Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass

2024/07/26 by Luigi Del Debbio, Felix Erben, Del Debbio, Luigi +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2407.18700

openalex publication_date 2024/07/26 · openalex created_date 2024/09/30 · openalex updated_date 2026/07/28

Abstract

We present the first numerical implementation of the massive SMOM (mSMOM) renormalization scheme and use it to calculate the charm quark mass. Based on ensembles with three flavours of dynamical domain wall fermions with lattice spacings in the range 0.11 -- 0.08 fm, we demonstrate that the mass scale which defines the mSMOM scheme can be chosen such that the extrapolation has significantly smaller discretisation effects than the SMOM scheme. Converting our results to the MS scheme we obtain m_c(3 GeV) = 1.008(13) GeV and m_c(m_c) = 1.292(12) GeV.

Related

• Charm quark mass using a massive nonperturbative renormalisation scheme
• A massive momentum-subtraction scheme
• Quark mass determinations with the RI-SMOM scheme and HISQ action
• Dispersive theory of charmonium on the Lattice
• Renormalized quark masses using gradient flow