Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance

Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance

Recent SNO results strongly favour the large mixing angle (LMA) MSW solar solution. We argue that there are only two technically natural low energy neutrino mass matrix structures consistent with the LMA MSW solution, corresponding to either a hierarchy or an inverted hierarchy with pseudo-Dirac neutrinos. We construct the MNS matrix to leading order in the small angle ?13 including the neutrino and charged lepton mixing angles and phases, the latter playing a crucial rôle for allowing the inverted hierarchy case to be consistent with the LMA MSW solution. We then consider the see-saw mechanism with right-handed neutrino dominance and show how the successful neutrino mass matrix structures may be constructed with no tuning and with small radiative corrections, leading to a full, partial or inverted neutrino mass hierarchy. In each case we derive approximate analytic relations between the input see-saw parameters and the resulting neutrino masses, mixing angles and phases, which will provide a useful guide for unified model building. For the hierarchical cases the LMA MSW solution gives a soft lower bound |Ue3| ? 0.1, just below the current CHOOZ limit. Both hierarchical and inverted hierarchical cases predict small ??0? with |mee| ~ 0.007 eV within the sensitivity of future proposals such as GENIUS. Successful leptogenesis is possible if the dominant right-handed neutrino is the heaviest one, but the leptogenesis phase is unrelated to the MNS phases.

neutrino physics, beyond standard model

1-41

King, S.

f8c616b7-0336-4046-a943-700af83a1538

11 September 2002

King, S.

f8c616b7-0336-4046-a943-700af83a1538

King, S.
(2002)
Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance.
*Journal of High Energy Physics*, 209 (2002), .
(doi:10.1088/1126-6708/2002/09/011).

## Abstract

Recent SNO results strongly favour the large mixing angle (LMA) MSW solar solution. We argue that there are only two technically natural low energy neutrino mass matrix structures consistent with the LMA MSW solution, corresponding to either a hierarchy or an inverted hierarchy with pseudo-Dirac neutrinos. We construct the MNS matrix to leading order in the small angle ?13 including the neutrino and charged lepton mixing angles and phases, the latter playing a crucial rôle for allowing the inverted hierarchy case to be consistent with the LMA MSW solution. We then consider the see-saw mechanism with right-handed neutrino dominance and show how the successful neutrino mass matrix structures may be constructed with no tuning and with small radiative corrections, leading to a full, partial or inverted neutrino mass hierarchy. In each case we derive approximate analytic relations between the input see-saw parameters and the resulting neutrino masses, mixing angles and phases, which will provide a useful guide for unified model building. For the hierarchical cases the LMA MSW solution gives a soft lower bound |Ue3| ? 0.1, just below the current CHOOZ limit. Both hierarchical and inverted hierarchical cases predict small ??0? with |mee| ~ 0.007 eV within the sensitivity of future proposals such as GENIUS. Successful leptogenesis is possible if the dominant right-handed neutrino is the heaviest one, but the leptogenesis phase is unrelated to the MNS phases.

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## More information

Submitted date: 7 May 2002

Published date: 11 September 2002

Additional Information:
JHEP09(2002)011

Keywords:
neutrino physics, beyond standard model

## Identifiers

Local EPrints ID: 40523

URI: http://eprints.soton.ac.uk/id/eprint/40523

PURE UUID: 22d7f768-e0dd-4fe8-9956-ab13f0658d4a

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Date deposited: 04 Jul 2006

Last modified: 30 Jul 2019 17:46

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