8,578 research outputs found
A Theoretical Reappraisal of Branching Ratios and CP Asymmetries in the Decays and Determination of the CKM Parameters
We present a theoretical reappraisal of the branching ratios and CP
asymmetries for the decays , with , taking
into account current theoretical uncertainties in the description of the
inclusive decay amplitudes from the long-distance contributions, an improved
treatment of the renormalization scale dependence, and other parametric
dependencies. Concentrating on the partial branching ratios , integrated over the invariant dilepton mass region , we calculate theoretical precision on the
charge-conjugate averaged partial branching ratios , CP asymmetries in partial decay rates
, and the ratio of the
branching ratios .
For the central values of the CKM parameters, we find , , , , and . The dependence of and on the CKM parameters is worked out and the resulting constraints on
the unitarity triangle from an eventual measurement of are
illustrated.Comment: 18 pages, 7 figures (require epsf.sty
Perturbative QCD- and Power-Corrected Hadron Spectra and Spectral Moments in the Decay
We compute the leading order (in ) perturbative QCD and power
( corrections to the hadronic invariant mass and hadron energy
spectra in the decay in standard model. This is done
both by using the heavy quark expansion technique (HQET) and a perturbative-QCD
improved Fermi motion (FM) model which takes into account -meson
wave-function effects. The corrections in the hadron energy () spectrum
are found to be small over a good part of this spectrum in both the methods.
However, the expansion in in HQET fails near the lower kinematic
end-point and at the threshold. The hadronic invariant mass ()
spectrum is calculable only over a limited range in
the heavy quark expansion, where . We also
present results for the first two hadronic moments ,
, working out their sensitivity on the HQET and FM model parameters. For
equivalent values of these parameters, the moments in these methods are
remarkably close to each other. Using the FM model, we study the effect of the
experimental cuts, used recently by the CLEO collaboration in searching for the
decay , on the hadron spectra and hadronic invariant
mass moments. The constraints following from assumed values of on
the HQET parameters and are worked out. Data from
the forthcoming B facilities could be used to measure the short-distance
contribution in and determine the HQET parameters
and . This could be combined with complementary
constrains in to determine them precisely.Comment: 44 pages, 15 figure (require epsf.sty);, March 1998; Several typos
and composition errors corrected; four references added; no change in
formulae or result
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