TY - JOUR

T1 - Calculation of the [Formula presented] parameter in the static limit

AU - Christensen, Joseph

AU - Draper, Terrence

AU - McNeile, Craig

PY - 1997

Y1 - 1997

N2 - We calculate the [Formula presented] parameter, relevant for [Formula presented]-[Formula presented] mixing, from a lattice gauge theory simulation at [Formula presented]. The bottom quarks are simulated in the static theory, the light quarks with Wilson fermions. Improved smearing functions produced by a variational technique MOST are used to reduce statistical errors and minimize excited-state contamination of the ground-state signal. We obtain [Formula presented] which corresponds to [Formula presented] = [Formula presented] for the one-loop renormalization-scheme-independent parameter. The systematic errors include the uncertainty due to alternative (less favored) treatments of the perturbatively calculated mixing coefficients; this uncertainty is at least as large as residual differences between Wilson-static and clover-static results. Our result agrees with extrapolations of results from relativistic (Wilson) heavy quark simulations.

AB - We calculate the [Formula presented] parameter, relevant for [Formula presented]-[Formula presented] mixing, from a lattice gauge theory simulation at [Formula presented]. The bottom quarks are simulated in the static theory, the light quarks with Wilson fermions. Improved smearing functions produced by a variational technique MOST are used to reduce statistical errors and minimize excited-state contamination of the ground-state signal. We obtain [Formula presented] which corresponds to [Formula presented] = [Formula presented] for the one-loop renormalization-scheme-independent parameter. The systematic errors include the uncertainty due to alternative (less favored) treatments of the perturbatively calculated mixing coefficients; this uncertainty is at least as large as residual differences between Wilson-static and clover-static results. Our result agrees with extrapolations of results from relativistic (Wilson) heavy quark simulations.

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U2 - 10.1103/PhysRevD.56.6993

DO - 10.1103/PhysRevD.56.6993

M3 - Article

AN - SCOPUS:0000248675

SN - 1550-7998

VL - 56

SP - 6993

EP - 7011

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 11

ER -