Lattice Heavy Quark Effective Theory and the Isgur-Wise function

Abstract

We compute the Isgur-Wise function using heavy quark effective theory formulated on the lattice. The non-relativistic kinetic energy term of the heavy quark is included to the action as well as terms remaining in the infinite quark mass limit. The classical velocity of the heavy quark is renormalized on the lattice and we determine the renormalized velocity non-perturbatively using the energy-momentum dispersion relation. The slope parameter of the Isgur-Wise function at zero recoil is obtained at $\beta =6.0$ on a $24^3\times 48$ lattice for three values of $m_Q$.

14 pages of A4 format and 8 figures in one uuencoded postscript file

References in corpus (7)

• Heavy Quark Symmetry
• On the Viability of Lattice Perturbation Theory
• Measurement of the B -> D^* l nu Branching Fractions and |Vcb|
• A Lattice Calculation of the Isgur-Wise Function
• Lattice Study of Semi-Leptonic $B$ Decays: I. $\bar{B}\to D\ell \bar{\nu }$ Decays
• Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD
• Consistency and lattice renormalization of the effective theory for heavy quarks

Cited by in corpus (23)

• Large-Momentum Effective Theory
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
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• TMD Soft Function from Large-Momentum Effective Theory
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
• An estimate of the B-->K*gamma form factor
• Differential decay rate of $B\to \pi l\nu$ semileptonic decay with lattice NRQCD
• Application of heavy-quark effective theory to lattice QCD: III. Radiative corrections to heavy-heavy currents
• Lower bounds on the curvature of the Isgur-Wise function
• Semileptonic B Decays with Nf=2+1 Dynamical Quarks
• Status of Heavy Quark Physics on the Lattice
• Moving NRQCD for heavy-to-light form factors on the lattice
• Semi-leptonic decays of heavy mesons and the Isgur-Wise function in quenched lattice QCD
• Moving NRQCD for B Form Factors at High Recoil
• Heavy Quarks on the Lattice
• Semileptonic B Decays from an NRQCD/D234 Action
• Renormalization of heavy-light currents in moving NRQCD
• B Physics on the Lattice: Present and Future
• Renormalization of the Lattice HQET Isgur-Wise Function
• Lattice HQET Calculation of the Isgur-Wise Function
• B meson form factors from HQET simulations
• Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities