Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point

Abstract

We extend the Rome-Southampton regularization independent momentum-subtraction renormalization scheme(RI/MOM) for bilinear operators to one with a nonexceptional, symmetric subtraction point. Two-point Green's functions with the insertion of quark bilinear operators are computed with scalar, pseudoscalar, vector, axial-vector and tensor operators at one-loop order in perturbative QCD. We call this new scheme RI/SMOM, where the S stands for "symmetric". Conversion factors are derived, which connect the RI/SMOM scheme and the MSbar scheme and can be used to convert results obtained in lattice calculations into the MSbar scheme. Such a symmetric subtraction point involves nonexceptional momenta implying a lattice calculation with substantially suppressed contamination from infrared effects. Further, we find that the size of the one-loop corrections for these infrared improved kinematics is substantially decreased in the case of the pseudoscalar and scalar operator, suggesting a much better behaved perturbative series. Therefore it should allow us to reduce the error in the determination of the quark mass appreciably.

15 pages, 4 figures; final version accepted for publication in the journal

References in corpus (4)

• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Strong-Coupling Constant at Three Loops in Momentum Subtraction Scheme
• Quark mass renormalization with non-exceptional momenta

Cited by in corpus (128)

• FLAG Review 2019
• Domain wall QCD with physical quark masses
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• 50 Years of Quantum Chromodynamics
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Isovector Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Light-meson leptonic decay rates in lattice QCD+QED
• Domain Wall QCD with Near-Physical Pions
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Precision Nucleon Charges and Form Factors Using 2+1-flavor Lattice QCD
• Up, down, and strange nucleon axial form factors from lattice QCD
• Lattice determination of the $K\to (\pi \pi {)}_{I=2}$ Decay Amplitude $A_2$
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• Neutral Kaon Mixing Beyond the Standard Model with $n_f=2+1$ Chiral Fermions Part 1: Bare Matrix Elements and Physical Results
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Dimension-5 CP-odd operators: QCD mixing and renormalization
• Heavy physics contributions to neutrinoless double beta decay from QCD
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• Challenges in Semileptonic B Decays
• The neutral kaon mixing parameter B_K from unquenched mixed-action lattice QCD
• Long distance contribution to the $K_L-K_S$ mass difference
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions
• The decay constants ${\mathbf{f}}_{\mathbf{D}}$ and ${\mathbf{f}}_{{\mathbf{D}}_{\mathbf{s}}}$ in the continuum limit of ${\mathbf{N}}_{\mathbf{f}}=2+1$ domain wall lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Exploratory Lattice QCD Study of the Rare Kaon Decay $K^{+}\to {\pi }^{+}\nu \bar{\nu }$
• Step Scaling with off-shell renormalisation
• Isovector charges of the nucleon from 2+1-flavor QCD with clover fermions
• $K$ to $\pi \pi$ Decay amplitudes from Lattice QCD
• Proton decay matrix elements on the lattice at physical pion mass
• Kaon BSM B-parameters using improved staggered fermions from $N_f=2+1$ unquenched QCD
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• BSM Kaon Mixing at the Physical Point
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Prospects for a lattice computation of rare kaon decay amplitudes II $K\to \pi \nu \bar{\nu }$ decays
• Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
• Two loop QCD vertices at the symmetric point
• Prospects for a lattice computation of rare kaon decay amplitudes: $K\to \pi {\ell }^{+}{\ell }^{-}$ decays
• Lattice Renormalization of Quantum Simulations
• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• Lattice QCD spectroscopy for hadronic CP violation
• An accurate calculation of the nucleon axial charge with lattice QCD
• Octet baryon isovector charges from $N_f=2+1$ lattice QCD
• Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Non-perturbative renormalization of overlap quark bilinears on 2+1-flavor domain wall fermion configurations
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• Exploratory lattice QCD study of the rare kaon decay $K^{+}\to {\pi }^{+}\nu \bar{\nu }$
• Three loop renormalization of 3-quark operators in QCD
• Bilinear quark operators in the RI/SMOM scheme at three loops
• Opening the Rome-Southampton window for operator mixing matrices
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Renormalising vector currents in lattice QCD using momentum-subtraction schemes
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Nonperturbative comparison of clover and HISQ quarks in lattice QCD and the properties of the phi meson
• Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions part II: Non Perturbative Renormalisation of the $\Delta F=2$ four-quark operators
• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons
• Computing Tools for Effective Field Theories
• Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant
• Non-perturbative renormalization scheme for the CP-odd three-gluon operator
• Non-perturbative Renormalization for Improved Staggered Bilinears
• Nucleon isovector couplings in Nf = 2 + 1 lattice QCD at the physical point
• $O(4)$-symmetric position-space renormalization of lattice operators
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Non-perturbative renormalization of bilinear operators with dynamical overlap fermions
• A massive momentum-subtraction scheme
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Quark masses: N3LO bridge from $RI/SMOM$ to $\overline{\mathrm{MS}}$ scheme
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• Neutrinoless Double Beta Decay from Lattice QCD: The Short-Distance ${\pi }^{-}\to {\pi }^{+}{e}^{-}{e}^{-}$ Amplitude
• Isotensor Hadronic Parity Violation
• Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• Two-loop renormalization and mixing of gluon and quark energy-momentum tensor operators
• Nucleon isovector scalar charge from overlap fermions
• Baryon Number Violation: From Nuclear Matrix Elements to BSM Physics
• Non-perturbative renormalization of tensor currents: strategy and results for $N_f=0$ and $N_f=2$ QCD
• A note on Rome-Southampton Renormalization with Smeared Gauge Fields
• Bilinear quark operator renormalization at generalized symmetric point
• Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha {\alpha }_s({\mu }_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes
• A formulation of domain-wall fermions in the Schrödinger functional
• RI-(S)MOM to $\overline{\mathrm{MS}}$ conversion for $B_K$ at two-loop order
• Long distance contributions to neutral $D$-meson mixing from lattice QCD
• Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
• Non-perturbative renormalization in lattice QCD
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• Quark mass renormalization with non-exceptional momenta
• On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
• Symmetric point flavour singlet axial vector current renormalization at two loops
• Chiral symmetry and taste symmetry from the eigenvalue spectrum of staggered Dirac operators
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Nucleon structure from 2+1-flavor domain-wall QCD
• Phenomenology from the Lattice
• Off-shell quark bilinear operator Green's functions at two loops
• Nonperturbative renormalization of the Delta-S=1 weak Hamiltonian including the G_1 operator
• Non-perturbative Renormalization of Bilinear Operators with Improved Staggered Quarks
• Towards a non-perturbative calculation of Weak Hamiltonian Wilson coefficients
• Beyond the Standard Model Kaon Mixing with Physical Masses
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays
• The charm-quark contribution to epsilon_K and Delta M_K
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
• Non-perturbative renormalization in QCD+QED and its application to weak decays
• Flavor Physics and Lattice QCD
• Quark-photon vertex from lattice QCD in Landau gauge
• Quark mass determinations with the RI-SMOM scheme and HISQ action
• Vector current renormalisation in momentum subtraction schemes using the HISQ action
• Probing novel TeV physics through precision calculations of scalar and tensor charges of the nucleon
• Non-perturbative renormalisation with interpolating momentum schemes