We study the renormalization group (RG) running of the quark mass, for Nf=3 QCD with Wilson fermions in a mixed action setup, with standard Schrödinger functional (SF) boundary conditions for sea quarks and chirally rotated Schrödinger functional (χSF) boundary conditions for valence quarks. This necessitates the tuning of the boundary factor zf(g02) of the χSF valence action, in order to ensure that QCD symmetries are fully recovered in the continuum. The properties of this novel setup are monitored through the ratios ZS/ZP and ςS/ςP of the renormalization parameters and step scaling functions of the scalar and pseudoscalar densities. Where comparison is possible, our ZS/ZP results are found to agree with previous determinations, based on a mass ratio method [G. M. de Divitiis (ALPHA Collaboration), Eur. Phys. J. C 79, 797 (2019)EPCFFB1434-604410.1140/epjc/s10052-019-7287-1] and Ward identities [J. Heitger (ALPHA Collaboration), Eur. Phys. J. C 80, 765 (2020)EPCFFB1434-604410.1140/epjc/s10052-020-8266-2; J. Heitger, Eur. Phys. J. C 81, 606 (2021)EPCFFB1434-604410.1140/epjc/s10052-021-09387-z], with Schrödinger functional boundary conditions. The behavior of ςS/ςP confirms the theoretical expectations of χSF QCD, related to the restoration of the theory's symmetries in the continuum limit. From the step-scaling function of the pseudoscalar density we obtain the quark mass RG-running function from hadronic to perturbative energy scales. This is fully compatible with the earlier result obtained in a similar setup for Wilson quarks with Schrödinger functional boundary conditions [I. Campos, Eur. Phys. J. C 78, 387 (2018)EPCFFB1434-604410.1140/epjc/s10052-018-5870-5], and provides a strong universality test for the two lattice setups.

Plasencia, I., Dalla Brida, M., De Divitiis, G., Lytle, A., Papinutto, M., Pirelli, L., et al. (2022). Nonperturbative running of the quark mass for Nf=3 QCD from the chirally rotated Schrödinger functional. PHYSICAL REVIEW D, 105(5) [10.1103/PhysRevD.105.054506].

Nonperturbative running of the quark mass for Nf=3 QCD from the chirally rotated Schrödinger functional

Dalla Brida M.;
2022

Abstract

We study the renormalization group (RG) running of the quark mass, for Nf=3 QCD with Wilson fermions in a mixed action setup, with standard Schrödinger functional (SF) boundary conditions for sea quarks and chirally rotated Schrödinger functional (χSF) boundary conditions for valence quarks. This necessitates the tuning of the boundary factor zf(g02) of the χSF valence action, in order to ensure that QCD symmetries are fully recovered in the continuum. The properties of this novel setup are monitored through the ratios ZS/ZP and ςS/ςP of the renormalization parameters and step scaling functions of the scalar and pseudoscalar densities. Where comparison is possible, our ZS/ZP results are found to agree with previous determinations, based on a mass ratio method [G. M. de Divitiis (ALPHA Collaboration), Eur. Phys. J. C 79, 797 (2019)EPCFFB1434-604410.1140/epjc/s10052-019-7287-1] and Ward identities [J. Heitger (ALPHA Collaboration), Eur. Phys. J. C 80, 765 (2020)EPCFFB1434-604410.1140/epjc/s10052-020-8266-2; J. Heitger, Eur. Phys. J. C 81, 606 (2021)EPCFFB1434-604410.1140/epjc/s10052-021-09387-z], with Schrödinger functional boundary conditions. The behavior of ςS/ςP confirms the theoretical expectations of χSF QCD, related to the restoration of the theory's symmetries in the continuum limit. From the step-scaling function of the pseudoscalar density we obtain the quark mass RG-running function from hadronic to perturbative energy scales. This is fully compatible with the earlier result obtained in a similar setup for Wilson quarks with Schrödinger functional boundary conditions [I. Campos, Eur. Phys. J. C 78, 387 (2018)EPCFFB1434-604410.1140/epjc/s10052-018-5870-5], and provides a strong universality test for the two lattice setups.
Articolo in rivista - Articolo scientifico
Lattice QCD, Non-perturbative renormalization, quark masses
English
Plasencia, I., Dalla Brida, M., De Divitiis, G., Lytle, A., Papinutto, M., Pirelli, L., et al. (2022). Nonperturbative running of the quark mass for Nf=3 QCD from the chirally rotated Schrödinger functional. PHYSICAL REVIEW D, 105(5) [10.1103/PhysRevD.105.054506].
Plasencia, I; Dalla Brida, M; De Divitiis, G; Lytle, A; Papinutto, M; Pirelli, L; Vladikas, A
File in questo prodotto:
File Dimensione Formato  
Plasencia-2022-Phys Rev D-VoR.pdf

accesso aperto

Descrizione: Article
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 957.04 kB
Formato Adobe PDF
957.04 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/397151
Citazioni
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
Social impact