Nonperturbative renormalization of quark bilinear operators andBKusing domain wall fermions

Low energy constants ofSU(2)partially quenched chiral perturbation theory fromNf=2+1Boyle1, Christ2, Garrón3 et al. 2016Phys. Rev. DSelf Cite713751View full textAdd to dashboardCite

“…More generally, one expects that the i j (e,a) in Eqn. (44) are not all equal -breaking the degeneracy between the N (e,a) − 1 smallest eigenvalues of (ρ PQ ) i j (e,a) -and that some of the off-diagonal entries in the full correlation matrix, representing other kinds of correlations, are non-zero; these effects are O( ) and do not change the argument presented here.…”

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_

“…4, by rescaling our data for T as 16) where the values of the relative cutoff effects δ k (a/L) are taken from Table 3. Continuum extrapolations are performed both taking T and the one-loop improved T as input; the two resulting continuum limits are provided in Tables 14 and 15, respectively.…”

“…Non-perturbative determinations of renormalization constants in RI/MOM schemes, for the typical few-GeV values of the renormalization scale accessible to the latter, have been obtained for various numbers of dynamical flavours and lattice actions [14][15][16][17][18][19][20]. The purpose of this work is to set up the strategy for the application of finitesize scaling techniques based on the Schrödinger Functional (SF) [21], in order to obtain a fully non-perturbative determination of both current renormalization constants at hadronic energy scales, and the running of renormalized currents to the electroweak scale.…”

Note on Rome-Southampton renormalization with smeared gauge fields

“…This functional form is motivated by the 1 p 6 behaviour observed at low momenta in nonexceptional vertex functions [10] together with the leading finite lattice spacing error which for the chirally improved fermion formulation we use are O(a 2 ). There is also the intrinsic running of the operator itself, which we account for with a polynomial in 1 (ap) .…”

“…Steady improvements to the original method: momentum sources [9], nonexceptional momenta [10] and twisted boundary conditions [11], have led to a precise method for renormalizing in lattice calculations (see [13] for example). The remaining systematic error is dominated by a perturbative matching between the intermediate scheme, such as the RI/MOM, and the MS scheme, which is done at a scale accessible by current lattice calculations.…”