25,852 research outputs found
Power-free values of binary forms and the global determinant method
We give an improved estimate for the density of -free values of integral
binary forms with no fixed -th power divisor. Further, we give the
corresponding improvement to a theorem of Stewart and Top on the number of
power-free values in an interval that may be assumed by a binary form. The
approach we use involves a generalization of the global determinant method of
Salberger.Comment: 45 pages; final accepted versio
Rare decay in the two-Higgs-doublet model of type-III
In this paper, we calculated the new physics contribution to theoretically
very clean rare decay in the general
two-Higgs-doublet model (model III). Within the considered parameter space, we
found that (a) the new physics contribution can provide one to two orders of
enhancement to the branching ratio \calb(B\to X_s \nu \bar{\nu}) and can
saturate the experimental bound on \calb(B \to X_s \nu \bar{\nu}) in some
regions of the parameter space; (b) besides the CLEO data of , the ALEPH upper limit on \calb (B \to X_s \nu \bar{\nu}) also lead
to further constraint on the size of the Yukawa coupling :
for and \mhp=200 GeV.Comment: 10 pages, 3 figures in eps and 1 in ps, Latex fil
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