387 research outputs found
On the two-loop sbottom corrections to the neutral Higgs boson masses in the MSSM
We compute the O(ab*as) two-loop corrections to the neutral Higgs boson
masses in the Minimal Supersymmetric Standard Model, using the effective
potential approach. Such corrections can be important in the region of
parameter space corresponding to tan(beta)>>1 and sizeable mu. In spite of the
formal analogy with the O(at*as) corrections, there are important differences,
since the dominant effects are controlled by the sbottom-Higgs scalar
couplings. We propose a convenient renormalization scheme that avoids
unphysically large threshold effects associated with the bottom mass, and
absorbs the bulk of the O(ab*as + ab*at) corrections into the one-loop
expression. We give general explicit formulae for the O(ab*as) corrections to
the neutral Higgs boson mass matrix. We also discuss the importance of the
O(ab^2) corrections and derive a formula for their contribution to mh in a
simple limiting case.Comment: 14 pages, 4 figures. Version to appear in Nucl. Phys.
Anatomy of the Higgs mass spectrum
We analyze the implications of a Higgs discovery on possible ``new-physics''
scenarios, for up to GeV. For this purpose we critically
review lower and upper limits on the Higgs mass in the SM and in the MSSM,
respectively. Furthermore, we discuss the general features of possible
``heavy'' (m_H \gsim 2 m_Z) Higgs scenarios by means of a simple
heavy-fermion condensate model.Comment: 12 pages, LaTeX file, 3 figures, full postscript version also
available at http://hpteor.lnf.infn.it/papers.htm
NonQCD contributions to heavy quark masses and sensitivity to Higgs mass
We find that if the Higgs mass is close to its present experimental lower
limit (100 GeV),Yukawa interactions in the quark-Higgs sector can make
substantial contributions to the heavy quark MS masses.Comment: 16 pages, 1 figure. Fixed a few typos (eqs (7),(34)
On the two-loop Yukawa corrections to the MSSM Higgs boson masses at large tan(beta)
We complete the effective potential calculation of the two-loop, top/bottom
Yukawa corrections to the Higgs boson masses in the Minimal Supersymmetric
Standard Model, by computing the O(at^2 + at*ab + ab^2) contributions for
arbitrary values of the bottom Yukawa coupling. We also compute the corrections
to the minimization conditions of the effective potential at the same
perturbative order. Our results extend the existing O(at^2) calculation, and
are relevant in regions of the parameter space corresponding to tan(beta) >> 1.
We extend to the Yukawa corrections a convenient renormalization scheme,
previously proposed for the O(ab*as) corrections, that avoids unphysically
large threshold effects associated with the bottom mass and absorbs the bulk of
the corrections into the one-loop expression. For large values of tan(beta),
the new contributions can account for a variation of several GeV in the
lightest Higgs boson mass.Comment: 19 pages, 4 eps figures. Some formulae corrected in the Appendi
Unification predictions
The unification of gauge couplings suggests that there is an underlying
(supersymmetric) unification of the strong, electromagnetic and weak
interactions. The prediction of the unification scale may be the first
quantitative indication that this unification may extend to unification with
gravity. We make a precise determination of these predictions for a class of
models which extend the multiplet structure of the Minimal Supersymmetric
Standard Model to include the heavy states expected in many Grand Unified
and/or superstring theories. We show that there is a strong cancellation
between the 2-loop and threshold effects. As a result the net effect is smaller
than previously thought, giving a small increase in both the unification scale
and the value of the strong coupling at low energies.Comment: 20 pages, Latex, 5 Postscipt figures; 2 references adde
Probing Minimal Supergravity at the CERN LHC for Large
For large values of the minimal supergravity model parameter , the
tau lepton and the bottom quark Yukawa couplings become large, leading to
reduced masses of -sleptons and -squarks relative to their first and
second generation counterparts, and to enhanced decays of charginos and
neutralinos to -leptons and -quarks. We evaluate the reach of the CERN
LHC collider for supersymmetry in the mSUGRA model parameter space. We
find that values of GeV can be probed with just 10
fb of integrated luminosity for values as high as 45, so
that mSUGRA cannot escape the scrutiny of LHC experiments by virtue of having a
large value of . We also perform a case study of an mSUGRA model at
where \tz_2\to \tau\ttau_1 and \tw_1\to \ttau_1\nu_\tau
with branching fraction. In this case, at least within our
simplistic study, we show that a di-tau mass edge, which determines the value
of m_{\tz_2}-m_{\tz_1}, can still be reconstructed. This information can be
used as a starting point for reconstructing SUSY cascade decays on an
event-by-event basis, and can provide a strong constraint in determining the
underlying model parameters. Finally, we show that for large there
can be an observable excess of leptons, and argue that signals
might serve to provide new information about the underlying model framework.Comment: 22 page REVTEX file including 8 figure
Dynamically Induced Spontaneous Symmetry Breaking in 3-3-1 Models
We show that in SU(3)_C X SU(3)_L X U(1)_N (3-3-1) models embedded with a
singlet scalar playing the role of the axion, after imposing scale invariance,
dynamical symmetry breaking of Peccei-Quinn symmetry occurs through the
one-loop effective potential for the singlet field. We, then, analyze the
structure of spontaneous symmetry breaking by studying the new scalar potential
for the model, and verify that electroweak symmetry breaking is tightly
connected to the 3-3-1 breaking by the strong constraints among their vacuum
expectation values. This offers a valuable guide to write down the correct
pattern of symmetry breaking for multi-scalar theories. We also obtained that
the accompanying massive pseudo-scalar, instead of acquiring mass of order of
Peccei-Quinn scale as we would expect, develops a mass at a much lower scale, a
consequence solely of the dynamical breaking.Comment: 12 pages, typos corrected, improved text, conclusions unchange
A Higgs or Not a Higgs? What to Do if You Discover a New Scalar Particle
We show how to systematically analyze what may be inferred should a new
scalar particle be discovered in collider experiments. Our approach is
systematic in the sense that we perform the analysis in a manner which
minimizes apriori theoretical assumptions as to the nature of the scalar
particle. For instance, we do not immediately make the common assumption that a
new scalar particle is a Higgs boson, and so must interact with a strength
proportional to the mass of the particles with which it couples. We show how to
compare different observables, and so to develop a decision tree from which the
nature of the new particle may be discerned. We define several categories of
models, which summarize the kinds of distinctions which the first experiments
can make.Comment: 66 pages, 14 figures, version to appear in International Journal of
Mod. Phys.
Virtual Top-Quark Effects on the H->bb-bar Decay at Next-to-Leading Order in QCD
By means of a heavy-top-quark effective Lagrangian, we calculate the
three-loop corrections of O(alpha_s^2 G_F M_t^2) to the H->bb-bar partial decay
width of the standard-model Higgs boson with intermediate mass M_H<<2M_t. We
take advantage of a soft-Higgs theorem to construct the relevant coefficient
functions. We present our result both in the MS-bar and on-shell schemes of
mass renormalization. The MS-bar formulation turns out to be favourable with
regard to the convergence behaviour. We also test a recent idea concerning the
naive non-abelianization of QCD.Comment: 8 pages (Latex), 5 figures (Postscript
Scale-independent mixing angles
A radiatively-corrected mixing angle has to be independent of the choice of
renormalization scale to be a physical observable. At one-loop in MS-bar, this
only occurs for a particular value, p*, of the external momentum in the
two-point functions used to define the mixing angle: p*^2=(M1^2+M2^2)/2, where
M1, M2 are the physical masses of the two mixed particles. We examine two
important applications of this to the Minimal Supersymmetric Standard Model:
the mixing angle for a) neutral Higgs bosons and b) stops. We find that this
choice of external momentum improves the scale independence (and therefore
provides a more reliable determination) of these mixing angles.Comment: 14 pages, 11 ps figures Version to appear in PR
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