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      Non-perturbative quark mass renormalisation and running in \(N_f=3\) QCD

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          Abstract

          We determine from first principles the quark mass anomalous dimension in Nf=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 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 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%.

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          New Approach to the Renormalization Group

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            Author and article information

            Journal
            14 February 2018
            Article
            1802.05243
            5a4fce59-8e02-4c02-98cd-349b8d73278d

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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            Custom metadata
            CERN-TH-2018-029, IFT-UAM/CSIC-18-011, FTUAM-18-4
            41 pages, 10 tables, 7 figures
            hep-lat hep-ph

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