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We prove the universality of the joint distribution of an eigenvalue and the corresponding diagonal eigenvector overlap, in the bulk and at the edge, for eigenvalues of complex matrices and real eigenvalues of real matrices. As part of the…

Probability · Mathematics 2025-01-03 Mohammed Osman

A generic form of the supersymmetric SM naturally gives rise to the lepton number violating neutrino masses and mixings, without the need for extra superfields beyond the minimal spectrum. Hence, SUSY can be consider the origin of beyond SM…

High Energy Physics - Phenomenology · Physics 2017-08-23 Otto C. W. Kong

We discuss the possibility of performing precise tests of $\mu/e$ universality in $B \to\pi \ell^+\ell^-$ decays. We show that in wide regions of the dilepton invariant mass spectrum the ratio between muonic and electronic decay widths can…

High Energy Physics - Phenomenology · Physics 2021-10-13 Marzia Bordone , Claudia Cornella , Gino Isidori , Matthias König

Random-matrix theory is used to study the mesoscopic fluctuations of the excitation gap in a metal grain or quantum dot induced by the proximity to a superconductor. We propose that the probability distribution of the gap is a universal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. G. Vavilov , P. W. Brouwer , V. Ambegaokar , C. W. J. Beenakker

The problem of diagonalizing a class of complicated matrices, to be called ultrametric matrices, is investigated. These matrices appear at various stages in the description of disordered systems with many equilibrium phases by the technique…

Condensed Matter · Physics 2009-10-22 T. Temesvari , C De Dominicis , I. Kondor

We discuss some fundamental concerns regarding the recent proposal of Dimopoulos and Giudice for dynamically aligning the soft masses of the sfermions in the minimal supersymmetric standard model (MSSM) with the corresponding fermion masses…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Rattazzi , U. Sarid

Statistical properties of non--symmetric real random matrices of size $M$, obtained as truncations of random orthogonal $N\times N$ matrices are investigated. We derive an exact formula for the density of eigenvalues which consists of two…

Statistical Mechanics · Physics 2010-10-21 Boris A. Khoruzhenko , Hans-Juergen Sommers , Karol Zyczkowski

We develop a supersymmetric field theoretical description of the Gaussian ensemble of the almost diagonal Hermitian Random Matrices. The matrices have independent random entries H_{ij} with parametrically small off-diagonal elements…

Disordered Systems and Neural Networks · Physics 2016-09-07 Oleg Yevtushenko , Alexander Ossipov

There are many models with non-universal soft SUSY breaking sfermion mass parameters at the grand unification scale. Even in the mSUGRA model scalar mass unification might occur at a scale closer to M_Planck, and renormalization effects…

High Energy Physics - Phenomenology · Physics 2009-10-31 Howard Baer , Csaba Balazs , Stefan Hesselbach , J. Kenichi Mizukoshi , Xerxes Tata

High-precision analyses are presented for the production of scalar sleptons, selectrons and smuons in supersymmetric theories, at future e+e- and e-e- linear colliders. Threshold production can be exploited for measurements of the selectron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Freitas , A. von Manteuffel , P. M. Zerwas

We examine the case of neutralino dark matter in the focus point region of the MSSM, in which the scalar sparticles are too heavy to be produced at the LHC. Whilst it has been previously asserted that the LHC alone would fail to constrain…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. J. White , F. Feroz

A fairly general procedure is studied to perturbate a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non-symmetric densities. The approach is general enough to encompass a number of…

Methodology · Statistics 2009-11-13 Adelchi Azzalini , Antonella Capitanio

Universality of local eigenvalue statistics is one of the most striking phenomena of Random Matrix Theory, that also accounts for a lot of the attention that the field has attracted over the past 15 years. In this paper we focus on the…

Probability · Mathematics 2015-10-29 Thomas Kriecherbauer , Kristina Schubert

We study the effect of SUSY phases on rare decays of leptons and on their magnetic and electric dipole moments. We consider the most general mass matrices for sleptons within the MSSM including left--right mixing, flavour mixing and complex…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Bartl , W. Majerotto , W. Porod , D. Wyler

We present an in-depth study of the universal correlations of scattering-matrix entries required in the framework of non-stationary many-body scattering where the incoming states are localized wavepackets. Contrary to the stationary case…

Statistical Mechanics · Physics 2021-05-19 Andreas Bereczuk , Barbara Dietz , Jiongning Che , Jack Kuipers , Juan-Diego Urbina , Klaus Richter

Advantages of the e-e- option at linear colliders for the study of supersymmetry are highlighted. The fermion number violating process $e^- e^- \to \selectron^- \selectron^-$ provides unique opportunities for studies of slepton masses and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jonathan L. Feng

We study a variety of different texture patterns in the basis in which the charged lepton mass matrix or neutrino mass matrix or neither are diagonal. The experimental results on the neutrinos provide sufficient restrictions to allow only a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bipin R. Desai , Utpal Sarkar , Alexander R. Vaucher

We show that there exist nonlinearly realised duality symmetries that are independent of the standard supergravity global symmetries, and which provide active spectrum-generating symmetries for the fundamental BPS solitons. The additional…

High Energy Physics - Theory · Physics 2009-10-07 E. Cremmer , H. Lu , C. N. Pope , K. S. Stelle

In supersymmetric scenarios with a long-lived stau, the LHC experiments provide us with a great environment for precise mass measurements of superparticles. We study a case in which the mass differences between the lightest stau and other…

High Energy Physics - Phenomenology · Physics 2014-11-20 Takumi Ito , Ryuichiro Kitano , Takeo Moroi

At future e+- e- linear colliders, the event rates and clean signals of scalar fermion production - in particular for the scalar leptons - allow very precise measurements of their masses and couplings and the determination of their quantum…

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