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Ferreiro, A., Navarro-Salas, J., & Pla, S. (2018). Role of gravity in the pair creation induced by electric fields. Phys. Rev. D, 98(4), 045015–6pp.
Abstract: We analyze the pair production induced by homogenous, time-dependent electric fields in an expanding space-time background. We point out that, in obtaining the semiclassical Maxwell equations, two distinct notions of adiabatic renormalization are possible. In Minkowski space, the two recipes turn out to be equivalent. However, in the presence of gravity, only the recipe requiring an adiabatic hierarchy between the gravitational and the gauge field is consistent with the conservation of the energy-momentum tensor.
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Fileviez Perez, P., Gross, A., & Murgui, C. (2018). Seesaw scale, unification, and proton decay. Phys. Rev. D, 98(3), 035032–10pp.
Abstract: We investigate a simple realistic grand unified theory based on the SU(5) gauge symmetry, which predicts an upper bound on the proton decay lifetime for the channels p -> K+(nu) over bar and p -> pi(+)(nu) over bar, i.e., tau (p -> K+(nu) over bar) less than or similar to 3.4 x 10(35) and tau(p -> pi(+)(nu) over bar) less than or similar to 1.7 x 10(34) years, respectively. In this context, the neutrino masses are generated through the type I and type III seesaw mechanisms, and one predicts that the field responsible for type III seesaw must be light with a mass below 500 TeV. We discuss the testability of this theory at current and future proton decay experiments.
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Fileviez Perez, P., & Murgui, C. (2018). Sterile neutrinos and B-L symmetry. Phys. Lett. B, 777, 381–387.
Abstract: We revisit the relation between the neutrino masses and the spontaneous breaking of the B-L gauge symmetry. We discuss the main scenarios for Dirac and Majorana neutrinos and point out two simple mechanisms for neutrino masses. In this context the neutrino masses can be generated either at tree level or at quantum level and one predicts the existence of very light sterile neutrinos with masses below the eV scale. The predictions for lepton number violating processes such as μ-> e and μ-> e gamma are discussed in detail. The impact from the cosmological constraints on the effective number of relativistic degree of freedom is investigated.
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Fileviez Perez, P., & Murgui, C. (2018). Dark matter and the seesaw scale. Phys. Rev. D, 98(5), 055008–9pp.
Abstract: We discuss the possibility of finding an upper hound on the seesaw scale using the cosmological bound on the cold dark matter relic density. We investigate a simple relation between the origin of neutrino masses and the properties of a dark matter candidate in a simple theory where the new symmetry breaking scale defines the seesaw scale. Imposing the cosmological hounds, we find an upper bound of order multi-TeV on the lepton number violation scale. We investigate the predictions for direct and indirect detection dark matter experiments and the possible signatures at the Large Hadron Collider.
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Fioresi, R., Latini, E., Lledo, M. A., & Nadal, F. A. (2018). The Segre embedding of the quantum conformal superspace. Adv. Theor. Math. Phys., 22(8), 1939–2000.
Abstract: In this paper we study the quantum deformation of the superflag Fl(2 vertical bar 0, 2 vertical bar 1, 4 vertical bar 1), and its big cell, describing the complex conformal and Minkowski superspaces respectively. In particular, we realize their projective embedding via a generalization to the super world of the Segre map and we use it to construct a quantum deformation of the super line bundle realizing this embedding. This strategy allows us to obtain a description of the quantum coordinate superring of the superflag that is then naturally equipped with a coaction of the quantum complex conformal supergroup SLq (4 vertical bar 1).
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