Semileptonic form factors D to pi, K and B to pi, K from a fine lattice

Autor: Al-Haydari, A., Khan, A. Ali, Braun, V. M., Collins, S., Göckeler, M., Lacagnina, G. N., Panero, M., Schäfer, A., Schierholz, G.
Rok vydání: 2009
Předmět:
Zdroj: Eur.Phys.J.A43:107-120,2010
Druh dokumentu: Working Paper
DOI: 10.1140/epja/i2009-10893-3
Popis: We extract the form factors relevant for semileptonic decays of D and B mesons from a relativistic computation on a fine lattice in the quenched approximation. The lattice spacing is a=0.04 fm (corresponding to a^{-1}=4.97 GeV), which allows us to run very close to the physical B meson mass, and to reduce the systematic errors associated with the extrapolation in terms of a heavy quark expansion. For decays of D and D_s mesons, our results for the physical form factors at q^2=0 are as follows: f_+^{D to pi}(0)= 0.74(6)(4), f_+^{D to K}(0)= 0.78(5)(4) and f_+^{D_s to K}(0)=0.68(4)(3). Similarly, for B and B_s we find: f_+^{B to pi}(0)=0.27(7)(5), f_+^{B to K}(0)=0.32(6)(6) and f_+^{B_s to K}(0)=0.23(5)(4). We compare our results with other quenched and unquenched lattice calculations, as well as with light-cone sum rule predictions, finding good agreement.
Comment: 1+18 pages, 19 eps figures; v2: 1+22 pages, discussion extended, references added, version accepted for publication in EPJ A
Databáze: arXiv