Renormalisation of quark bilinears with Nf=2 Wilson fermions and tree-level improved gauge action

TL;DR

This paper computes renormalisation constants for quark bilinear operators using Nf=2 twisted mass Wilson fermions and a tree-level Symanzik improved gauge action, employing a novel method and RI-MOM scheme.

Contribution

It introduces a new method for calculating scale-independent renormalisation constants using twisted mass and Osterwalder-Seiler fermions.

Findings

Renormalisation constants are successfully computed with the new method.

Results include both scale-independent and scale-dependent renormalisation constants.

The approach guarantees automatic O(a) improvement.

Abstract

We present results for the renormalisation constants of bilinear quark operators, using the Nf=2 twisted mass Wilson action at maximal twist (which guarantees automatic O(a) improvement) and the tree-level Symanzik improved gauge action. The scale-independent renormalisation constants are computed with a new method, which makes use of both standard twisted mass and Osterwalder-Seiler fermions. Moreover, the results from an RI-MOM calculation are presented for both scale independent and scale dependent renormalisation constants.