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Reig, M., Valle, J. W. F., & Vaquera-Araujo, C. A. (2016). Realistic SU(3)(c) x SU(3)(L) x U(1)(X) model with a type II Dirac neutrino seesaw mechanism. Phys. Rev. D, 94(3), 033012–4pp.
Abstract: Here we propose a realistic SU(3)(c) circle times SU(3)(L) circle times U(1)(X) electroweak gauge model with enlarged Higgs sector. The scheme allows for the natural implementation of a type II seesaw mechanism for Dirac neutrinos, while charged lepton and quark masses are reproduced in a natural way thanks to the presence of new scalars. The new SU(3)(c) circle times SU(3)(L) circle times U(1)(X) energy scale characterizing neutrino mass generation could be accessible to the current LHC experiments.
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Reig, M., Valle, J. W. F., & Vaquera-Araujo, C. A. (2017). Unifying left-right symmetry and 331 electroweak theories. Phys. Lett. B, 766, 35–40.
Abstract: We propose a realistic theory based on the SU(3) c. SU(3) L. SU(3) R. U(1) Xgauge group which requires the number of families to match the number of colors. In the simplest realization neutrino masses arise from the canonical seesaw mechanism and their smallness correlates with the observed V-A nature of the weak force. Depending on the symmetry breaking path to the Standard Model one recovers either a left-right symmetric theory or one based on the SU(3) c. SU(3) L. U(1) symmetry as the “next” step towards new physics.
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Reig, M., Valle, J. W. F., & Vaquera-Araujo, C. A. (2017). Three-family left-right symmetry with low-scale seesaw mechanism. J. High Energy Phys., 05(5), 100–10pp.
Abstract: We suggest a new left-right symmetric model implementing a low-scale see-saw mechanism in which quantum consistency requires three families of fermions. The symmetry breaking route to the Standard Model determines the profile of the “next” expected new physics, characterized either by the simplest left-right gauge symmetry or by the 3-3-1 scenario. The resulting Z' gauge bosons can be probed at the LHC and provide a production portal for the right-handed neutrinos. On the other hand, its flavor changing interactions would affect the K, D and B neutral meson systems.
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Hati, C., Patra, S., Reig, M., Valle, J. W. F., & Vaquera-Araujo, C. A. (2017). Towards gauge coupling unification in left-right symmetric SU(3)(c) x SU(3)(L) x SU(3)(R) x U(1)(X) theories. Phys. Rev. D, 96(1), 015004–9pp.
Abstract: We consider the possibility of gauge coupling unification within the simplest realizations of the SU(3)(c) x SU(3)(L) x SU(3)(R) xU(1)(X) gauge theory. We present a first exploration of the renormalization group equations governing the “bottom-up” evolution of the gauge couplings in a generic model with free normalization for the generators. Interestingly, we find that for a SU(3)(c) x SU(3)(L) x SU(3)(R) x U(1)(X) symmetry breaking scale M-X as low as a few TeV one can achieve unification in the presence of leptonic octets. We briefly comment on possible grand unified theory frameworks which can embed the SU(3)(c) x SU(3)(L) x SU(3)(R) xU(1)(X) model as well as possible implications, such as lepton flavor violating physics at the LHC.
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Reig, M., Valle, J. W. F., Vaquera-Araujo, C. A., & Wilczek, F. (2017). A model of comprehensive unification. Phys. Lett. B, 774, 667–670.
Abstract: Comprehensive – that is, gauge and family – unification using spinors has many attractive features, but it has been challenged to explain chirality. Here, by combining an orbifold construction with more traditional ideas, we address that difficulty. Our candidate model features three chiral families and leads to an acceptable result for quantitative unification of couplings. A potential target for accelerator and astronomical searches emerges.
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Reig, M., Restrepo, D., Valle, J. W. F., & Zapata, O. (2018). Bound-state dark matter and Dirac neutrino masses. Phys. Rev. D, 97(11), 115032–5pp.
Abstract: We propose a simple theory for the idea that cosmological dark matter (DM) may be present today mainly in the form of stable neutral hadronic thermal relics. In our model, neutrino masses arise radiatively from the exchange of colored DM constituents, giving a common origin for both dark matter and neutrino mass. The exact conservation of B – L symmetry ensures dark matter stability and the Dirac nature of neutrinos. The theory can be falsified by dark matter nuclear recoil direct detection experiments, leading also to possible signals at a next generation hadron collider.
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Reig, M., Valle, J. W. F., & Wilczek, F. (2018). SO(3) family symmetry and axions. Phys. Rev. D, 98(9), 095008–6pp.
Abstract: Motivated by the idea of comprehensive unification, we study a gauged SO(3) flavor extension of the extended Standard Model, including right-handed neutrinos and a Peccei-Quinn symmetry with simple charge assignments. The model accommodates the observed fermion masses and mixings and yields a characteristic, successful relation among them. The Peccei-Quinn symmetry is an essential ingredient.
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Reig, M., & Srivastava, R. (2019). Spontaneous proton decay and the origin of Peccei-Quinn symmetry. Phys. Lett. B, 790, 134–139.
Abstract: We propose a new interpretation of Peccei-Quinn symmetry within the Standard Model, identifying it with the axial B+L symmetry i.e. U (1)(PQ) equivalent to U (1)(gamma 5)(B+L). This new interpretation retains all the attractive features of Peccei-Quinn solution to strong CP problem but in addition also leads to several other new and interesting consequences. Owing to the identification U (1)(PQ) equivalent to U (1)(gamma 5)(B+L) the axion also behaves like Majoron inducing small seesaw masses for neutrinos after spontaneous symmetry breaking. Another novel feature of this identification is the phenomenon of spontaneous (and also chiral) proton decay with its decay rate associated with the axion decay constant. Low energy processes which can be used to test this interpretation are pointed out.
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Reig, M., Restrepo, D., Valle, J. W. F., & Zapata, O. (2019). Bound-state dark matter with Majorana neutrinos. Phys. Lett. B, 790, 303–307.
Abstract: We propose a simple scenario in which dark matter (DM) emerges as a stable neutral hadronic thermal relic, its stability following from an exact U(1)(D) symmetry. Neutrinos pick up radiatively induced Majorana masses from the exchange of colored DM constituents. There is a common origin for both dark matter and neutrino mass, with a lower bound for neutrinoless double beta decay. Direct DM searches at nuclear recoil experiments will test the proposal, which may also lead to other phenomenological signals at future hadron collider and lepton flavor violation experiments.
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Lazarides, G., Reig, M., Shafi, Q., Srivastava, R., & Valle, J. W. F. (2019). Spontaneous Breaking of Lepton Number and the Cosmological Domain Wall Problem. Phys. Rev. Lett., 122(15), 151301–5pp.
Abstract: We show that if global lepton number symmetry is spontaneously broken in a postinflation epoch, then it can lead to the formation of cosmological domain walls. This happens in the well-known “Majoron paradigm” for neutrino mass generation. We propose some realistic examples that allow spontaneous lepton number breaking to be safe from such domain walls.
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