the approach recently proposed for the $\ell N$ inclusive scattering cross section on the lattice, we compute the differential scattering cross section for the charged current process $\ell p \rightarrow \nu n $ for various kinematical channels. The simulation is carried out on the 2+1 flavor $16^3 \times 32 $ ensemble with Iwasaki and Domain Wall Fermion action. The lattice results are compared with MINER$\nu$A result for the equivalent process.