# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

## Non-perturbative running of quark masses in three-flavour QCD

26 Jul 2016, 14:40
20m
Building 67 Room 1007 (Highfield Campus, University of Southampton)

### Building 67 Room 1007

#### Highfield Campus, University of Southampton

Highfield Campus, Southampton SO17 1BJ, UK
Talk Standard Model Parameters and Renormalization

### Speaker

Mr David Preti (Instituto de Física Teórica CSIC/UAM)

### Description

We present our results for the computation of the non-perturbative running of renormalized quark masses in $N_f=3$ QCD, between the electroweak and hadronic scales, using standard finite-size scaling techniques. The computation is carried out to very high precision, using massless $\mathcal{O}$(a) improved Wilson quarks. Following the strategy adopted by the ALPHA Collaboration for the running coupling, different schemes are used above and below a scale $\mu_{\rm swi} \sim m_b$, which differ by using either the Schrödinger Functional or Gradient Flow renormalized coupling. We discuss our results for the running in both regions, and the procedure to match the two schemes.

### Primary authors

Dr Alberto Ramos (CERN) Prof. Anastassios Vladikas (INFN, sezione Roma2) Prof. Carlos Pena (Instituto de Fisica Teórica CSIC/UAM) Mr David Preti (Instituto de Física Teórica CSIC/UAM) Dr Isabel Campos (Instituto de Fisica Teórica CSIC/UAM) Dr Patrick Fritzsch (Instituto de Fisica Teórica CSIC/UAM)

 Slides