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

Step scaling in X-space: running of the quark mass

26 Jul 2016, 14:20
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 Standard Model Parameters and Renormalization

Speaker

Dr Krzysztof Cichy (Goethe-University Frankfurt am Main)

Description

We perform a benchmark study of the step scaling procedure for the ratios of renormalization constants extracted from position space correlation functions. We work in the quenched approximation and consider the pseudoscalar, scalar, vector and axial vector bilinears. The pseudoscalar/scalar cases allow us to obtain the non-perturbative running of the quark mass over a wide range of energy scales - from around 15 GeV to nearly 1 GeV - which agrees well with the 4-loop prediction of continuum perturbation theory. We find that step scaling is feasible in X-space and we discuss its advantages and potential problems.

Primary author

Dr Krzysztof Cichy (Goethe-University Frankfurt am Main)

Co-authors

Dr Karl Jansen (NIC, DESY Zeuthen) Dr Piotr Korcyl (Regensburg University)

Presentation Materials

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