Chirally improving Wilson fermions II. Four-quark operators

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 $\Delta S=1,2$ effective weak Hamiltonian and at the same time have a positive determinant for non-degenerate quarks as well as full O($a$) improvement in on-shell quantities with no need of improving the lattice action and the operators.

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)

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• Chiral Fermions on the Lattice
• How to go with an RG Flow
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• Partially quenched chiral perturbation theory without ${\Phi }_0$
• Chirally improving Wilson fermions
• $K\to \pi \pi$ Decays in a Finite Volume
• Non-Perturbative Renormalization of Lattice Four-Fermion Operators without Power Subtractions
• Simulations with different lattice Dirac operators for valence and sea quarks
• Scaling test for Wilson twisted mass QCD
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• The Delta I = 1/2 Rule and B_K at O(p^4) in the Chiral Expansion
• On the phase structure of twisted mass lattice QCD
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• Chiral perturbation theory at non-zero lattice spacing
• Measuring Supersymmetric Particle Masses at the LHC in Scenarios with Baryon-Number R-Parity Violating Couplings
• Phenomenology from lattice QCD
• Wilson fermions with chirally twisted mass
• Non-perturbative improvement of lattice QCD at large momenta
• A local formulation of lattice QCD without unphysical fermion zero modes
• Quenched twisted mass QCD at small quark masses and in large volume
• K0-K0bar mixing from the Schroedinger functional and twisted mass QCD
• Chiral perturbation theory for partially quenched twisted mass lattice QCD
• Lattice results relevant to the CKM matrix determination
• The QED(0+1) model and a possible dynamical solution of the strong CP problem
• $B_K$ from twisted mass QCD
• Twisted mass QCD and the $\Delta I=1/2$ rule

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