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
Building B2a Room 2077 (Highfield Campus, University of Southampton)

Building B2a Room 2077

Highfield Campus, University of Southampton

Talk Theoretical Developments Theoretical Developments


Dr Mattia Dalla Brida (DESY - Zeuthen)


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)


Prof. Martin Luescher (CERN)

Presentation Materials

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