English

Chirally improving Wilson fermions II. Four-quark operators

High Energy Physics - Lattice 2010-02-03 v2

Abstract

In this paper we discuss how the peculiar properties of twisted lattice QCD at maximal twist can be employed to set up a consistent computational scheme in which, despite the explicit breaking of chiral symmetry induced by the presence of the Wilson and mass terms in the action, it is possible to completely bypass the problem of wrong chirality and parity mixings in the computation of the CP-conserving matrix elements of the ΔS=1,2\Delta S=1,2 effective weak Hamiltonian and at the same time have a positive determinant for non-degenerate quarks as well as full O(aa) improvement in on-shell quantities with no need of improving the lattice action and the operators.

Keywords

Cite

@article{arxiv.hep-lat/0407002,
  title  = {Chirally improving Wilson fermions II. Four-quark operators},
  author = {R. Frezzotti and G. C. Rossi},
  journal= {arXiv preprint arXiv:hep-lat/0407002},
  year   = {2010}
}

Comments

Replaced with published version in JHEP style: 43 pages, no figures. Added few references and discussion on "critical mass and O(a) improvement" as well as on "tests and numerical issues" in the Conclusions (sect. 6)