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Power corrections from decoupling of the charm quark
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 e...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2017
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/j.physletb.2017.10.025 http://cds.cern.ch/record/2298187 |
_version_ | 1780956967929380864 |
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author | Knechtli, Francesco Korzec, Tomasz Leder, Björn Moir, Graham |
author_facet | Knechtli, Francesco Korzec, Tomasz Leder, Björn Moir, Graham |
author_sort | Knechtli, Francesco |
collection | CERN |
description | 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. |
id | cern-2298187 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2017 |
record_format | invenio |
spelling | cern-22981872022-06-30T10:35:13Zdoi:10.1016/j.physletb.2017.10.025doi:10.1016/j.physletb.2017.10.025http://cds.cern.ch/record/2298187engKnechtli, FrancescoKorzec, TomaszLeder, BjörnMoir, GrahamPower corrections from decoupling of the charm quarkhep-latParticle Physics - LatticeDecoupling 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.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.WUB-17-02HU-EP-17-15DAMTP-2017-22arXiv:1706.04982oai:cds.cern.ch:22981872017-06-15 |
spellingShingle | hep-lat Particle Physics - Lattice Knechtli, Francesco Korzec, Tomasz Leder, Björn Moir, Graham Power corrections from decoupling of the charm quark |
title | Power corrections from decoupling of the charm quark |
title_full | Power corrections from decoupling of the charm quark |
title_fullStr | Power corrections from decoupling of the charm quark |
title_full_unstemmed | Power corrections from decoupling of the charm quark |
title_short | Power corrections from decoupling of the charm quark |
title_sort | power corrections from decoupling of the charm quark |
topic | hep-lat Particle Physics - Lattice |
url | https://dx.doi.org/10.1016/j.physletb.2017.10.025 https://dx.doi.org/10.1016/j.physletb.2017.10.025 http://cds.cern.ch/record/2298187 |
work_keys_str_mv | AT knechtlifrancesco powercorrectionsfromdecouplingofthecharmquark AT korzectomasz powercorrectionsfromdecouplingofthecharmquark AT lederbjorn powercorrectionsfromdecouplingofthecharmquark AT moirgraham powercorrectionsfromdecouplingofthecharmquark |