1,085 research outputs found
Radiative Corrections to Neutralino and Chargino Masses in the Minimal Supersymmetric Model
We determine the neutralino and chargino masses in the MSSM at one-loop. We
perform a Feynman diagram calculation in the on-shell renormalization scheme,
including quark/squark and lepton/slepton loops. We find generically the
corrections are of order 6%. For a 20 GeV neutralino the corrections can be
larger than 20%. The corrections change the region of
parameter space which is ruled out by LEP data. We demonstrate that, e.g., for
a given and the lower limit on the parameter can shift
by 20 GeV.Comment: 11 pages, JHU-TIPAC-930030, PURD-TH-93-13, uses epsf.sty, 6 uuencoded
postscript figures, added one sentence and a referenc
Comportement de certains polluants Ă©mergents dans les techniques alternatives (BMPs) de gestion des eaux pluviales
The fine-tuning cost of the likelihood in SUSY models
In SUSY models, the fine tuning of the electroweak (EW) scale with respect to
their parameters gamma_i={m_0, m_{1/2}, mu_0, A_0, B_0,...} and the maximal
likelihood L to fit the experimental data are usually regarded as two different
problems. We show that, if one regards the EW minimum conditions as constraints
that fix the EW scale, this commonly held view is not correct and that the
likelihood contains all the information about fine-tuning. In this case we show
that the corrected likelihood is equal to the ratio L/Delta of the usual
likelihood L and the traditional fine tuning measure Delta of the EW scale. A
similar result is obtained for the integrated likelihood over the set
{gamma_i}, that can be written as a surface integral of the ratio L/Delta, with
the surface in gamma_i space determined by the EW minimum constraints. As a
result, a large likelihood actually demands a large ratio L/Delta or
equivalently, a small chi^2_{new}=chi^2_{old}+2*ln(Delta). This shows the
fine-tuning cost to the likelihood (chi^2_{new}) of the EW scale stability
enforced by SUSY, that is ignored in data fits. A good
chi^2_{new}/d.o.f.\approx 1 thus demands SUSY models have a fine tuning amount
Delta<<exp(d.o.f./2), which provides a model-independent criterion for
acceptable fine-tuning. If this criterion is not met, one can thus rule out
SUSY models without a further chi^2/d.o.f. analysis. Numerical methods to fit
the data can easily be adapted to account for this effect.Comment: 10 pages (v3: small comment added
Relating the CMSSM and SUGRA models with GUT scale and Super-GUT scale Supersymmetry Breaking
While the constrained minimal supersymmetric standard model (CMSSM) with
universal gaugino masses, m_{1/2}, scalar masses, m_0, and A-terms, A_0,
defined at some high energy scale (usually taken to be the GUT scale) is
motivated by general features of supergravity models, it does not carry all of
the constraints imposed by minimal supergravity (mSUGRA). In particular, the
CMSSM does not impose a relation between the trilinear and bilinear soft
supersymmetry breaking terms, B_0 = A_0 - m_0, nor does it impose the relation
between the soft scalar masses and the gravitino mass, m_0 = m_{3/2}. As a
consequence, tan(\beta) is computed given values of the other CMSSM input
parameters. By considering a Giudice-Masiero (GM) extension to mSUGRA, one can
introduce new parameters to the K\"ahler potential which are associated with
the Higgs sector and recover many of the standard CMSSM predictions. However,
depending on the value of A_0, one may have a gravitino or a neutralino dark
matter candidate. We also consider the consequences of imposing the
universality conditions above the GUT scale. This GM extension provides a
natural UV completion for the CMSSM.Comment: 16 pages, 11 figures; added erratum correcting several equations and
results in Sec.2, Sec.3 and 4 remain unaffected and conclusions unchange
Long Cycles in a Perturbed Mean Field Model of a Boson Gas
In this paper we give a precise mathematical formulation of the relation
between Bose condensation and long cycles and prove its validity for the
perturbed mean field model of a Bose gas. We decompose the total density
into the number density of
particles belonging to cycles of finite length () and to
infinitely long cycles () in the thermodynamic limit. For
this model we prove that when there is Bose condensation,
is different from zero and identical to the condensate density. This is
achieved through an application of the theory of large deviations. We discuss
the possible equivalence of with off-diagonal long
range order and winding paths that occur in the path integral representation of
the Bose gas.Comment: 10 page
Testing SUSY
If SUSY provides a solution to the hierarchy problem then supersymmetric
states should not be too heavy. This requirement is quantified by a fine tuning
measure that provides a quantitative test of SUSY as a solution to the
hierarchy problem. The measure is useful in correlating the impact of the
various experimental measurements relevant to the search for supersymmetry and
also in identifying the most sensitive measurements for testing SUSY. In this
paper we apply the measure to the CMSSM, computing it to two-loop order and
taking account of current experimental limits and the constraint on dark matter
abundance. Using this we determine the present limits on the CMSSM parameter
space and identify the measurements at the LHC that are most significant in
covering the remaining parameter space. Without imposing the LEP Higgs mass
bound we show that the smallest fine tuning (1:13) consistent with a relic
density within the WMAP bound corresponds to a Higgs mass of 1142 GeV.
Fine tuning rises rapidly for heavier Higgs.Comment: 12 pages, 7 figures; references added, figures updated for extended
parameter space sca
Testing SUSY at the LHC: Electroweak and Dark matter fine tuning at two-loop order
In the framework of the Constrained Minimal Supersymmetric Standard Model
(CMSSM) we evaluate the electroweak fine tuning measure that provides a
quantitative test of supersymmetry as a solution to the hierarchy problem.
Taking account of current experimental constraints we compute the fine tuning
at two-loop order and determine the limits on the CMSSM parameter space and the
measurements at the LHC most relevant in covering it. Without imposing the
LEPII bound on the Higgs mass, it is shown that the fine tuning computed at
two-loop has a minimum corresponding to a Higgs mass GeV. Adding the constraint that the SUSY dark matter relic density should be
within present bounds we find corresponding to GeV
and this rises to ( GeV) for SUSY dark matter
abundance within 3 of the WMAP constraint. We extend the analysis to
include the contribution of dark matter fine tuning. In this case the overall
fine tuning and Higgs mass are only marginally larger for the case SUSY dark
matter is subdominant and rises to ( GeV) for
the case of SUSY dark matter saturates the WMAP bound. For a Higgs mass above
these values, fine tuning rises exponentially fast. The CMSSM spectrum that
corresponds to minimal fine tuning is computed and provides a benchmark for
future searches. It is characterised by heavy squarks and sleptons and light
neutralinos, charginos and gluinos.Comment: 36 pages, 24 figure
Utilisation d'un outil d'aide au choix des techniques de gestion des eaux pluviales basé sur un SIG pout évaluer la performance hydrologique et la réduction des ruissellements
SO(10) unified models and soft leptogenesis
Motivated by the fact that, in some realistic models combining SO(10) GUTs
and flavour symmetries, it is not possible to achieve the required baryon
asymmetry through the CP asymmetry generated in the decay of right-handed
neutrinos, we take a fresh look on how deep this connection is in SO(10). The
common characteristics of these models are that they use the see-saw with
right-handed neutrinos, predict a normal hierarchy of masses for the neutrinos
observed in oscillating experiments and in the basis where the right-handed
Majorana mass is diagonal, the charged lepton mixings are tiny.
In addition these models link the up-quark Yukawa matrix to the neutrino
Yukawa matrix Y^\nu with the special feature of Y^\nu_{11}-> 0 Using this
condition, we find that the required baryon asymmetry of the Universe can be
explained by the soft leptogenesis using the soft B parameter of the second
lightest right-handed neutrino whose mass turns out to be around 10^8 GeV. It
is pointed out that a natural way to do so is to use no-scale supergravity
where the value of B ~1 GeV is set through gauge-loop corrections.Comment: 26 pages, 2 figures. Added references, new appendix of a relevant fit
and improved comment
Beyond the MSSM Higgs with d=6 effective operators
We continue a previous study of the MSSM Higgs Lagrangian extended by all
effective operators of dimension d=6 that can be present beyond the MSSM,
consistent with its symmetries. By supersymmetry, such operators also extend
the neutralino and chargino sectors, and the corresponding component fields
Lagrangian is computed onshell. The corrections to the neutralino and chargino
masses, due to these operators, are computed analytically in function of the
MSSM corresponding values. For individual operators, the corrections are small,
of few GeV for the constrained MSSM (CMSSM) viable parameter space. We
investigate the correction to the lightest Higgs mass, which receives, from
individual operators, a supersymmetric correction of up to 4 (6) GeV above the
2-loop leading-log CMSSM value, from those CMSSM phase space points with: EW
fine tuning Delta<200, consistent with WMAP relic density (3), and for
a scale of the operators of M=10 (8) TeV, respectively. Applied to the CMSSM
point of minimal fine tuning (Delta=18), such increase gives an upper limit
GeV, respectively. The increase of m_h from individual
operators can be larger ( 10-30 GeV) for those CMSSM phase space points
with Delta>200; these can now be phenomenologically viable, with reduced Delta,
and this includes those points that would have otherwise violated the LEP2
bound by this value. The neutralino/chargino Lagrangian extended by the
effective operators can be used in studies of dark matter relic density within
extensions of the MSSM, by implementing it in public codes like micrOMEGAs.Comment: 36 pages, Latex, 16 figures (v2: minor changes, corrected typos
- âŠ