Numerical consistency check between two approaches to radiative corrections for neutrino masses and mixings |
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Authors: | Mrinal Kumar Das Mahadev Patgiri N Nimai Singh |
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Institution: | (1) Department of Physics, Gauhati University, 781 014 Guwahati, India;(2) Department of Physics, Cotton College, 781 001 Guwahati, India;(3) International Centre for Theoretical Physics, Strada Costiera 11, 31014 Trieste, Italy |
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Abstract: | We briefly outline the two popular approaches on radiative corrections to neutrino masses and mixing angles, and then carry
out a detailed numerical analysis for a consistency check between them in MSSM. We find that the two approaches are nearly
consistent with a discrepancy factor of 4.2% with running vacuum expectation value (VEV) (13% for scale-independent VEV) in
mass eigenvalues at low-energy scale but the predictions on mixing angles are almost consistent. We check the stability of
the three types of neutrino models, i.e., hierarchical, inverted hierarchical and degenerate models, under radiative corrections,
using both approaches, and find consistent conclusions. The neutrino mass models which are found to be stable under radiative
corrections in MSSM are the normal hierarchical model and the inverted hierarchical model with opposite CP parity. We also
carry out numerical analysis on some important conjectures related to radiative corrections in the MSSM, viz., radiative magnification
of solar and atmospheric mixings in the case of nearly degenerate model having same CP parity (MPR conjecture) and radiative
generation of solar mass scale in exactly two-fold degenerate model with opposite CP parity and non-zero Ue3 (JM conjecture). We observe certain exceptions to these conjectures. We find a new result that both solar mass scale and
Ue3 can be generated through radiative corrections at low energy scale. Finally the effect of scaledependent vacuum expectation
value in neutrino mass renormalisation is discussed |
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Keywords: | Radiative correction renormalisation group equations neutrino masses and mixing angles conjecture |
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