2010/04/30 by Rohit Verma, Gulsheen Ahuja, Neelu Mahajan +2 · 22 citations
Mathematics · Physics and Astronomy · #Geometry #Hermitian matrix #Hierarchy #Mathematics #Mixing (physics) #Neutrino Physics Research #Parameter space #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Zero (linguistics) #hep-ph
paper · pdf · doi:10.1088/0954-3899/37/7/075020
published in Journal of Physics G Nuclear and Particle Physics 37(7), 075020 (IOP Publishing) · 13 pages, 4 figures, version accepted for publication in Journal Of Physics G
arxiv created 2010/04/30 · openalex publication_date 2010/06/02 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have attempted to extend the parameter space of the elements of the texture 4 zero Hermitian quark mass matrices, to include the case of `weak hierarchy' amongst them along with the usually considered `strong hierarchy' case. This has been carried out by giving wide variation to the hierarchy defining parameters DU and DD, having implications for the structural features of the mass matrices. We find that not only the weakly hierarchical mass matrices are able to reproduce the strongly hierarchical mixing angles but also both the phases having their origin in the mass matrices have to be non zero to achieve compatibility of these matrices with recent quark mixing data. Further noting the difference between the exclusive and inclusive values of Vub, we have carried out separate analyses corresponding to these.