9,481 research outputs found
The evaluation of Tornheim double sums. Part 1
We provide an explicit formula for the Tornheim double series in terms of
integrals involving the Hurwitz zeta function. We also study the limit when the
parameters of the Tornheim sum become natural numbers, and show that in that
case it can be expressed in terms of definite integrals of triple products of
Bernoulli polynomials and the Bernoulli function .Comment: 23 pages, AMS-LaTex, to appear in Journal of Number Theor
The Higgs mass in the MSSM infrared fixed point scenario
In the infrared fixed point (IFP) scenario of the minimal supersymmetric
model (MSSM), the top-quark mass and other physical quantities of the
low-energy theory are insensitive to the values of the parameters of the theory
at some high energy scale. In this framework we evaluate the light CP-even
Higgs mass, , taking into account some important effects that had not been
previously considered. In particular, the supersymmetric correction to the
relation between the running and the physical top-quark masses lowers the value
of , thereby implying a lower predicted value of . Assuming a
supersymmetric threshold of TeV and GeV, we find an upper
bound of GeV; the most plausible value of lies somewhat
below the upper bound. This places the Higgs boson in the IFP scenario well
within the reach of the LEP-2 Higgs search.Comment: 18 pages, LaTeX, 5 ps figures, uses psfig.sty. Final version, some
comments and a figure added, references correcte
Physical processes leading to surface inhomogeneities: the case of rotation
In this lecture I discuss the bulk surface heterogeneity of rotating stars,
namely gravity darkening. I especially detail the derivation of the omega-model
of Espinosa Lara & Rieutord (2011), which gives the gravity darkening in
early-type stars. I also discuss the problem of deriving gravity darkening in
stars owning a convective envelope and in those that are members of a binary
system.Comment: 23 pages, 11 figure, Lecture given to the school on the cartography
of the Sun and the stars (May 2014 in Besan\c{c}on), to appear in LNP, Neiner
and Rozelot edts V2: typos correcte
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