HQET with chiral symmetry on the lattice

Abstract

We show that by combining the static heavy quark action with the Neuberger action for the light quark, the renormalisation of the heavy-light bilinear and four-quark operators, computed on the lattice, becomes highly simplified: all the heavy-light bilinears get renormalised by a single multiplicative constant, whereas the renormalisation of the complete set of parity even dB=2 four-quark operators involves only four independent constants. The relevant (matching) constants are computed at NLO in perturbation theory and are presented here.

arXiv comment3 pages, Lattice 2003 (improve)

References in corpus (8)

• Exactly massless quarks on the lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• B-parameters of the complete set of matrix elements of (Delta B = 2) operators from the lattice
• A Lattice Study of Spectator Effects in Inclusive Decays of B-Mesons
• 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
• Calculation of the continuum--lattice HQET matching for the complete basis of four--fermion operators: reanalysis of the $B^0$-${\bar{B}}^0$ mixing
• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions

Cited by in corpus (10)

• Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
• Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
• Lattice QCD at the end of 2003
• One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement
• A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation
• Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions
• Perturbative determination of mass dependent renormalization and improvement coefficients for the heavy-light vector and axial-vector currents with relativistic heavy and domain-wall light quarks
• Wilson-like fermions and the static B_B parameter with no chirality breaking mixings
• Lattice renormalisation of O(a) improved heavy-light operators
• Lattice measurement of $B_{B_s}$ with a chiral light quark action