Precise Determination of {$f_{P_{s}}/f_P$}} {\bf and Measurement of the ``Perturbative'' Pole Mass from {$f_P$}}

Details Precise Determination of {$f_{P_{s}}/f_P$}} {\bf and Measurement of the ``Perturbative'' Pole Mass from {$f_P$}} Precise Determination of {$f_{P_{s}}/f_P$}} {\bf and Measurement of the ``Perturbative'' Pole Mass from {$f_P$}}

1994-03-09

arxiv.org/abs/hep-ph/9403254v1

Phys.Lett.B322:247-252,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

{{\bf \bf 9 pages, CERN-TH 7094/93 (published in Phys. Lett. B322 (1994) 247 )

Scientific paper

10.1016/0370-2693(94)91115-0

We present a compact analytic two-loop expression of the $SU(3)_f$ breaking effects on the ratio of the pseudoscalar decay constants $R_P \equiv f_{P_S}/f_P$ ($P \equiv D,B $), from which, we extract the precise values : $R_D = 1.15 \pm .04$, $R_B = 1.16 \pm .05 $, where the errors are mainly due to the uncalculated $\alpha_s^2$-corrections. We also scan carefully the $M_c$ (resp. $M_b$) mass dependence of $f_D$ (resp. $f_B$) in view of precise measurements of the ``perturbative'' c and b pole quark masses from the future data of the decay constants $f_P$.

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