1. Quark masses using twisted mass fermion gauge ensembles
- Author
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Guido Martinelli, F. Manigrasso, Giancarlo Rossi, F. Pittler, Petros Dimopoulos, Georg Bergner, Simone Bacchio, Constantia Alexandrou, Karl Jansen, Jacob Finkenrath, E. Fiorenza, Francesco Sanfilippo, Cecilia Tarantino, Carsten Urbach, Martha Constantinou, Kyriakos Hadjiyiannakou, Silvano Simula, Vittorio Lubicz, Bartosz Kostrzewa, A. Todaro, E. Papadiofantous, Giannis Koutsou, M. Mangin-Brinet, Urs Wenger, M. Garofalo, M. Di Carlo, Roberto Frezzotti, Laboratoire de Physique Subatomique et de Cosmologie (LPSC), Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Extended Twisted Mass, 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., and Wenger, U.
- Subjects
Quark ,Particle physics ,Meson ,mass ratio [quark] ,530 Physics ,High Energy Physics::Lattice ,Nuclear Theory ,FOS: Physical sciences ,GeV ,mass [pi] ,meson ,7. Clean energy ,01 natural sciences ,pi: mass ,Charm quark ,Pion ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Lattice ,0103 physical sciences ,mass [quark] ,ddc:530 ,Continuum (set theory) ,continuum limit ,fermion: mass: twist ,vertex function ,010306 general physics ,Nuclear Experiment ,lattice ,Physics ,Settore FIS/02 ,010308 nuclear & particles physics ,[PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat] ,mass: renormalization ,High Energy Physics - Lattice (hep-lat) ,High Energy Physics::Phenomenology ,renormalization [mass] ,lattice field theory ,Order (ring theory) ,Lattice QCD ,Baryon ,quark: mass ,baryon ,High Energy Physics - Phenomenology ,mass: twist [fermion] ,quark: mass ratio ,High Energy Physics::Experiment ,charm ,statistical - Abstract
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 non-perturbatively using the RI'-MOM method converted into the $\overline{\rm MS}$ 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 $\overline{\rm MS}(2\,{\rm GeV})$ scheme and $m_c = 1036(17)(^{+15}_{-8})$~MeV in the $\overline{\rm MS}(3\,{\rm GeV})$ 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 $m_c / m_s = 11.48(12)(^{+25}_{-19})$., 37 pages, 23 figures, 24 tables. One reference added
- Published
- 2021