$O(a{\alpha }_s)$ matching coefficients for the $\Delta B$=2 operators in the lattice static theory

Abstract

We present the perturbative matching coefficient to $O(a{\alpha }_s)$ which relates the $\Delta B$=2 operator in the continuum to that of the lattice static theory, which is important in the accurate extraction of the continuum value of the $B_B$ from lattice simulations. The coefficients are obtained by the one-loop calculations in both of the continuum and lattice theory. We find that two new dimension seven operators appear at the $O(a{\alpha }_s)$ with the O(1) coefficients. We also discuss the possible cancellation of $O(a{\alpha }_s)$ correction in the ratio $B_B=<\bar{B}|\Op_L|B>/ ((8/3)(f_{B}M_{B})^2)$ qualitatively.

14 pages, no figures, uses REVTeX; added references, corrected typos

References in corpus (7)

• B and D Meson Decay Constants in Lattice QCD
• Lattice Determination of Heavy-Light Decay Constants
• One-loop matching of lattice and continuum heavy-light axial vector currents using NRQCD
• A Lattice Study of Spectator Effects in Inclusive Decays of B-Mesons
• B Meson Decay Constants From NRQCD
• 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 matching of lattice and continuum heavy-light currents with NRQCD heavy quarks

Cited by in corpus (9)

• Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
• B meson leptonic decay constant with quenched lattice NRQCD
• Renormalization of the ΔB=2 four-quark operators in lattice NRQCD
• Heavy Quarks on the Lattice
• $B^0-{\bar{B}}^0$ mixing in quenched lattice QCD
• Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
• A lattice NRQCD calculation of the $B^0-{\bar{B}}^0$ mixing parameter B_B
• Width difference in the $B_s$-${\bar{B}}_s$ system with lattice NRQCD
• $O({\alpha }_{s}a)$ matching coefficients for axial vector current and $\Delta B$$=$2 operator