Quark masses using twisted-mass fermion gauge ensembles

Alexandrou, C.; Bacchio, S.; Bergner, G.; Constantinou, M.; Di Carlo, M.; Dimopoulos, P.; Finkenrath, J.; Fiorenza, E.; Frezzotti, R.; Garofalo, M.; Hadjiyiannakou, K.; Kostrzewa, B.; Koutsou, G.; Jansen, K.; Lubicz, V.; Mangin-Brinet, M.; Manigrasso, F.; Martinelli, G.; Papadiofantous, E.; Pittler, F.; Rossi, G. C.; Sanfilippo, F.; Simula, S.; Tarantino, C.; Todaro, A.; Urbach, C.; Wenger, U.

doi:10.1103/PhysRevD.104.074515

Title: Quark masses using twisted-mass fermion gauge ensembles

Journal Article · Tue Oct 19 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.104.074515· OSTI ID:1826423

Alexandrou, C.; Bacchio, S.; Bergner, G.; Constantinou, M.; Di Carlo, M.; Dimopoulos, P.; Finkenrath, J.; Fiorenza, E.; Frezzotti, R.; Garofalo, M.; Hadjiyiannakou, K.; Kostrzewa, B.; Koutsou, G.; Jansen, K.; Lubicz, V.; Mangin-Brinet, M.; Manigrasso, F.; Martinelli, G.; Papadiofantous, E.; Pittler, F. more »

We present a calculation of the up, down, strange, and charm quark masses performed within the lattice QCD framework. We use the twisted-mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks, as well as the strange and charm quarks. In the analysis, we use gauge ensembles simulated at three values of the lattice spacing and with light quarks that correspond to pion masses in the range from 350 MeV to the physical value, while the strange and charm quark masses are tuned approximately to their physical values. We use several quantities to set the scale in order to check for finite lattice spacing effects, and in the continuum limit, we get compatible results. The quark mass renormalization is carried out nonperturbatively using the (modified) Regularization Independent Momentum Subtraction (RI'–MOM ) method converted into the $$\overline{MS}$$ scheme. For the determination of the quark masses, we use physical observables from both the meson and the baryon sectors, obtaining m_ud = 3.636 (66) ($$^{+60}_{–57}$$) MeV and m_s= 98.7(2.4) ($$^{+4.0}_{–3.2}$$) MeV in the $$\overline{MS}$$ (2 GeV) scheme and m_c = 1036(17)($$^{+15}_{–8}$$) MeV in the $$\overline{MS}$$ (3 GeV) scheme, where the first errors are statistical and the second ones are combinations of systematic errors. For the quark mass ratios, we get m_s/m_ud = 27.17(32)($$^{+56}_{–38}$$) and m_c/m_s = 11.48(12)($$^{+25}_{–19}$$) .

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Research Organization:: Temple Univ., Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: Extended Twisted Mass Collaboration

Grant/Contract Number:: SC0020405

OSTI ID:: 1826423

Alternate ID(s):: OSTI ID: 1979912

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 7; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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