Non-perturbative renormalization of tensor currents: strategy and results for [Formula omitted] and [Formula omitted] QCD

• Published in: The European physical journal. C, Particles and fields Vol. 78; no. 7; pp. 1 - 27
• Main Authors: Pena, C, Preti, D
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 13-07-2018; Springer Nature B.V
• Subjects: Computer simulation; Quantum chromodynamics
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-018-6022-7

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 [Formula omitted] and [Formula omitted] 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.