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This article is dedicated to the following class of problems. Start with an $N\times N$ Hermitian matrix randomly picked from a matrix ensemble - the reference matrix. Applying a rank-$t$ perturbation to it, with $t$ taking the values $1\le…

Statistical Mechanics · Physics 2020-12-30 Barbara Dietz , Holger Schanz , Uzy Smilansky , Hans Weidenmüller

Spontaneous collapse models aim to solve the long-standing measurement problem in quantum mechanics by modifying the theory's dynamics to include objective wave function collapses. These collapses occur randomly in space, bridging the gap…

Quantum Physics · Physics 2025-07-23 Nicolò Piccione , Angelo Bassi

The present work aims to study an extension of the Standard Model (SM) that addresses the prominent SM shortcomings, i.e., can explain the neutrino mass, the dark matter (DM) content, and the matter-antimatter asymmetry of the Universe. The…

High Energy Physics - Phenomenology · Physics 2025-04-15 Laura Covi , Shyamashish Dey , Sarif Khan , Santosh Kumar Rai

The mass function of dark matter halos is one of the most fundamental statistics in structure formation. Many theoretical models (such as Press-Schechter theory) are based on the notion that it could be universal, meaning independent of…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Benedikt Diemer

We discuss issues in a scenario that hierarchical Yukawa couplings are generated through strong dynamics of superconformal field theories (SCFTs). Independently of mediation mechanism of supersymmetry breaking, infrared convergence property…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tatsuo Kobayashi , Hiroaki Nakano , Tatsuya Noguchi , Haruhiko Terao

The large-scale statistics of observables such as the galaxy density are chiefly determined by their dependence on the local coarse-grained matter density. This dependence can be measured directly and efficiently in N-body simulations by…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Christian Wagner , Fabian Schmidt , Chi-Ting Chiang , Eiichiro Komatsu

The goal of this article is to study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations -- or in other words, to investigate optimal rigidity estimates for the eigenvalues. We do this in…

Probability · Mathematics 2019-06-05 Tom Claeys , Benjamin Fahs , Gaultier Lambert , Christian Webb

We present for the first time a model-independent anatomy of the ratio $\varepsilon'/\varepsilon$ in the context of the $\Delta S = 1$ effective theory with operators invariant under QCD and QED and in the context of the Standard Model…

High Energy Physics - Phenomenology · Physics 2019-08-08 Jason Aebischer , Christoph Bobeth , Andrzej J. Buras , David M. Straub

We study the diagonals of two-dimensional tilings generated by direct product substitutions. The properties of these diagonals are primarily determined by the eigenvalues of the substitution matrix, but also the order of the letters in the…

Dynamical Systems · Mathematics 2013-02-18 Michel Dekking

We analyze the possibility of universality violation in diagonal leptonic decays of the $Z$ boson, in the context of interfamily "see-saw" models. In a minimal extension of the Standard Model with right-handed neutrino fields, we find that…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Bernabeu , J. Korner , A. Pilaftsis , K. Schilcher

We study orthogonal and symplectic matrix models with polynomial potentials and multi interval supports of the equilibrium measure. For these models we find the bounds (similar to the case of hermitian matrix models) for the rate of…

Mathematical Physics · Physics 2015-05-18 M. Shcherbina

We study a possibility to detect sleptons at post-WMAP benchmark points at LHC(CMS). We find that at $L_{tot}=30 fb^{-1}$ it would be possible to detect sleptons at points A, B, C, D, G. We also investigate the production and decays of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yu. M. Andreev , S. I. Bityukov , N. V. Krasnikov

A simple extension of the minimal supersymmetric standard model in which baryon and lepton numbers are local gauge symmetries spontaneously broken at the supersymmetry scale is reported. This theory provides a natural explanation for proton…

High Energy Physics - Phenomenology · Physics 2015-07-09 Bartosz Fornal

Supersymmetric theories involving a spontaneously broken flavor symmetry can solve the flavor-changing problem while having quark and lepton masses derived from both $F$ and $D$ terms. As an example, a theory of leptons is constructed in…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. Arkani-Hamed , H-C Cheng , L. J Hall

Given a real-valued positive semidefinite matrix, Williamson proved that it can be diagonalised using symplectic matrices. The corresponding diagonal values are known as the symplectic spectrum. This paper is concerned with the stability of…

Spectral Theory · Mathematics 2016-09-07 Martin Idel , Sebatian Soto Gaona , Michael M. Wolf

Scalar Non-Standard Interactions (SNSI) in neutrinos can arise when a scalar mediator couples to both neutrinos and standard model fermions. This beyond the Standard Model (BSM) scenario is particularly interesting as the SNSI contribution…

High Energy Physics - Phenomenology · Physics 2024-10-08 Dharitree Bezboruah , Dibya S. Chattopadhyay , Abinash Medhi , Arnab Sarker , Moon Moon Devi

We prove the universality of the large deviations for conjugacy invariant permutations with few cycles. As an application, we establish the universality of large deviation at speeds $n$ and $\sqrt{n}$ for the length of monotone subsequences…

Combinatorics · Mathematics 2025-04-24 Alice Guionnet , Mohamed Slim Kammoun

Most signatures of new physics in colliders have been studied so far on the transverse plane with respect to the beam direction. In this work however we study the impact of a hidden sector beyond the Standard Model (SM) on inclusive…

High Energy Physics - Phenomenology · Physics 2014-09-19 Miguel-Angel Sanchis-Lozano , Edward Sarkisyan-Grinbaum

Anomaly mediation of supersymmetry breaking solves the supersymmetric flavor problem thanks to its ultraviolet-insensitivity. However, it suffers from two problems: sleptons have negative masses-squared, and there are likely bulk moduli…

High Energy Physics - Phenomenology · Physics 2009-11-07 Roni Harnik , Hitoshi Murayama , Aaron Pierce

The unitarity of the lepton mixing matrix is a critical assumption underlying the standard neutrino-mixing paradigm. However, many models seeking to explain the as-yet-unknown origin of neutrino masses predict deviations from unitarity in…

High Energy Physics - Phenomenology · Physics 2020-12-16 Sebastian A. R. Ellis , Kevin J. Kelly , Shirley Weishi Li
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