Repository logo
 

Power corrections from decoupling of the charm quark

Published version
Peer-reviewed

Change log

Authors

Knechtli, F 
Korzec, T 
Leder, B 

Abstract

Decoupling of heavy quarks at low energies can be described by means of an effective theory as shown by S. Weinberg in Ref. [1]. We study the decoupling of the charm quark by lattice simulations. We simulate a model, QCD with two degenerate charm quarks. In this case the leading order term in the effective theory is a pure gauge theory. The higher order terms are proportional to inverse powers of the charm quark mass M starting at M−2. Ratios of hadronic scales are equal to their value in the pure gauge theory up to power corrections. We show, by precise measurements of ratios of scales defined from the Wilson flow, that these corrections are very small and that they can be described by a term proportional to M−2 down to masses in the region of the charm quark mass.

Description

Keywords

Lattice QCD, Charm quark, Decoupling, Effective theory

Journal Title

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Conference Name

Journal ISSN

0370-2693
1873-2445

Volume Title

774

Publisher

Elsevier BV
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)