Non-perturbative renormalization of O(a) improved tensor currents

TL;DR

This paper reports progress in non-perturbative O(a) improvement and renormalization of tensor currents in three-flavor lattice QCD, employing Ward identities and finite-size scaling within the Schrödinger functional framework.

Contribution

It introduces a method to determine the O(a) improvement factor and renormalization group running of tensor currents non-perturbatively in lattice QCD.

Findings

Determined the O(a) improvement factor via Ward identities.

Calculated the renormalization group running using finite-size scaling.

Addressed matching factors for lattice spacings < 0.1 fm.

Abstract

We present our progress in the non-perturbative O(a) improvement and renormalization of tensor currents in three-flavor lattice QCD with Wilson-clover fermions and tree-level Symanzik improved gauge action. The mass-independent O(a) improvement factor of tensor currents is determined via a Ward identity approach, and their renormalization group running is calculated via recursive finite-size scaling techniques, both implemented within the Schr\"odinger functional framework. We also address the matching factor between bare and renormalization group invariant currents for a range of lattice spacings < 0.1 fm, relevant for phenomenological large-volume lattice QCD applications.