Quark mass RG-running for $N_f$ =3 QCD in a $\chi SF$ setup
| Autor: | Plasencia, Isabel Campos, Brida, Mattia Dalla, de Divitiis, Giulia Maria, Lytle, Andrew, Papinutto, Mauro, Pirelli, Ludovica, Vladikas, Anastassios |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We compute the nonperturbative quark mass RG-running in the range $\Lambda_{QCD}\lessapprox\mu\lessapprox M_W$ for $N_f=3$ massless QCD with a mixed action approach: sea quarks are regularised using nonperturbatively $O(a)$-improved Wilson fermions with Schr\"odinger functional (SF) boundary conditions, employing the configurations of 1802.05243, while valence quarks are regularised using nonperturbatively $O(a)$-improved Wilson fermions with chirally rotated Schr\"odinger functional boundary conditions ($\chi$SF). Our result is compatible with its SF counterpart of ref.1802.05243, confirming the universality of $\chi$SF and SF in the continuum limit. We also establish the optimal tuning strategy for the critical hopping parameter $\kappa_c$ and the $\chi$SF boundary counterterm coefficient $z_{\rm f}$. We work in two energy regimes with two different definitions of the coupling: SF-coupling for 2 GeV $\lessapprox\mu\lessapprox M_W$ and GF-coupling for $\Lambda_{QCD} \lessapprox\mu\lessapprox 2 GeV$. Comment: 8 pages, 5 figures, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021. Updated acknowledgements |
| Databáze: | arXiv |
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