Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions

Abstract

We present results on the renormalization functions of the quark field and fermion bilinears with up to one covariant derivative. For the fermion part of the action we employ the twisted mass formulation with $N_f=2$ and $N_f=4$ degenerate dynamical quarks, while in the gluon sector we use the Iwasaki improved action. The simulations for $N_f=4$ have been performed for pion masses in the range of 390MeV - 760MeV and at three values of the lattice spacing, $a$, corresponding to $\beta =1.90,1.95,2.10$. The $N_f=2$ action includes a clover term with $c_{\mathrm{sw}}=1.57551$ at $\beta =2.10$, and three ensembles at different values of $m_{\pi }$. The evaluation of the renormalization functions is carried out in the RI${}^{\prime }$ scheme using a momentum source. The non-perturbartive evaluation is complemented with a perturbative computation, which is carried out at one-loop level and to all orders in the lattice spacing, $a$. For each renormalization function computed non-perturbatively we subtract the corresponding lattice artifacts to all orders in $a$, so that a large part of the cut-off effects is eliminated. The renormalization functions are converted to the $\overline{\mathrm{MS}}$ scheme at a reference energy scale of $\mu =2$ GeV after taking the chiral limit.

24 pages, 24 figures, 5 tables

References in corpus (8)

• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• Step Scaling with off-shell renormalisation
• Renormalization constants for 2-twist operators in twisted mass QCD
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Axial charges of N(1535) and N(1650) in lattice QCD with two flavors of dynamical quarks
• K -> pi matrix elements of the chromagnetic operator on the lattice
• The chromomagnetic operator on the lattice

Cited by in corpus (51)

• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Perturbative Renormalization of quasi-PDFs
• Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• Transversity parton distribution functions from lattice QCD
• The nucleon spin and momentum decomposition using lattice QCD simulations
• Updated Lattice Results for Parton Distributions
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Proton and neutron electromagnetic form factors from lattice QCD
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass
• FLAG Review 2024
• Nucleon axial and pseudoscalar form factors from lattice QCD at the physical point
• Nucleon isovector charges and twist-2 matrix elements with $N_f=2+1$ dynamical Wilson quarks
• Lattice QCD Study of Transverse-Momentum Dependent Soft Function
• Quark masses using twisted mass fermion gauge ensembles
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Parton distribution functions of ${\Delta }^{+}$ on the lattice
• Lattice continuum-limit study of nucleon quasi-PDFs
• Transversity GPDs of the proton from lattice QCD
• Proton decay matrix elements on the lattice at physical pion mass
• New insights on proton structure from lattice QCD: the twist-3 parton distribution function $g_T(x)$
• Isospin-0 $\pi \pi$ s-wave scattering length from twisted mass lattice QCD
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• Asymptotic behavior of cutoff effects in Yang-Mills theory and in Wilson's lattice QCD
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
• The pion and kaon $⟨x^3⟩$ from lattice QCD and PDF reconstruction from Mellin moments
• Nucleon strange electromagnetic form factors
• First moments of the nucleon transverse quark spin densities using lattice QCD
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
• The scalar, vector and tensor form factors for the pion and kaon from lattice QCD
• Strange nucleon electromagnetic form factors from lattice QCD
• Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
• Investigation of pion-nucleon contributions to nucleon matrix elements
• Improved renormalization scheme for nonlocal operators
• Recent progress in hadron structure from Lattice QCD
• Nonperturbative renormalization of the supercurrent in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory
• Off-shell quark bilinear operator Green's functions at two loops
• Light-cone PDFs from Lattice QCD
• Quasi-PDFs from Twisted mass fermions at the physical point
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
• Quark flavor decomposition of the nucleon axial form factors
• Proton and neutron electromagnetic form factors from lattice QCD in the continuum limit
• Pion structure from twisted mass lattice QCD down to the physical pion mass