Higgsino mass matrix ansatz for MSSM

A Fermion Mass Matrix Ansatz for the Flipped Su(5) Model∗

A fermion mass matrix ansatz is proposed in the context of Grand Unified Supersymmetric Theories (GUTs). The fermion mass matrices are evolved down to the electroweak scale by solving the renormalization group equations for the gauge and Yukawa couplings. Eight inputs are introduced at the GUT scale to predict the 13 arbitrary parameters of the Standard model. The constraints imposed by the cha...

Leptonic CP Violation Phases Using an Ansatz for the Neutrino Mass Matrix and Application to Leptogenesis

We further study the previously proposed Ansatz, Tr(Mν)=0, for a prediagonal light Majorana type neutrino mass matrix. If CP violation is neglected this enables one to use the existing data on squared mass differences to estimate (up to a discrete ambiguity) the neutrino masses themselves. If it is assumed that only the conventional CP phase is present, the Ansatz enables us to estimate this ph...

Matrix Ansatz, lattice paths and rook placements

We give two combinatorial interpretations of the Matrix Ansatz of the PASEP in terms of lattice paths and rook placements. This gives two (mostly) combinatorial proofs of a new enumeration formula for the partition function of the PASEP. Besides other interpretations, this formula gives the generating function for permutations of a given size with respect to the number of ascents and occurrence...

The Matrix Ansatz, Orthogonal Polynomials, and Permutations

In this paper we outline a Matrix Ansatz approach to some problems of combinatorial enumeration. The idea is that many interesting quantities can be expressed in terms of products of matrices, where the matrices obey certain relations. We illustrate this approach with applications to moments of orthogonal polynomials, permutations, signed permutations, and tableaux. To Dennis Stanton with admir...

Mass - matrix ansatz and constraints on B 0 s − B 0