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

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

## The gradient flow coupling from numerical stochastic perturbation theory

27 Jul 2016, 09:40
20m
Building B2a Room 2077 (Highfield Campus, University of Southampton)

### Building B2a Room 2077

#### Highfield Campus, University of Southampton

Talk Theoretical Developments

### Speaker

Dr Mattia Dalla Brida (DESY - Zeuthen)

### Description

The perturbative calculation of gradient flow observables is technically challenging. Current results are in fact limited to a few quantities and, in general, to low perturbative orders. Numerical stochastic perturbation theory is a potentially powerful tool that may be applied in this context. Precise results using these techniques, however, require control over both statistical and systematic uncertainties. In this talk we discuss how the recent algorithmic developments of these methods substantially ameliorate the cost for such precise computations. As an illustration we then present results for the two-loop matching of the gradient flow coupling in finite volume with Schroedinger functional boundary conditions and the $\overline{\rm MS}$ coupling.

### Primary author

Dr Mattia Dalla Brida (DESY - Zeuthen)

### Co-author

Prof. Martin Luescher (CERN)

 Slides