Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD - INSPIRE

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Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD

ALPHA

Collaboration

•

Isabel Campos
(
- Cantabria Inst. of Phys.
)

Feb 14, 2018

41 pages

Published in:

Eur.Phys.J.C 78 (2018) 5, 387

Published: May 18, 2018

e-Print:

1802.05243 [hep-lat]

DOI:

10.1140/epjc/s10052-018-5870-5

Report number:

CERN-TH-2018-029,
IFT-UAM/CSIC-18-011,
FTUAM-18-4,
IFT-UAM-CSIC-18-011

Experiments:

LATTICE-ALPHA

View in:

reference search62 citations

Citations per year

Abstract: (Springer)

We determine from first principles the quark mass anomalous dimension in

N_{\scriptstyle \mathrm{f}}=3

QCD between the electroweak and hadronic scales. This allows for a fully non-perturbative connection of the perturbative and non-perturbative regimes of the Standard Model in the hadronic sector. The computation is carried out to high accuracy, employing massless

\text{ O }(a)

-improved Wilson quarks and finite-size scaling techniques. We also provide the matching factors required in the renormalisation of light quark masses from lattice computations with

\text{ O }(a)

-improved Wilson fermions and a tree-level Symanzik improved gauge action. The total uncertainty due to renormalisation and running in the determination of light quark masses in the SM is thus reduced to about

1\%

.

Note:

41 pages, 10 tables, 7 figures, published version (minimal text improvements)

quark: mass
mass: renormalization
renormalization: nonperturbative
quark: mass: calculated
mass: anomalous dimension
scaling: finite size
quantum chromodynamics
lattice field theory
numerical calculations
quark: Wilson

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