Nucleon strange electromagnetic form factors using $N_f=2+1+1$ twisted-mass fermions at the physical point

TL;DR

This paper calculates the nucleon's strange electromagnetic form factors using lattice QCD with physical quark masses and multiple lattice spacings, providing continuum limit results for strange radii and magnetic moment.

Contribution

It presents the first continuum limit results for nucleon strange form factors using $N_f=2+1+1$ twisted mass fermions at the physical point.

Findings

Strange electric and magnetic radii are determined.

Strange magnetic moment is computed in the continuum limit.

High statistics and noise mitigation techniques improve the accuracy.

Abstract

We present the strange electromagnetic form factors of the nucleon using lattice QCD with $N_f=2+1+1$ twisted mass clover-improved fermions and quark masses tuned to their physical values. Using four ensembles with lattice spacings of $a=0.080$ fm, $0.068$ fm, $0.057$ fm and $0.049$ fm, and similar physical volume, we obtain the continuum limit directly at the physical pion mass. The disconnected strange contributions are computed using high statistics two-point functions combined with stochastic noise mitigation techniques, such as spin-color dilution and hierarchical probing in the estimation of the quark loop. From the momentum dependence of the form factors, we provide the strange electric and magnetic radii, as well as the strange magnetic moment in the continuum limit.