Non-perturbative tests of continuum HQET through small-volume two-flavour QCD

A bstract We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero, whereas the range of available heavy quark masses m h c...

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Bibliographic Details
Published in:The journal of high energy physics 2016-01, Vol.2016 (1), p.1-44, Article 93
Main Authors: Fritzsch, Patrick, Garron, Nicolas, Heitger, Jochen
Format: Article
Language:English
Subjects:
Asymptotic properties
Classical and Quantum Gravitation
Constants
Construction
Continuums
Elementary Particles
Extrapolation
Lattices
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero, whereas the range of available heavy quark masses m h covers a region extending from around the charm to beyond the bottom quark mass scale. This allows entering the asymptotic mass-scaling regime as 1/ m h → 0 and performing well-controlled extrapolations to the infinite-mass limit. Our results are then compared to predictions obtained in the static limit of continuum Heavy Quark Effective Theory (HQET), in order to verify non-perturbatively that HQET is an effective theory of QCD. While in general we observe a nice agreement at the per cent level, we find it to be less convincing for the small-volume pseudoscalar decay constant when perturbative matching is involved.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2016)093