Left-right Theories Research Articles

0νββ in left-right theories with Higgs doublets and gauge coupling unification

We consider a version of Left-Right Symmetric Model in which the scalar sector consists of a Higgs bidoublet (Φ) with B−L=0, Higgs doublets (HL,R) with B−L=1 and a charged scalar (δ+) with B−L=2 leading to radiatively generated Majorana masses for neutrinos and thereby, leads to new physics contributions to neutrinoless double beta decay (0νββ). We show that such a novel framework can be embedded in a non-SUSY SO(10) GUT leading to successful gauge coupling unification at around 1016 GeV with the scale of left-right symmetry breaking around 1010 GeV. The model can also be extended to have left-right symmetry breaking at TeV scale, enabling detection of WR,ZR bosons in LHC and future collider searches. In the context of neutrinoless double beta decay, this model can saturate the present bound from GERDA and KamLAND-Zen experiments. Also, we briefly explain how keV-MeV range RH neutrino arising from our model can saturate various astrophysical and cosmological constraints and can be considered as warm Dark Matter (DM) candidate to address various cosmological issues. We also discuss on left-right theories with Higgs doublets without having scalar bidoublet leading to fermion masses and mixings by inclusion of vector like fermions.

Lepton flavor violation in left-right theory

We investigate the predictions for lepton flavour number violating processes in the context of a simple left-right symmetric theory. In this context neutrinos are Majorana fermions and their masses are generated at the quantum level through the Zee mechanism using the simplest Higgs sector. We show that the right handed neutrinos are generically light and can give rise to large lepton number violating contributions to rare processes. We discuss the correlation between the collider constrains and the predictions for lepton number violating processes. We find that using the predictions for mu to e gamma and mu to e conversion together with the collider signatures one could test this theory in the near future.

Type III seesaw and left-right symmetry

The implementation of the Type III seesaw mechanism for neutrino masses in the context of left-right theories where parity is broken spontaneously is investigated. We propose a simple left-right symmetric theory where the neutrinos masses are generated through a double seesaw mechanism which is a combination of Type I and Type III seesaw. In this context we find a possible candidate for the cold dark matter in the Universe and discuss the Baryogenesis via Leptogenesis mechanisms. The spectrum of the theory, the phenomenological constraints and the possibility to test the theory at the Large Hadron Collider are investigated.

One-loop renormalization group equations for two left-right supersymmetric models

In this paper we present the renormalization group equations to one-loop order for all the parameters of two supersymmetric left-right theories that are softly broken. Both models are based upon the gauge group SU(3)^c x SU(2)_L x SU(2)_R x U(1)_{B - L} and both contain an arbitrary number of bidoublets as well as singlets; however, one model uses doublets to break SU(2)_R and the other uses triplets.

Beyond Left-Right Ideology in the Study of Justice Perception

This article outlines an alternative to traditional left-right ideological spectrum approaches to studying political opinion formation and distributive justice perception within cultures, highlighting instead the tension that exists between an interdependence distributive worldview focused on intimacy and social connectedness, and an independence distributive worldview focused on personal control and mastery over one’s life space. Employing data from the Cross-Cultural Variations in Distributive Justice Perception project, (a) quantitative measures of individual differences in personality orientations and (b) qualitative-interpretive measures of word-use patterns (in discussing distributive fairness issues) are applied within two exemplary cultural contexts (Jamaica, New Zealand) to examine the potential utility of the interdependence-independence model as a viable explanatory alternative to left-right theories of justice orientation. Profiles are constructed of salient features differentiating the distributive worldviews of interdependents and independents in Jamaica and New Zealand, and implications of this model are drawn for the study of distributive justice perception processes across cultures

C,P, and StrongCPin Left-Right Supersymmetric Models

We systematically study the connection between $P$, $C$, and strong $\mathrm{CP}$ in the context of both nonsupersymmetric and supersymmetric left-right theories. We find that the solution to the strong $\mathrm{CP}$ problem requires both supersymmetry and parity breaking scales to be around the weak scale.

Reconciling High-Scale Left-Right Symmetry with Supersymmetry

We construct the minimal supersymmetric left-right theory and show that at the renormalizable level it requires the existence of an intermediate $B-L$ breaking scale. The subsequent symmetry breaking down to MSSM automatically preserves R-symmetry. Furthermore, unlike in the nonsupersymmetric version of the theory, the see-saw mechanism takes its canonical form. The theory predicts the existence of a triplet of Higgs scalars much lighter than the $B-L$ breaking scale.

Correspondence principle and quantum gauge theories with chiral fermions

The correspondence principle is used to extend nonabelian gauge theories with chiral fermions up to anomaly-free theories by introducing unitary scalar fields. Resulting theories can be treated as a low-energy approximation to left-right theories. This approach fixes the Weinberg angle of the electroweak theory at θw=30°.

An arbitrary natural effective hierarchy in a left-right higgs theory

I describe an ordinary Higgs model that produces naturally near its infrared fixed point an arbitrarily large ration of vacuum expectation values, effectively a hierarchy between scales of symmetry breaking. The model has potential phenomenological relevance to left-right theories: it predicts small W L-W R mixing and the existence of ultralight Dirac fermions.

Constraints on the right-W-boson mass in nonmanifest left-right gauge theories

We obtain a model-independent lower bound on ${M}_{R}$ of 300 GeV for a general class of ${\mathrm{SU}(2)}_{L}\ifmmode\times\else\texttimes\fi{}{\mathrm{SU}(2)}_{R}\ifmmode\times\else\texttimes\fi{}{\mathrm{U}(1)}_{Y}$ left-right theories without any assumptions about the structure of the Cabibbo-Kobayashi-Maskawa matrices or the right-handed neutrino mass. Our result is also independent of Higgs-boson, dispersive, and ${W}_{L}\ensuremath{-}{W}_{R}$ mixing contributions, and it holds for a range of bag constants.