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A concise discussion of spin-1/2 field equations with a special focus on Majorana spinors is presented. The Majorana formalism which describes massive neutral fermions by the help of two-component or four-component spinors is of fundamental…

High Energy Physics - Theory · Physics 2010-10-28 Andreas Aste

We present a minimal inverse seesaw mechanism by resorting to a $U(1)_{B-L}$ gauge symmetry. In order to cancel the gauge anomalies, we introduce seven neutral fermions among which four participate in the inverse seesaw to induce two…

High Energy Physics - Phenomenology · Physics 2020-05-27 Pei-Hong Gu

The Majorana representation for spin operators enables efficient application of field-theoretical methods for the analysis of spin dynamics. Moreover, a wide class of spin correlation functions can be reduced to Majorana correlations of the…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Pablo Schad , Alexander Shnirman , Yuriy Makhlin

We formulate a viable low-scale seesaw model, where the masses for the standard model (SM) charged fermions lighter than the top quark emerge from a universal seesaw mechanism mediated by charged vectorlike fermions. The small light active…

High Energy Physics - Phenomenology · Physics 2019-09-04 A. E. Cárcamo Hernández , Juan Marchant González , U. J. Saldaña-Salazar

We provide theoretical evidence that the neutrino is a Majorana fermion. This evidence comes from assuming that the standard model and beyond-standard-model physics can be described through division algebras, coupled to a quantum dynamics.…

High Energy Physics - Phenomenology · Physics 2022-05-09 Vivan Bhatt , Rajrupa Mondal , Vatsalya Vaibhav , Tejinder P. Singh

Approximate Bayesian computation (ABC) using a sequential Monte Carlo method provides a comprehensive platform for parameter estimation, model selection and sensitivity analysis in differential equations. However, this method, like other…

Machine Learning · Statistics 2015-07-21 Sanmitra Ghosh , Srinandan Dasmahapatra , Koushik Maharatna

In this paper, we discover a new quantum Monte Carlo (QMC) method to solve the fermion sign problem in interacting fermion models by employing Majorana representation of complex fermions. We call it "Majorana QMC" (MQMC). Especially, MQMC…

Strongly Correlated Electrons · Physics 2015-07-22 Zi-Xiang Li , Yi-Fan Jiang , Hong Yao

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix.…

High Energy Physics - Lattice · Physics 2009-10-28 Andreas Frommer

The simulation of systems of interacting fermions is one of the most anticipated applications of quantum computers. The most interesting simulations will require a fault-tolerant quantum computer, and building such a device remains a…

Quantum Physics · Physics 2023-03-29 Kevin J. Sung , Marko J. Rančić , Olivia T. Lanes , Nicholas T. Bronn

A new non-universal abelian extension $\mathrm{G_{SM}}\otimes \mathrm{U(1)}_{X}$ to the Standard Model free from chiral anomalies is presented. The new $X$ charges distinguish among generations so as the fermion mass matrices get…

High Energy Physics - Phenomenology · Physics 2017-10-24 S. F. Mantilla , R. Martinez

We propose an experimental scheme to simulate the transverse field Ising model with cold atoms trapped in one-dimensional optical lattice. Majorana fermions are created at the ends of the optical lattice segment in topological phase. By…

This article discusses the usage of a partiton based Fubini calculus for Poisson processes. The approach is an amplification of Bayesian techniques developed in Lo and Weng for gamma/Dirichlet processes. Applications to models are…

Probability · Mathematics 2007-05-23 Lancelot F. James

We review recent progress towards automated higher-order calculations in the MSSM with complex parameters (cMSSM). The consistent renormalization of all relevant sectors of the cMSSM and the inclusion into the FeynArts/FormCalc framework…

High Energy Physics - Phenomenology · Physics 2014-07-02 T. Hahn , S. Heinemeyer , F. von der Pahlen , H. Rzehak , C. Schappacher

The Fortran code SDECAY calculates the decay widths and branching ratios of all supersymmetric (SUSY) particles in the Minimal Supersymmetric Standard Model (MSSM), including higher order effects. The usual two-body decays of sfermions and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Muhlleitner

We present a new predictive approach based on SUSY $SO(10)$ theory. The inter-family hierarchy is first generated in the sector of hypothetical superheavy fermions and then transfered inversely to ordinary quarks and leptons by means of the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Zurab G. Berezhiani

We propose an easy-to-build easy-to-detect scheme for realizing Majorana fermions at the ends of a chain of magnetic atoms on the surface of a superconductor. Model calculations show that such chains can be easily tuned between trivial and…

Superconductivity · Physics 2013-07-30 S. Nadj-Perge , I. K. Drozdov , B. A. Bernevig , Ali Yazdani

As an alternative to the popular balanced truncation method, the cross Gramian matrix induces a class of balancing model reduction techniques. Besides the classical computation of the cross Gramian by a Sylvester matrix equation, an…

Optimization and Control · Mathematics 2016-06-14 Christian Himpe , Mario Ohlberger

SOFTSUSY is a program which accurately calculates the spectrum of superparticles in the CP-conserving Minimal Supersymmetric Standard Model (MSSM), with a full flavour mixing structure. The program solves the renormalisation group equations…

High Energy Physics - Phenomenology · Physics 2012-07-31 B. C. Allanach

Most SUSY searches at the LHC are optimised for the MSSM, where gauginos are Majorana particles. By introducing Dirac gauginos, we obtain an enriched phenomenology, from which considerable differences in the LHC signatures and limits are…

High Energy Physics - Phenomenology · Physics 2019-10-29 Guillaume Chalons , Mark Goodsell , Sabine Kraml , Humberto Reyes-González , Sophie L. Williamson

Generating appropriate tiny neutrino masses via inverse seesaw mechanism within the framework of a particular SU(3)xSU(4)xU(1) gauge model is the main outcome of this letter. It is achieved by simply adding three singlet exotic Majorana…

High Energy Physics - Phenomenology · Physics 2017-03-06 Adrian Palcu