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Existence of Neutrino Mass : A New Mathematical Formulation

Authors(1) :-Indranath Bhattacharyya

It is assumed that there exists a transformation law, even in the standard model framework, that transforms mass eigen states of neutrino to the flavour eigen states. The transformation matrix from mass eigen states to flavor states is assumed to be singular and therefore becomes unable to generate any mass of the neutrino. It is considered that a small deviation from that singular matrix leads to unitary PMNS matrix, which is able to diagonalize the mass matrix. A formulation is done to indicate the possible spontaneous symmetry breaking which can generate physical neutrino mass in eV scale. A mapping between symmetry transformations and a set of real numbers (0,k) is defined on the backdrop of the neutrino mass generation.
Indranath Bhattacharyya
Neutrino mass, Beyond Standard Model, CKM Matrix, Mass and flavor eigen states of neutrinos
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Publication Details
  Published in : Volume 4 | Issue 2 | January-February 2018
  Date of Publication : 2018-02-28
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 30-32
Manuscript Number : IJSRST18415
Publisher : Technoscience Academy
PRINT ISSN : 2395-6011
ONLINE ISSN : 2395-602X
Cite This Article :
Indranath Bhattacharyya, "Existence of Neutrino Mass : A New Mathematical Formulation", International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 4, Issue 2, pp.30-32, January-February-2018
URL : http://ijsrst.com/IJSRST18415