Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions

Abstract

The renormalization of the most general dimension-six four-fermion operators without power subtractions is studied at one loop in lattice perturbation theory using overlap fermions. As expected, operators with different chirality do not mix among themselves and parity-conserving and parity-violating multiplets renormalize in the same way. The renormalization constants of unimproved and improved operators are also the same. These mixing factors are necessary to determine physical matrix elements relevant to many phenomenological applications of weak interactions. The most important are the K0-K0bar and B0-B0bar mixings in the Standard Model and beyond, the Delta I =1/2 rule and epsilon'/epsilon.

Latex, 24 pages, 1 figure included

References in corpus (12)

• Renormalization Group Invariant Matrix Elements of DS = 2 and DI = 3/2 Four-Fermion Operators without Quark Masses
• Operator improvement for Ginsparg-Wilson fermions
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• K0-K0bar Mixing with Wilson Fermions without Subtractions
• Combined analysis of the unitarity triangle and CP violation in the Standard Model
• An alternative to domain wall fermions
• One-loop analyses of lattice QCD with the overlap Dirac operator
• New Domain-Wall Fermion Actions
• Considerations on Neuberger's operator
• Higher-Twist Contribution to Pion Structure Function: 4-Fermi Operators
• On-shell and off-shell improvement for Ginsparg-Wilson fermions

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• Light Quark Masses with Overlap Fermions in Quenched QCD
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• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Kaon B Parameter in Quenched QCD
• Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V
• Exact Chiral Symmetry on the Lattice
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• On the renormalized scalar density in quenched QCD
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Phenomenology from lattice QCD
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Lattice QCD at the end of 2003
• CP breaking in lattice chiral gauge theories
• Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
• Quenched Results for Light Quark Physics with Overlap Fermions
• HQET with chiral symmetry on the lattice
• Improved Perturbation Theory for Improved Lattice Actions
• Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• Propagators on One-Loop Worldsheets for Orientifolds and Intersecting Branes
• The Lattice Free Energy with Overlap Fermions: A Two-Loop Result
• Lattice renormalisation of O(a) improved heavy-light operators
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
• B_K from quenched overlap QCD