1,346 research outputs found
Realistic Standard Model Fermion Mass Relations in Generalized Minimal Supergravity (GmSUGRA)
Grand Unified Theories (GUTs) usually predict wrong Standard Model (SM)
fermion mass relation m_e/m_{\mu} = m_d/m_s toward low energies. To solve this
problem, we consider the Generalized Minimal Supergravity (GmSUGRA) models,
which are GUTs with gravity mediated supersymmetry breaking and higher
dimensional operators. Introducing non-renormalizable terms in the super- and
K\"ahler potentials, we can obtain the correct SM fermion mass relations in the
SU(5) model with GUT Higgs fields in the {\bf 24} and {\bf 75} representations,
and in the SO(10) model. In the latter case the gauge symmetry is broken down
to SU(3)_C X SU(2)_L X SU(2)_R X U(1)_{B-L}, to flipped SU(5)X U(1)_X, or to
SU(3)_C X SU(2)_L X U(1)_1 X U(1)_2. Especially, for the first time we generate
the realistic SM fermion mass relation in GUTs by considering the
high-dimensional operators in the K\"ahler potential.Comment: JHEP style, 29 pages, no figure,references adde
Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry
I compute the two-loop effective potential in the Landau gauge for a general
renormalizable field theory in four dimensions. Results are presented for the
\bar{MS} renormalization scheme based on dimensional regularization, and for
the \bar{DR} and \bar{DR}' schemes based on regularization by dimensional
reduction. The last of these is appropriate for models with softly broken
supersymmetry, such as the Minimal Supersymmetric Standard Model. I find the
parameter redefinition which relates the \bar{DR} and \bar{DR}' schemes at
two-loop order. I also discuss the renormalization group invariance of the
two-loop effective potential, and compute the anomalous dimensions for scalars
and the beta function for the vacuum energy at two-loop order in softly broken
supersymmetry. Several illustrative examples and consistency checks are
included.Comment: 38 pages. Typos in equations (3.5), (3.11), and (6.3) are fixed.
Explicit claim of renormalization group invariance in the general case of
softly-broken supersymmetry is added. Additional discussion of cases of
multiple simple or U(1) groups. Equations in Appendix B rewritten in a more
useful for
Use of fecal volatile organic compound analysis to discriminate between nonvaccinated and BCG-Vaccinated cattle prior to and after \u3ci\u3eMycobacterium bovis\u3c/i\u3e challenge
Bovine tuberculosis is a zoonotic disease of global public health concern. Development of diagnostic tools to improve test accuracy and efficiency in domestic livestock and enable surveillance of wildlife reservoirs would improve disease management and eradication efforts. Use of volatile organic compound analysis in breath and fecal samples is being developed and optimized as a means to detect disease in humans and animals. In this study we demonstrate that VOCs present in fecal samples can be used to discriminate between non-vaccinated and BCG-vaccinated cattle prior to and after Mycobacterium bovis challenge
Use of fecal volatile organic compound analysis to discriminate between nonvaccinated and BCG-Vaccinated cattle prior to and after \u3ci\u3eMycobacterium bovis\u3c/i\u3e challenge
Bovine tuberculosis is a zoonotic disease of global public health concern. Development of diagnostic tools to improve test accuracy and efficiency in domestic livestock and enable surveillance of wildlife reservoirs would improve disease management and eradication efforts. Use of volatile organic compound analysis in breath and fecal samples is being developed and optimized as a means to detect disease in humans and animals. In this study we demonstrate that VOCs present in fecal samples can be used to discriminate between non-vaccinated and BCG-vaccinated cattle prior to and after Mycobacterium bovis challenge
General Gauge and Anomaly Mediated Supersymmetry Breaking in Grand Unified Theories with Vector-Like Particles
In Grand Unified Theories (GUTs) from orbifold and various string
constructions the generic vector-like particles do not need to form complete
SU(5) or SO(10) representations. To realize them concretely, we present
orbifold SU(5) models, orbifold SO(10) models where the gauge symmetry can be
broken down to flipped SU(5) X U(1)_X or Pati-Salam SU(4)_C X SU(2)_L X SU(2)_R
gauge symmetries, and F-theory SU(5) models. Interestingly, these vector-like
particles can be at the TeV-scale so that the lightest CP-even Higgs boson mass
can be lifted, or play the messenger fields in the Gauge Mediated Supersymmetry
Breaking (GMSB). Considering GMSB, ultraviolet insensitive Anomaly Mediated
Supersymmetry Breaking (AMSB), and the deflected AMSB, we study the general
gaugino mass relations and their indices, which are valid from the GUT scale to
the electroweak scale at one loop, in the SU(5) models, the flipped SU(5) X
U(1)_X models, and the Pati-Salam SU(4)_C X SU(2)_L X SU(2)_R models. In the
deflected AMSB, we also define the new indices for the gaugino mass relations,
and calculate them as well. Using these gaugino mass relations and their
indices, we may probe the messenger fields at intermediate scale in the GMSB
and deflected AMSB, determine the supersymmetry breaking mediation mechanisms,
and distinguish the four-dimensional GUTs, orbifold GUTs, and F-theory GUTs.Comment: RevTex4, 45 pages, 15 tables, version to appear in JHE
Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
We present the two-loop QCD helicity amplitudes for quark-gluon scattering,
and for quark-antiquark annihilation into two gluons. These amplitudes are
relevant for next-to-next-to-leading order corrections to (polarized) jet
production at hadron colliders. We give the results in the `t Hooft-Veltman and
four-dimensional helicity (FDH) variants of dimensional regularization. The
transition rules for converting the amplitudes between the different variants
are much more intricate than for the previously discussed case of gluon-gluon
scattering. Summing our two-loop expressions over helicities and colors, and
converting to conventional dimensional regularization, gives results in
complete agreement with those of Anastasiou, Glover, Oleari and Tejeda-Yeomans.
We describe the amplitudes for 2 to 2 scattering in pure N=1 supersymmetric
Yang-Mills theory, obtained from the QCD amplitudes by modifying the color
representation and multiplicities, and verify supersymmetry Ward identities in
the FDH scheme.Comment: 77 pages. v2: corrected errors in eqs. (3.7) and (3.8) for one-loop
assembly; remaining results unaffecte
Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
We show that the Pade Approximant (PA) approach for resummation of
perturbative series in QCD provides a systematic method for approximating the
flow of momentum in Feynman diagrams. In the large- limit, diagonal
PA's generalize the Brodsky-Lepage-Mackenzie (BLM) scale-setting method to
higher orders in a renormalization scale- and scheme-invariant manner, using
multiple scales that represent Neubert's concept of the distribution of
momentum flow through a virtual gluon. If the distribution is non-negative, the
PA's have only real roots, and approximate the distribution function by a sum
of delta-functions, whose locations and weights are identical to the optimal
choice provided by the Gaussian quadrature method for numerical integration. We
show how the first few coefficients in a perturbative series can set rigorous
bounds on the all-order momentum distribution function, if it is positive. We
illustrate the method with the vacuum polarization function and the Bjorken sum
rule computed in the large- limit.Comment: 28 pages, LaTeX, including 6 figures requires epsfig.st
Focus Points and Naturalness in Supersymmetry
We analyze focus points in supersymmetric theories, where a parameter's
renormalization group trajectories meet for a family of ultraviolet boundary
conditions. We show that in a class of models including minimal supergravity,
the up-type Higgs mass has a focus point at the weak scale, where its value is
highly insensitive to the universal scalar mass. As a result, scalar masses as
large as 2 to 3 TeV are consistent with naturalness, and {\em all} squarks,
sleptons and heavy Higgs scalars may be beyond the discovery reaches of the
Large Hadron Collider and proposed linear colliders. Gaugino and Higgsino
masses are, however, still constrained to be near the weak scale. The focus
point behavior is remarkably robust, holding for both moderate and large
\tan\beta, any weak scale gaugino masses and A parameters, variations in the
top quark mass within experimental bounds, and for large variations in the
boundary condition scale.Comment: 30 pages, 17 figure
Sfermion masses in Nelson-Strassler type of models: SUSY standard models coupled with SCFTs
We study soft SUSY breaking parameters in the Nelson-Strassler type of
models: SUSY standard models coupled with SCFTs. In this type of models, soft
SUSY breaking parameters including sfermion masses can be suppressed around the
decoupling scale of SCFTs. We clarify the condition to derive exponential
suppression of sfermion masses within the framework of pure SCFTs. Such
behavior is favorable for degeneracy of sfermion masses. However, the realistic
sfermion masses are not quite degenerate due to the gauge couplings and the
gaugino masses in the SM sector. We show the sfermion mass spectrum obtained in
such models. The aspect of suppression for the soft SUSY breaking parameters is
also demonstrated in an explicit model. We also give a mechanism generating the
-term of the Electro-Weak scale by a singlet field coupled with the SCFT.Comment: 28 pages, 8 figures, LaTeX file; corrected typos and references adde
Dimensionless supersymmetry breaking couplings, flat directions, and the origin of intermediate mass scales
The effects of supersymmetry breaking are usually parameterized by soft
couplings of positive mass dimensions. However, realistic models also predict
the existence of suppressed, but non-vanishing, dimensionless
supersymmetry-breaking couplings. These couplings are technically hard, but do
not lead to disastrous quadratic divergences in scalar masses, and may be
crucial for understanding low-energy physics. In particular, analytic scalar
quartic couplings that break supersymmetry can lead to intermediate scale
vacuum expectation values along nearly-flat directions. I study the one-loop
effective potential for flat directions in the presence of dimensionless
supersymmetry-breaking terms, and discuss the corresponding renormalization
group equations. I discuss two applications: a minimal model of automatic
R-parity conservation, and an extension of this minimal model which provides a
solution to the \mu problem and an invisible axion.Comment: 28 pages, LaTeX with epsf and axodraw.st
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