246 research outputs found
Approximation by Power Series of Functions
Derivative-matching approximations are constructed as power series built from
functions. The method assumes the knowledge of special values of the Bell
polynomials of the second kind, for which we refer to the literature. The
presented ideas may have applications in numerical mathematics
Study of decays in covariant quark model
We study the rare radiative leptonic decays
() within the Standard Model, considering both the
structure-dependent amplitude and bremsstrahlung. In the framework of the
covariant confined quark model developed by us, we calculate the form factors
characterizing the transition in the full kinematical region of
the dilepton momentum squared and discuss their behavior. We provide the
analytic formula for the differential decay distribution and give predictions
for the branching fractions in both cases: with and without long-distance
contributions. Finally, we compare our results with those obtained in other
approaches.Comment: 22 pages, 8 figures, 6 tables, more references and material added, a
version to appear on PR
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