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Abstract
The renormalization factors of local quarkbilinear operators are computed nonperturbatively for Nf = 3 flavors of stout link nonperturbative clover (SLiNC) fermions, with emphasis on the various procedures for the chiral and continuum extrapolations. The simulations are performed at a lattice spacing a = 0.074 fm, and for five values of the pion mass in the range of 290465 MeV, allowing a safe and stable chiral extrapolation. Emphasis is given in the subtraction of the wellknown pion pole which affects the renormalization factor of the pseudoscalar current. We also compute the inverse propagator and the Green's functions of the local bilinears to one loop in perturbation theory. We investigate lattice artifacts by computing them perturbatively to second order as well as to all orders in the lattice spacing. The renormalization conditions are defined in the RI'MOM scheme, for both the perturbative and nonperturbative results. The renormalization factors, obtained at different values of the renormalization scale, are translated to the (MS) over bar scheme and are evolved perturbatively to 2 GeV. Any residual dependence on the initial renormalization scale is eliminated by an extrapolation to the continuum limit. We also study the various sources of systematic errors. Particular care is taken in correcting the nonperturbative estimates by subtracting lattice artifacts computed to oneloop perturbation theory using the same action. We test two different methods, by subtracting either the O(g(2)a(2)) contributions, or the complete (all orders in a) oneloop lattice artifacts.
Original language  English 

Article number  014502 
Number of pages  17 
Journal  Physical Review D  Particles, Fields, Gravitation and Cosmology 
Volume  91 
Issue number  1 
DOIs  
Publication status  Published  9 Jan 2015 
Keywords
 ANOMALOUS DIMENSION
 LATTICE OPERATORS
 BETAFUNCTION
 4 LOOPS
 QCD
 MASS
 REGULARIZATION
 INVARIANT
 SCHEMES
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 1 Finished

Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., CallisonBurch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/14 → 30/09/18
Project: Research