The Isgur-Wise Function from the Lattice
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Booth, Stephen P.; Bowler, Ken C.; Hazel, Nick; Henty, David S.; Hoeber, Henning; Kenway, Richard D.; Richards, D.G.; Shanahan, Hugh P.; Simone, J.N.; Simpson, Alan D.; Lellouch, Laurent; Nieves Pamplona, Juan Miguel; Sachrajda, Christopher T.; Wittig, Hartmut
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Aquest document és un/a article, creat/da en: 1994
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We calculate the Isgur-Wise function by measuring the elastic scattering amplitude of a D meson in the quenched approximation on a 243×48 lattice at β=6.2, using an O(a)-improved fermion action. Fitting the resulting chirally extrapolated Isgur-Wise function to Stech¿s relativistic-oscillator parametrization, we obtain a slope parameter ρ2=1.2+7-3. We then use this result, in conjunction with heavy-quark symmetry, to extract Vcb from the measured B¯→D*lν¯ differential decay width. We find ‖Vcb‖ √τB/1.48 ps =0.038+2+8-2-3, where the first error is due to experimental uncertainties, while the second is due to the uncertainty in our lattice determination of ρ2. |
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