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  • 1.
    Constantinou, Martha
    et al.
    Department of Physics, University of Cyprus.
    Dimopoulos, Petros
    Dipartimento di Fisica, Sapienza, Università di Roma.
    Frezzotti, Roberto
    Dipartimento di Fisica, Università di Roma.
    Herdoisa, Gregorio
    NIC, DESY.
    Jensen, Karl
    NIC, DESY.
    Lubicz, Vittorio
    Dipartimento di Fisica, Università Roma.
    Panagopoulos, Haralambos G.
    Department of Physics, University of Cyprus.
    Rossi, Giancarlo
    Dipartimento di Fisica, Università di Roma.
    Simula, Silvano
    INFN, Sezione di Roma Tre.
    Stylianou, Fotos
    Department of Physics, University of Cyprus.
    Vladikas, Anastassios
    INFN, Sezione di Tor Vergata.
    Non-perturbative renormalization of quark bilinear operators with N f = 2 (tmQCD) Wilson fermions and the tree-level improved gauge action2010In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 8, article id 068Article in journal (Refereed)
    Abstract [en]

    We present results for the renormalization constants of bilinear quark operators obtained by using the tree-level Symanzik improved gauge action and the N f = 2 twisted mass fermion action at maximal twist, which guarantees automatic O(a)-improvement. Our results are also relevant for the corresponding standard (un-twisted) Wilson fermionic action since the two actions only differ, in the massless limit, by a chiral rotation of the quark fields. The scale-independent renormalization constants Z V, Z A and the ratio Z P /Z S have been computed using the RI-MOMapproach, as well as other alternative methods. For Z A and Z P /Z S, the latter are based on both standard twisted mass and Osterwalder-Seiler fermions, while for Z V a Ward Identity has been used. The quark field renormalization constant Z q and the scale dependent renormalization constants Z S, Z P and Z T are determined in the RI-MOM scheme. Leading discretization effects of O(g 2a 2), evaluated in one-loop perturbation theory, are explicitly subtracted from the RI-MOM estimates

  • 2.
    Constantinou, Martha
    et al.
    Department of Physics, University of Cyprus.
    Lubicz, Vittorio
    Dipartimento di Fisica, Università Roma.
    Panagopoulos, Haralambos G.
    Department of Physics, University of Cyprus.
    Stylianou, Fotos
    Department of Physics, University of Cyprus.
    (a 2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons2009In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 10, article id 064Article in journal (Refereed)
    Abstract [en]

    We calculate corrections to the fermion propagator and to the Green's functions of all fermion bilinear operators of the form , to one-loop in perturbation theory. We employ the Wilson/clover action for fermions and the Symanzik improved action for gluons. The novel aspect of our calculations is that they are carried out to second order in the lattice spacing, (a 2). Consequently, they have addressed a number of new issues, most notably the appearance of loop integrands with strong IR divergences (convergent only beyond 6 dimensions). Such integrands are not present in (a 1) improvement calculations; there, IR divergent terms are seen to have the same structure as in the (a 0) case, by virtue of parity under integration, and they can thus be handled by well-known techniques. We explain how to correctly extract the full (a 2) dependence; in fact, our method is generalizable to any order in a. The (a 2) corrections to the quark propagator and Green's functions computed in this paper are useful to improve the nonperturbative RI-MOM determination of renormalization constants for quark bilinear operators. Our results depend on a large number of parameters: coupling constant, number of colors, lattice spacing, external momentum, clover parameter, Symanzik coefficients, gauge parameter. To make these results most easily accessible to the reader, we have included them in the distribution package of this paper, as an ASCII file named: Oa2results.m; the file is best perused as Mathematica input

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