RG-running of the tensor currents for N_f =3 QCD in a χSF setup

2022/11/16 by Isabel Campos Plasencia, Plasencia, Isabel Campos, Mattia Dalla Brida +11
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2211.08829

openalex publication_date 2022/11/16 · openalex created_date 2023/02/11 · openalex updated_date 2026/07/28

Abstract

We present the preliminary results of the non-perturbative running of the flavour non-singlet tensor operator in the high-energy range 2~\rmGeV\lesssim μ\lesssim 128~\rmGeV in N_f=3 massless QCD, comparing four different definitions of the renormalisation constant. We use the configuration ensembles of arXiv:1802.05243 and arXiv:1607.06423, subject to Schrödinger functional (SF) boundary conditions, and valence quarks with chirally rotated Schrödinger functional (χSF) boundary conditions. Provided that boundary counterterms have been appropriately tuned, this results in O(a) improvement of the tensor operator, without the need of a dimension-4 Symanzik counterterm (proportional to c_T).

Related

• Nonperturbative running of the tensor operator for N_\rmf=3 QCD from the chirally rotated Schrödinger Functional
• Renormalization & improvement of the tensor operator for N_f=3 QCD in a χSF setup
• Non-perturbative renormalisation and improvement of non-singlet tensor currents in N_f=3 QCD
• Quark mass RG-running for N_f =3 QCD in a χSF setup
• Nonperturbative running of the quark mass for N_f=3 QCD from the chirally rotated Schrödinger Functional