1,751 research outputs found
Precise nondivergent analytic formulas for the radiative corrections to the beta energy spectrum in hyperon semileptonic decays over the entire Dalitz plot
Very accurate analytical expressions for the radiative corrections of
unpolarized hyperons semileptonic decays of charged and neutral baryons have
been obtained in the recent past. Some of these formulas contain logarithmic
singularities at the edges of the Dalitz plot for the three- and four-body
decays. These singularities are analyzed and integrated analytically to obtain
new divergentless formulas for the energy spectrum of the produced beta
particle. The new equations contain terms of the order alpha times the momentum
transfer, are applicable to any beta decay process and are suitable for a
model-independent experimental analysis.Comment: 22 pages, 4 figure
Precise bounds on the Higgs boson mass
We study the renormalization group evolution of the Higgs quartic coupling
and the Higgs mass in the Standard Model. The one loop
equation for is non linear and it is of the Riccati type which we
numerically and analytically solve in the energy range where
is the mass of the top quark and GeV. We find that
depending on the value of the solution for
may have singularities or zeros and become negative in the
former energy range so the ultra violet cut off of the standard model should be
below the energy where the zero or singularity of occurs. We find
that for the Standard Model is valid in
the whole range . We consider two cases of the Higgs mass
relation to the parameters of the standard model: (a) the effective potential
method and (b) the tree level mass relations. The limits for
correspond to the following Higgs mass relation GeV. We also plot the dependence of the ultra violet cut
off on the value of the Higgs mass. We analyze the evolution of the vacuum
expectation value of the Higgs field and show that it depends on the value of
the Higgs mass. The pattern of the energy behavior of the VEV is different for
the cases (a) and (b). The behavior of , and
indicates the existence of a phase transition in the standard model. For the
effective potential this phase transition occurs at the mass range
GeV and for the tree level mass relations at GeV.Comment: 14 pages, 7 figures. Expanded the discussion of the Higgs mass
relation between the parameters of the Standard Model. Included the method of
the Higgs effective potentia
Mode solutions for a Klein-Gordon field in anti-de Sitter spacetime with dynamical boundary conditions of Wentzell type
We study a real, massive Klein-Gordon field in the Poincar\'e fundamental
domain of the -dimensional anti-de Sitter (AdS) spacetime, subject to a
particular choice of dynamical boundary conditions of generalized Wentzell
type, whereby the boundary data solves a non-homogeneous, boundary Klein-Gordon
equation, with the source term fixed by the normal derivative of the scalar
field at the boundary. This naturally defines a field in the conformal boundary
of the Poincar\'e fundamental domain of AdS. We completely solve the equations
for the bulk and boundary fields and investigate the existence of bound state
solutions, motivated by the analogous problem with Robin boundary conditions,
which are recovered as a limiting case. Finally, we argue that both Robin and
generalized Wentzell boundary conditions are distinguished in the sense that
they are invariant under the action of the isometry group of the AdS conformal
boundary, a condition which ensures in addition that the total flux of energy
across the boundary vanishes.Comment: 12 pages, 1 figure. In V3: refs. added, introduction and conclusions
expande
Assessment of practitioners' interactions with academically driven curriculum
Thesis (M.B.A.)--Massachusetts Institute of Technology, Sloan School of Management, 2013.Cataloged from PDF version of thesis.Includes bibliographical references (p. 39-41).A growing interest in innovation-based entrepreneurship has surfaced in much of world, producing a large body of related research and capturing the attention of those aiming to direct and improve the economic impact of "practitioners'" home regions. With growing research and limited examples of newly created and successful entrepreneurial communities formed, a dear gap has emerged between what the literature describes and suggests for the creation of entrepreneurial communities, and what practitioners are able to achieve. This thesis assesses how the MIT Regional Entrepreneurship Acceleration Program (REAP), a program formed as a way to address these shortfalls, has achieved lasting and meaningful impact for practitioners who have participated in the program.by Beto Juárez III.M.B.A
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