4,658 research outputs found
Semileptonic B to Scalar meson Decays in the Standard Model with Fourth Generation
We study the effects of the fourth generation of quarks on the total
branching ratio and the lepton polarizations in ( = , ) decay. Taking fourth
generation quark mass of about to GeV with the
mixing angle in the range
and using the phase to be %, it is found
that the branching ratio and lepton polarizations are quite sensitive to these
fourth generation parameters. In future the experimental study of this decay
will give us an opportunity to study new physics effects, precisely, to search
for the fourth generation of quarks in an indirect
way.Comment: 15 pages, 7 figures; Modification in the text and figures, version is
closed to the one accepted for publication in Phys. Rev.
Equivalent Binary Quadratic Form and the Extended Modular Group
Extended modular group , where
R:z\rightarrow -\bar{z}, \sim
T:z\rightarrow\frac{-1}{z},\simU:z\rightarrow\frac{-1}{z +1} , has been used
to study some properties of the binary quadratic forms whose base points lie in
the point set fundamental region (See \cite{Tekcan1, Flath}).
In this paper we look at how base points have been used in the study of
equivalent binary quadratic forms, and we prove that two positive definite
forms are equivalent if and only if the base point of one form is mapped onto
the base point of the other form under the action of the extended modular group
and any positive definite integral form can be transformed into the reduced
form of the same discriminant under the action of the extended modular group
and extend these results for the subset \QQ^*(\sqrt{-n}) of the imaginary
quadratic field \QQ(\sqrt{-m}).Comment: Paper contains two figures and twelve page
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