Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant

Abstract

Lattice QCD calculations of form factors for rare Standard Model processes such as $B\to K{\ell }^{+}{\ell }^{-}$ use tensor currents that require renormalisation. These renormalisation factors, $Z_T$, have typically been calculated within perturbation theory and the estimated uncertainties from missing higher order terms are significant. Here we study tensor current renormalisation using lattice implementations of momentum-subtraction schemes. Such schemes are potentially more accurate but have systematic errors from nonperturbative artefacts. To determine and remove these condensate contributions we calculate the ground-state charmonium tensor decay constant, $f_{J/\psi }^T$, which is also of interest in beyond the Standard Model studies. We obtain $f_{J/\psi }^T(\overline{\text{MS}},2\mathrm{GeV})=0.3927(27)$ GeV, with ratio to the vector decay constant of 0.9569(52), significantly below 1. We also give $Z_T$ factors, converted to the $\overline{\mathrm{MS}}$ scheme, corrected for condensate contamination. This contamination reaches 1.5\% at a renormalisation scale of 2 GeV (in the preferred RI-SMOM scheme) and so must be removed for accurate results.

arXiv comment12 pages, version accepted for publication in PRD

References in corpus (38)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard Model and Beyond
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High-precision scale setting in lattice QCD
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Constrained Curve Fitting
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Scaling studies of QCD with the dynamical HISQ action
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• Three loop anomalous dimension of non-singlet quark currents in the RI' scheme
• Lattice QCD and QCD Sum Rule determination of the decay constants of eta_c, J/psi and hc states
• Rare decay B -> K ll form factors from lattice QCD
• Three loop MSbar tensor current anomalous dimension in QCD
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• Quark Mass Renormalization in the $\MSbar$ and RI schemes up to the NNLO order
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Radiative and Electroweak Penguin Decays of B Mesons
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Step Scaling with off-shell renormalisation
• The study of leading twist light cone wave functions of J/Psi meson
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• Lepton flavor violating quarkonium decays
• Weak decays of unstable $b$-mesons
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Wilson Expansion of QCD Propagators at Three Loops: Operators of Dimension Two and Three
• Bilinear quark operators in the RI/SMOM scheme at three loops
• Renormalising vector currents in lattice QCD using momentum-subtraction schemes
• RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
• Non-perturbative Renormalization for Improved Staggered Bilinears

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• Standard Model predictions for $B\to K{\ell }^{+}{\ell }^{-}$, $B\to K{\ell }_1^{-}{\ell }_2^{+}$ and $B\to K\nu \bar{\nu }$ using form factors from $N_f=2+1+1$ lattice QCD
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