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• W2014671453 abstract "We compute the two-loop renormalization functions, in the $R{I}^{ensuremath{'}}$ scheme, of local bilinear quark operators $overline{ensuremath{psi}}ensuremath{Gamma}ensuremath{psi}$, where $ensuremath{Gamma}$ denotes the scalar and pseudoscalar Dirac matrices, in the lattice formulation of QCD. We consider both the flavor nonsinglet and singlet operators; the latter, in the scalar case, leads directly to the two-loop fermion mass renormalization, ${Z}_{m}$. As a prerequisite for the above, we also compute the quark field renormalization, ${Z}_{ensuremath{psi}}$, up to two loops. We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in ${c}_{mathrm{SW}}$, in terms of both the renormalized and bare coupling constants, in the renormalized Feynman gauge. We also confirm the one-loop renormalization functions, for generic gauge. Finally, we present our results in the $overline{MS}$ scheme, for easier comparison with calculations in the continuum. The corresponding results, for fermions in an arbitrary representation, are included in the Appendix." @default.
• W2014671453 created "2016-06-24" @default.
• W2014671453 creator A5037793312 @default.
• W2014671453 creator A5082661823 @default.
• W2014671453 date "2007-11-30" @default.
• W2014671453 modified "2023-09-25" @default.
• W2014671453 title "Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice" @default.
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• W2014671453 doi "https://doi.org/10.1103/physrevd.76.094514" @default.
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