Eur. Phys. J. C (2018) 78: 575
https://doi.org/10.1140/epjc/s10052-018-6022-7

Regular Article - Theoretical Physics

Non-perturbative renormalization of tensor currents: strategy and results for and QCD

ALPHA Collaboration

¹ Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
² Instituto de Física Teórica UAM-CSIC, Universidad Autónoma de Madrid, c/ Nicolás Cabrera 13-15, Cantoblanco, 28049, Madrid, Spain
³ INFN Sezione di Torino, Via Pietro Giuria 1, 10125, Turin, Italy

^* e-mail: david.preti@to.infn.it

Received: 19 March 2018
Accepted: 23 June 2018
Published online: 13 July 2018

Abstract

Tensor currents are the only quark bilinear operators lacking a non-perturbative determination of their renormalisation group (RG) running between hadronic and electroweak scales. We develop the setup to carry out the computation in lattice QCD via standard recursive finite-size scaling techniques, and provide results for the RG running of tensor currents in and QCD in the continuum for various Schrödinger Functional schemes. The matching factors between bare and renormalisation group invariant currents are also determined for a range of values of the lattice spacing relevant for large-volume simulations, thus enabling a fully non-perturbative renormalization of physical amplitudes mediated by tensor currents.