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Understanding the limiting behavior of eigenvalues of random matrices is the central problem of random matrix theory. Classical limit results are known for many models, and there has been significant recent progress in obtaining more…

Probability · Mathematics 2017-09-05 Elizabeth S. Meckes , Mark W. Meckes

A description of scalar charged particles, based on the Feshbach-Villars formalism, is proposed. Particles are described by an object that is a Wigner function in usual coordinates and momenta and a density matrix in the charge variable. It…

Quantum Physics · Physics 2009-11-07 B. I. Lev , A. A. Semenov , C. V. Usenko

It is well known that the differences between the lepton numbers can be gauged with the Standard Model matter content. Such extended gauge theories, dubbed as the gauged U(1)$_{L_\alpha - L_\beta}$ models, have been widely discussed so far…

High Energy Physics - Phenomenology · Physics 2019-03-29 Kento Asai , Koichi Hamaguchi , Natsumi Nagata , Shih-Yen Tseng , Koji Tsumura

If neutrino masses are obtained via the canonical seesaw mechanism, based on an underlying 2X2 mass matrix, unitarity violation of the neutrino mixing matrix is unavoidable, but its effect is extremely small. On the other hand, in the…

High Energy Physics - Phenomenology · Physics 2010-11-15 Ernest Ma

We present a minimal see-saw model based on an extension of the standard model (SM) which includes an additional U(1), with gauge charge $B - \frac{3}{2} (L_\mu + L_\tau)$. Requirement of anomaly cancellation implies the existence of two…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ernest Ma , D. P. Roy

In type III seesaw utilized to explain the observed solar and atmospheric neutrino oscillations the Standard Model (SM) particle spectrum is extended by introducing three SU(2)_L triplet fermion fields. This can have important implications…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ilia Gogoladze , Nobuchika Okada , Qaisar Shafi

The Casas-Ibarra (CI) parametrization of the Yukawa coupling matrix of Majorana neutrinos is generalized by considering the exact seesaw relation and including non-unitarity of the $3 \times 3$ Pontecorvo-Maki-Nakagawa-Sakata (PMNS) flavor…

High Energy Physics - Phenomenology · Physics 2024-10-16 Zhi-zhong Xing

In the framework of the seesaw mechanism, and adopting a typical form for the Dirac neutrino mass matrix, we discuss the impact of minimal forms of the Majorana neutrino mass matrix. These matrices contain four or three texture zeros and…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Falcone

In this letter we address the issue of generating appropriate tiny neutrino masses within the framework of a particular $SU(3)_{c}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge model by adding three singlet exotic Majorana neutrinos to the ones…

High Energy Physics - Phenomenology · Physics 2016-04-05 Adrian Palcu

We discussed neutrino masses and mixings in SUSY SO(10) model where quarks and leptons have Yukawa couplings to at least two 10 and one $\bar{126}$ Higgs scalars. In this model, the Dirac and the right-handed Majorana mass terms are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kin-ya Oda , Eiichi Takasugi , Minoru Tanaka , Masaki Yoshimura

We present a model for the observed hierarchies among the Yukawa couplings of the standard model in the context of an effective low energy theory with an anomalous U(1) symmetry. This symmetry, a generic feature of superstring…

High Energy Physics - Phenomenology · Physics 2009-10-30 John K. Elwood , Nikolaos Irges , Pierre Ramond

A previous short analysis of the seesaw mechanism, based on quark-lepton symmetry, experimental data and hierarchical neutrino spectrum, is enlarged to include small but not zero U_{e3}, inverted mass hierarchy, and the qualitative effect…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Falcone

We present a supersymmetric standard model with three gauged Abelian symmetries, of a type commonly found in superstrings. One is anomalous, the other two are $E_6$ family symmetries. It has a vacuum in which only these symmetries are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nikolaos Irges , Stephane Lavignac , Pierre Ramond

Analogous to the famous Euler angle parametrization in three-dimensional Euclidean space, a reflection-free Lorentz transformation in (2+1)-dimensional Minkowski space can be decomposed into three simple parts. Applying this decomposition…

Classical Physics · Physics 2023-12-29 Leehwa Yeh

We present an effective Lagrangian parameterization describing scalar, vector, and axial-vector bound states, originating from a strong breaking of the electroweak symmetry, based on the global symmetry $SU(N)_L\otimes SU(N)_R$. In this…

High Energy Physics - Phenomenology · Physics 2015-05-18 R. Casalbuoni , A. Deandrea , S. De Curtis , N. Di Bartolomeo , D. Dominici , F. Feruglio , R. Gatto

Extensions of the Standard Model are required to give mass to the light neutrinos and explain neutrino oscillations. One of the simplest ideas is to introduce new heavy, gauge singlet fermions that play the role of right-handed neutrinos in…

High Energy Physics - Phenomenology · Physics 2019-03-08 J. Baglio , C. Weiland

Nonzero masses for the active neutrinos - regardless of their nature or origin - arise only after electroweak symmetry breaking. We discuss the parameterization of neutrino couplings to a Higgs sector consisting of one SU(2)_L scalar…

High Energy Physics - Phenomenology · Physics 2011-09-08 Andre de Gouvea , Wei-Chih Huang , Shashank Shalgar

We propose a new $\mathrm{SU}(3)_C \otimes \mathrm{SU}(2)_{L}\otimes \mathrm{U}(1)_{Y}\otimes \mathrm{U}(1)_{X}$ gauge model which is non universal respect to the three fermion families of the Standard Model. We introduce additional one…

High Energy Physics - Phenomenology · Physics 2018-08-22 R. Martinez , S. F. Mantilla

We study the possibility of realizing the neutrino seesaw mechanism in the E8XE8 heterotic string. In particular, we consider its Z_6 orbifold compactifications leading to the supersymmetric standard model gauge group and matter content. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wilfried Buchmuller , Koichi Hamaguchi , Oleg Lebedev , Saul Ramos-Sanchez , Michael Ratz

We propose a natural realization of inverse seesaw model with right-handed and flavor dependent $U(1)$ gauge symmetries, in which we formulate the neutrino mass matrix to reproduce current neutrino oscillation data in a general way. Also we…

High Energy Physics - Phenomenology · Physics 2018-08-21 Takaaki Nomura , Hiroshi Okada