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
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.
© The Author(s), 2018