Precision and uncertainties in mass scale predictions in SUSY SO(10) with $SU(2)_{L}\times SU(2)_{R}\times U(1)_{B-L}\times SU(3)_C$ intermediate breaking

Parida, M. K.; Purkayastha, B.; Das, C. R.; Cajee, B.D.

doi:10.1140/epjc/s2003-01180-x

Cited by 14 publications

(30 citation statements)

References 29 publications

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“…In particular, the scale of the left-right symmetry breaking v R can be as small as a few TeV and be consistent with unification (for a recent analysis see Ref. [28]). …”

Section: The Case Of a Right-handed Triplet ∆ Rmentioning

confidence: 65%

Right-handed sector leptogenesis

Frigerio

Hambye

2006

J. Cosmol. Astropart. Phys.

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Instead of creating the observed baryon asymmetry of the universe by the decay of right-handed (RH) neutrinos to left-handed leptons, we propose to generate it dominantly by the decay of the RH neutrinos to RH leptons. This mechanism turns out to be successful in large regions of parameter space. It may work, in particular, at a scale as low as ∼ TeV, with no need to invoke quasi-degenerate RH neutrino masses to resonantly enhance the asymmetry. Such a possibility can be probed experimentally by the observation at colliders of a singlet charged Higgs particle and of RH neutrinos. Other mechanisms which may lead to successful leptogenesis from the RH lepton sector interactions are also briefly presented. The incorporation of these scenarios in left-right symmetric and unified models is discussed.

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“…In particular, the scale of the left-right symmetry breaking v R can be as small as a few TeV and be consistent with unification (for a recent analysis see Ref. [28]). …”

Section: The Case Of a Right-handed Triplet ∆ Rmentioning

confidence: 65%

Right-handed sector leptogenesis

Frigerio

Hambye

2006

J. Cosmol. Astropart. Phys.

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“…But we have postponed such models for our future investigations. Amongst a lot of articles devoted to the SU(5), SO(10) and E 6 unifications (see, for example, monographs [29][30][31], reviews [32][33][34][35][36], articles [37][38][39][40], also [41][42][43][44] and references therein) we have chosen only flipped models [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Content Of the Flipped Ementioning

confidence: 99%

SEESAW SCALES AND STEPS FROM THE STANDARD MODEL TOWARDS SUPERSTRING-INSPIRED FLIPPED E₆

Das

Лаперашвили

2009

Int. J. Mod. Phys. A

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In the present paper we have investigated a number of available paths from the Standard Model (SM) to the Planck scale unification, considering a chain of flipped models following the seesaw scale extension of the SM:We have presented five cases including nonsupersymmetric and supersymmetric extensions of the SM and different contents of Higgs bosons providing the breaking of the flipped SO(10) and SU (5) down to the SM. It was shown that the final unification E 6 × U (1) or E 6 at the (Planck) GUT scale M SSG depends on the number of Higgs boson representations considered in theory. Only Higgses belonging to the vector and adjoint representations of SU (5) and SO(10) lead to the asymptotically free behaviour of nonabelian gauge coupling constants at large energies µ > ∼ 10 17 GeV. Asymptotically free models give the final unification E 6 × U (1) with the inversed E 6 fine structure constant α IntroductionNature is described by gauge theories and prefers to have the gauge groups with small rank, in comparison with the number N f of given fermion fields. For instance, the Standard Model (SM) contains 45 known fermion fields and could be described by the enormous global group SU(45) × U(1). Why does Nature choose only small subgroups of this enormous global group? The answer was given in Refs. [1][2][3][4]. The principles are simple: the resulting theory has to be (i) free from anomalies and (ii) free from bare masses. The largest simple subgroups of SU(N f ) × U(1) satisfying conditions (i) and (ii) are listed for a given N f in the Table 1 of Ref. [2] with N f going up to N f = 81. Examples taken from this Table show that we have SU(5) for N f = 15 and N f = 45, SO(10) for N f = 16 and N f = 48, E 6 for N f = 27, etc. If there exists one right-handed neutrino per family, in addition to the known SM fermions, then with one, two or three families we have the number of fermions 16, 32, 48, respectively.The insistence on the simple group is quite necessary. Otherwise, the largest semisimple groups also are possible:for N f = 78, etc., leading to the Family replicated gauge group models. The last 10 years Grand Unified Theories (GUTs) are inspired by superstring theories [5][6][7][8][9] showing a connection between superstrings and low energy particle physics phenomenology. The most realistic model based on the string theory is the heterotic string-derived flipped E 6 [10,11]. Compactification theory involving D-branes provides interesting features of the flipped models. Conventional GUT models, such as SU (5) and SO(10), have been investigated in details by a lot of authors, but none of them are not completely satisfactory. In Refs.[10] the gauge group SU(5) × U(1) ("flipped SU(5)") was suggested as a very economical candidate for unified theory: it may require only 10 + 10 Higgs representations to break the GUT symmetry, in contrast to other unified models which require large representations. There are many attractive experimentally testable results for flipped SU(5), including the prediction of α s (M Z )...

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“…While the gravitational corrections originating from the 5-dim. operator due to 210 was investigated in [20], in this work we investigate the corresponding effects due to 54 and 210 ⊕ 54 while studying the threshold effects of the latter. The evolution of gauge couplings in the two different mass ranges is expressed as,…”

Section: Threshold and Gravitational Corrections On Mass Scalesmentioning

confidence: 99%

“…(11)- (12) represent one-loop, two-loop, threshold, and gravitational corrections, respectively [20]. In eqs.…”

Section: Threshold and Gravitational Corrections On Mass Scalesmentioning

confidence: 99%

“…The realization of perturbative grand unification in R-parity conserving SO(10) which has not been possible otherwise is demonstrated for the first time in this paper. Other new contributions of the present paper compared to [20] are derivations of gravitational corrections in the presence of Higgs representations 54 and 210⊕54 which contribute to SO(10) breaking near the GUT scale. Combining perturbative criteria with R-parity conservation in SUSY SO (10) we obtain lower bounds on the unification scale in different cases.…”

Section: Introductionmentioning

confidence: 96%

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High scale perturbative gauge coupling in R-parity conserving SUSY SO(10) with longer proton lifetime

Parida

Cajee

2005

Eur. Phys. J. C

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Abstract. It is well known that in single step breaking of R-parity conserving SUSY SO(10) that needs the Higgs representations 126 ⊕ 126 the GUT-gauge coupling violates perturbative constraint at mass scales few times larger than the GUT scale. Therefore, if the SO(10) gauge coupling is to remain perturbative up to the Planck scale(≡ 2 × 10 18 GeV), the scale MU of the GUT symmetry breaking is to be bounded from below. The bound depends upon specific Higgs representations used for SO(10) symmetry breaking but, as we find, can not be lower than 1.5 × 10 17 GeV. In order to obtain such a high unification scale we propose a two-step SO(10) breaking through SU (2)L × SU (2)R × U (1)B−L × SU (3)C (g2L = g2R) intermediate gauge symmetry. We estimate potential threshold and gravitational corrections to the running of gauge couplings and show that they can make the picture of perturbative GUT-gauge coupling running consistent at least up to the Planck scale. We also show that when SO(10) → G2213 by Higgs representations 210 ⊕ 54, gravitational corrections alone with negligible threshold effects may guarantee such perturbative gauge coupling. The lifetime of the proton is found to increase by nearly 6 orders over the present experimental limit for p → e + π 0 . For the proton decay mediated by dim.5 operator a wide range of lifetimes is possible extending from the current experimental limit up to values 2 − 3 orders longer.

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Precision and uncertainties in mass scale predictions in SUSY SO(10) with $SU(2)_{L}\times SU(2)_{R}\times U(1)_{B-L}\times SU(3)_C$ intermediate breaking

Cited by 14 publications

References 29 publications

Right-handed sector leptogenesis

Right-handed sector leptogenesis

SEESAW SCALES AND STEPS FROM THE STANDARD MODEL TOWARDS SUPERSTRING-INSPIRED FLIPPED E₆

High scale perturbative gauge coupling in R-parity conserving SUSY SO(10) with longer proton lifetime

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Precision and uncertainties in mass scale predictions in SUSY SO(10) with $SU(2)_{L}\times SU(2)_{R}\times U(1)_{B-L}\times SU(3)_C$ intermediate breaking

Cited by 14 publications

References 29 publications

Right-handed sector leptogenesis

Right-handed sector leptogenesis

SEESAW SCALES AND STEPS FROM THE STANDARD MODEL TOWARDS SUPERSTRING-INSPIRED FLIPPED E6

High scale perturbative gauge coupling in R-parity conserving SUSY SO(10) with longer proton lifetime

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SEESAW SCALES AND STEPS FROM THE STANDARD MODEL TOWARDS SUPERSTRING-INSPIRED FLIPPED E₆