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Hadronic absorption cross sections of B{sub c}

The cross sections of B{sub c} absorption by {pi} mesons are calculated using a hadronic Lagrangian based on the SU(5) flavor symmetry. Calculated cross sections are found to be in the ranges 2-7 mb and 0.2-2 mb for the processes B{sub c}{sup +}{pi}{yields}DB and B{sub c}{sup +}{pi}{yields}D*B*, respectively, when the monopole form factor is included. These results could be useful in calculating the production rate of B{sub c} mesons in relativistic heavy ion collisions.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Type-II seesaw dominance in nonsupersymmetric and split-supersymmetry SO(10) models and proton lifetime

Recently type-II seesaw in a supersymmetricSO(10) framework has been found useful in explaining large solar and atmospheric mixing angles as well as a larger value of {theta}{sub 13} while unifying quark and lepton masses. An important question in these models is whether there exists consistency between coupling unification and type-II seesaw dominance. Scenarios where this consistency can be demonstrated have been given in a SUSY framework. In this paper we give examples where type-II dominance occurs in SO(10) models without supersymmetry but with additional TeV-scale particles and also in models with split-supersymmetry. Grand unification is realized in a two step process via breaking of SO(10) to SU(5) and then to a TeV-scale standard model supplemented by extra fields and an SU(5) Higgs multiplet 15{sub H} at a scale of about 10{sup 12} GeV to give a type-II seesaw. The predictions for proton lifetime in these models are in the range {tau}{sub p}{sup 0}=2x10{sup 35} yrs. to 6x10{sup 35} yrs. A number of recent numerical fits to GUT-scale fermion masses can be accommodated within this model.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Flipped GUT inflation

We analyse the prospects for constructing hybrid models of inflation that provide a dynamical realisation of the apparent closeness between the supersymmetric GUT scale and the possible scale of cosmological inflation. In the first place, we consider models based on the flipped SU(5)×U(1) gauge group, which has no magnetic monopoles. In one model, the inflaton is identified with a sneutrino field, and in the other model it is a gauge singlet. In both cases we find regions of the model parameter spaces that are compatible with the experimental magnitudes of the scalar perturbations, A{sub s}, and the tilt in the scalar perturbation spectrum, n{sub s}, as well as with an indicative upper limit on the tensor-to-scalar perturbation ratio, r. We also discuss embeddings of these models into SO(10), which is broken at a higher scale so that its monopoles are inflated away.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Gauged flavor, supersymmetry and grand unification

I review a recent work on gauged flavor with left-right symmetry, where all masses and all Yukawa couplings owe their origin to spontaneous flavor symmetry breaking. This is suggested as a precursor to a full understanding of flavor of quarks and leptons. An essential ingredient of this approach is the existence of heavy vector-like fermions, which is the home of flavor, which subsequently gets transmitted to the familiar quarks and leptons via the seesaw mechanism. I then discuss implications of extending this idea to include supersymmetry and finally speculate on a possible grand unified model based on the gauge group SU(5){sub L} Multiplication-Sign SU(5){sub R} which provides a group theoretic origin for the vector-like fermions.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Neutrino mixings and grand unification: SU(5) GUT with anomaly free U(1){sub F}

The model of supersymmetric SU(5) GUT augmented with anomaly free U(1){sub F} flavor symmetry is presented. The field content and the U(1){sub F} charge assignment is obtained by specific embedding of SU(5) Multiplication-Sign U(1){sub F} in larger non-Abelian group. We focus on a particular case which gives very economical field content with the U(1){sub F} charges fixed in such a way that for quarks and leptons appealing texture zero Yukawa couplings are generated. The model gives realistic fermion masses and mixings and predict inverted hierarchical neutrino mass scenario with interesting implications.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Non-minimal inflation and SUSY GUTs

The Standard Model Higgs boson with the nonminimal coupling to the gravitational curvature can drive cosmological inflation. We study this type of inflationary scenario in the context of supergravity. We first point out that it is naturally implemented in the minimal supersymmetric SU(5) model, and hence virtually in any GUT models. Next we propose another scenario based on the Minimal Supersymmetric Standard Model supplemented by the right-handed neutrinos. These models can be tested by new observational data from the Planck satellite experiments within a few years.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Phenomenology of neutrinophilic Higgs GUT

Among three typical energy scales, a neutrino mass scale (m{sub {nu}}{approx}0.1eV), a GUT scale (M{sub GUT}{approx}10{sup 16}GeV), and a TeV-scale (M{sub NP}{approx}1TeV), there is a fascinating relation of M{sub NP} Asymptotically-Equal-To {radical}(m{sub {nu}} Dot-Operator M{sub GUT}) The TeV-scale, M{sub NP}, is a new physics scale beyond the standard model which is regarded as 'supersymmetry' (SUSY) in this letter. We investigate phenomenology of SUSY SU(5) GUT with neutrinophilic Higgs, which realizes the above relation dynamically as well as the suitable magnitude of Dirac mass, m{sub {nu}}, through a tiny vacuum expectation value of neutrinophilic Higgs. As a remarkable feature of this model, accurate gauge coupling unification can be achieved as keeping with a proton stability. We also evaluate flavor changing processes in quark/lepton sectors.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

An explicit SU(12) family and flavor unification model

An explicit SUSY SU(12) unification model with three light chiral families is presented which avoids any external flavor symmetries. The hierarchy of quark and lepton masses and mixings is explained by higher dimensional Yukawa interactions involving Higgs bosons containing SU(5) singlet fields with VEVs appearing at or below the SUSY GUT scale of 2 Multiplication-Sign 10{sup 16} GeV, approximately 50 times smaller than the SU(12) unification scale. The model has been found to be in good agreement with the observed quark and lepton masses and mixings, with nearly all prefactors of {beta}(1) in the four Dirac and one Majorana fermion mass matrices.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Minimal SUSY SU(5) with extra vectorlike matter

It is shown that the minimal renormalizable supersymmetric SU(5) grand unified theory can be made realistic by the inclusion of a single vectorlike 5 +5-bar pair. Such a modification can at the same time correct the usual bad mass relations for the first two generations and safely increase the nucleon lifetime. The model predicts the lifetime of at least some decay rate to be less than approximately 10{sup 34} yrs, provided that all the superpartners of the minimal supersymmetric standard model lie below 3 TeV. The two statements will be tested by the next proton decay measurements and LHC, respectively.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Relating quark mixing neutrino mixing and {delta}{sub lep}

It is proposed that all flavor mixing is caused by the mixing of the three quark and lepton families with vectorlike fermions in 5+5-bar multiplets of SU(5). The entire 3 Multiplication-Sign 3 complex mass matrix of the neutrinos M{sub {nu}} is then found to have a simple expression in terms of two complex parameters and an overall scale. Thus, all the presently unknown neutrino parameters are predicted. The best fits are for {theta}{sub atm} Less-Than-Or-Equivalent-To 40 Degree-Sign The leptonic Dirac CP phase is found to be somewhat greater than {pi}.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

A continuous family of realistic SUSY SU(5) GUTs

It is shown that the minimal renormalizable supersymmetric SU(5) is still realistic providing the supersymmetric scale is at least few tens of TeV or large R-parity violating terms are considered. In the first case the vacuum is metastable, and different consistency constraints can give a bounded allowed region in the tan β − m{sub susy} plane. In the second case the mass eigenstate electron (down quark) is a linear combination of the original electron (down quark) and Higgsino (heavy colour triplet), and the mass ratio of bino and wino is determined. Both limits lead to light gravitino dark matter.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

GUT scalar potentials for Higgs inflation

Motivated by the idea that there is new physics beyond the Standard Model (SM), we have investigated a number of models for Grand Unified Theories (GUTS) in four dimensions for the possibility that their Higgs fields might be responsible for inflation in the early universe. In addition to models having an intrinsic Planck mass parameter, we have entertained classically scale invariant models in which the Planck scale itself as well as the GUT scale is induced by spontaneous breaking of the gauge symmetry. We found that in non-supersymmetric SU(5) with the usual Higgs in the adjoint representation but with large non-minimal coupling to the curvature, there appear to be several possible flat directions that might lead to inflation. Interestingly, the one of lowest energy is the breaking into SU(3)SU(2)U(1) that is suggested by gauge coupling unification. Further, we show that this flat direction is stable against small fluctuations in other directions. We attempted to extend this to similar supersymmetric GUTS, both global and supergravity, but did not succeed in finding a phenomenologically acceptable model of this type, with a 'minimal' Kaehler potential augmented only by terms characterised by dimensionless coupling constants. As is often the case, such models suffered either from a negative vacuum energy or from tachyonic modes. We also considered a variant of an 'inverted hierarchy' model in which the GUT scale is set by dimensional transmutation, but were unable to find a phenomenologically acceptable model.

79 ASTRONOMY AND ASTROPHYSICS↗

Confronting recent results from selected direct and indirect dark matter searches and the Higgs boson with supersymmetric models with non-universal gaugino masses

In this paper we study a class of supersymmetric models with non-universal gaugino masses that arise from a mixture of SU(5) singlet and non-singlet representations, i.e. a combination of 1, 24, 75 and 200. Based on these models we calculate the expected dark matter signatures within the linear combination 1 ⊕ 24 ⊕ 75 ⊕ 200. We confront the model predictions with the detected boson as well as current experimental limits from selected indirect and direct dark matter search experiments ANTARES respective IceCube and XENON. We comment on the detection/exclusion capability of the future XENON 1t project. For the investigated parameter span we could not find a SU(5) singlet model that fulfils the Higgs mass and the relic density constraint. In contrary, allowing a mixture of 1 ⊕ 24 ⊕ 75 ⊕ 200 enables a number of models fulfilling these constraints.

79 ASTRONOMY AND ASTROPHYSICS↗

Higgs inflation, reheating and gravitino production in no-scale Supersymmetric GUTs

We extend our previous study of supersymmetric Higgs inflation in the context of no-scale supergravity and grand unification, to include models based on the flipped SU(5) and the Pati-Salam group. Like the previous SU(5) GUT model, these yield a class of inflation models whose inflation predictions interpolate between those of the quadratic chaotic inflation and Starobinsky-like inflation, while avoiding tension with proton decay limits. We further analyse the reheating process in these models, and derive the number of e-folds, which is independent of the reheating temperature. We derive the corresponding predictions for the scalar tilt and the tensor-to-scalar ratio in cosmic microwave background perturbations, as well as discussing the gravitino production following inflation.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Starobinsky-like inflation, supercosmology and neutrino masses in no-scale flipped SU(5)

We embed a flipped SU(5) × U(1) GUT model in a no-scale supergravity framework, and discuss its predictions for cosmic microwave background observables, which are similar to those of the Starobinsky model of inflation. Measurements of the tilt in the spectrum of scalar perturbations in the cosmic microwave background, n {sub s} , constrain significantly the model parameters. We also discuss the model's predictions for neutrino masses, and pay particular attention to the behaviours of scalar fields during and after inflation, reheating and the GUT phase transition. We argue in favor of strong reheating in order to avoid excessive entropy production which could dilute the generated baryon asymmetry.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Finite unified theories and their predicitions

All-loop Finite Unified Theories (FUTs) are very interesting N = 1 supersymmetric Grand Unified Theories (GUTs) realising an old field theory dream, and moreover have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N = 1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exist RGI relations among dimensional couplings that guarantee the vanishing of all beta-functions in certain N = 1 GUTs even to all orders. Additional developments in the soft supersymmetry breaking sector of N = 1 GUTs and FUTs lead to exact RGI relations, i.e. reduction of couplings, in this dimensionful sector of the theory, too. Based on the above theoretical framework phenomenologically consistent FUTs have been constructed. Here we review two FUT models based on the SU(5) gauge group. Confronting their predictions with the top and bottom quark masses and other experimental constraints a light Higgs-boson mass in the range M{sub H} ∼ 121–126 GeV has been predicted, in striking agreement with the recent experimental results from ATLAS and CMS. Furthermore naturally a relatively heavy s-spectrum emerged with coloured supersymmetric particles above ∼1.5 TeV in agreement with the non-observation of those particles at the LHC. Restricting further the parameter space of the best version of the SU(5) FUT according to the reported accuracy of the Higgs boson mass and B-physics observables we find predictions for the rest of the Higgs masses and the s-spectrum.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗