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A SeeSaw Mechanism with light sterile neutrinos
, 2008
"... The usual seesaw mechanism for the generation of light neutrino masses is based on the assumption that all of the flavours of righthanded (more properly, sterile) neutrinos are heavy 1. If the sterile Majorana mass matrix is singular, one or more of the sterile neutrinos will have zero mass before ..."
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before mixing with the active (lefthanded) neutrinos and be light after that mixing is introduced. In particular, a rank 1 sterile mass matrix leads naturally to two pseudoDirac pairs, one very light active Majorana neutrino and one heavy sterile Majorana neutrino. For any pattern of Dirac masses
A SeeSaw Mechanism with light sterile neutrinos
, 2008
"... The usual seesaw mechanism for the generation of light neutrino masses is based on the assumption that all of the flavours of righthanded (more properly, sterile) neutrinos are heavy. If the sterile Majorana mass matrix is singular, one or more of the sterile neutrinos will have zero mass before m ..."
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mixing with the active (lefthanded) neutrinos and be light after that mixing is introduced. In particular, a rank 1 sterile mass matrix leads naturally to two pseudoDirac pairs, one very light active Majorana neutrino and one heavy sterile Majorana neutrino. For any pattern of Dirac masses
SACLAYT02/015 LARGE SOLAR ANGLE AND SEESAW MECHANISM: A BOTTOMUP PERSPECTIVE
, 2002
"... In addition to the well established large atmospheric angle, a large solar angle is probably present in the leptonic sector. In the context of the seesaw and by means of a bottomup approach, we explore which patterns for the Dirac and Majorana righthanded mass matrices provide two large mixings i ..."
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in a robust way and with the minimal amount of tuning. Three favourite patterns emerge, which have a suggestive physical interpretation in terms of the role played by righthanded neutrinos: in both solar and atmospheric sectors, either a single or a pseudoDirac pair of righthanded neutrinos
Phenomenology of Pseudo Dirac Neutrinos
, 2000
"... We formulate general conditions on 3 × 3 neutrino mass matrices under which a degenerate pair of neutrinos at a high scale would split at low scale by radiative corrections involving only the standard model fields. This generalizes the original observations of Wolfenstein on pseudo Dirac neutrinos t ..."
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We formulate general conditions on 3 × 3 neutrino mass matrices under which a degenerate pair of neutrinos at a high scale would split at low scale by radiative corrections involving only the standard model fields. This generalizes the original observations of Wolfenstein on pseudo Dirac neutrinos
Bottomup model for maximal νµ − ντ mixing
, 2000
"... We construct a model which provides maximal mixing between a pseudoDirac νµ/ντ pair, based on a local U(1)Lµ−Lτ symmetry. Its strengths, weaknesses and phenomenological consequences are examined. The mass gap necessitated by the pseudoDirac structure is most naturally associated with the LSND anom ..."
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We construct a model which provides maximal mixing between a pseudoDirac νµ/ντ pair, based on a local U(1)Lµ−Lτ symmetry. Its strengths, weaknesses and phenomenological consequences are examined. The mass gap necessitated by the pseudoDirac structure is most naturally associated with the LSND
LPTOrsay1432 SISSA 35/2014/FISI Dark Matter in the minimal Inverse Seesaw mechanism
"... We consider the possibility of simultaneously addressing the dark matter problem and neutrino mass generation in the minimal inverse seesaw realisation. The Standard Model is extended by two righthanded neutrinos and three sterile fermionic states, leading to three light active neutrino mass eigens ..."
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eigenstates, two pairs of (heavy) pseudoDirac mass eigenstates and one (mostly) sterile state with mass around the keV, possibly providing a dark matter candidate, and accounting for the recently observed and still unidentified monochromatic 3.5 keV line in galaxy cluster spectra. The conventional production
Resonant leptogenesis in a predictive SO(10) grand unified model
 Phys. Rev
"... An SO(10) grand unified model considered previously by the authors featuring lopsided down quark and charged lepton mass matrices is successfully predictive and requires that the lightest two righthanded Majorana neutrinons be nearly degenerate in order to obtain the LMA solar neutrino solution. He ..."
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Cited by 3 (0 self)
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leading to three pairs of massive pseudoDirac neutrinos, resonant leptogenesis is decoupled from the neutrino mass and mixing issues with successful baryogenesis easily obtained.
THE ELECTROWEAK AND COLOR BUNDLES FOR THE STANDARD MODEL IN A GRAVITATION FIELD.
, 2006
"... Abstract. It is known that the Standard Model describing all of the currently known elementary particles is based on the U(1)×SU(2)×SU(3) symmetry. In order to implement this symmetry on the ground of a nonflat spacetime manifold one should introduce three special bundles. Some aspects of the math ..."
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Cited by 4 (3 self)
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: (1) a pseudoEuclidean Minkowskitype metric g; (2) an orientation; (3) a polarization (see details in [4]). The Dirac bundle DM is linked to the above three structures through frame pairs. The most popular frame pairs are listed in the following table: Canonically orthonormal chiral frames
Pure Spinors on Lie groups
, 2007
"... For any manifold M, the direct sum TM = TM ⊕T ∗ M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for the corresponding Clifford bundle, and in particular there is a notion of pure spinor. In this paper, we study pure ..."
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Cited by 4 (1 self)
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spinors and Dirac structures in the case when M = G is a Lie group with a biinvariant pseudoRiemannian metric, e.g. G semisimple. The applications of our theory include the construction of distinguished volume forms on conjugacy classes in G, and a new approach to the theory of quasiHamiltonian Gspaces.
Cyclic homology and the AtiyahPatodiSinger index theorem
 In Index theory and operator algebras
, 1991
"... Abstract. We apply the boundary pseudodifferential calculus of Melrose to study the Chern character in entire cyclic homology of the Dirac operator of a manifold with boundary. Recently, Melrose has proved the AtiyahPatodiSinger index theorem using a calculus of pseudodifferential operators for ma ..."
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Cited by 14 (0 self)
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Abstract. We apply the boundary pseudodifferential calculus of Melrose to study the Chern character in entire cyclic homology of the Dirac operator of a manifold with boundary. Recently, Melrose has proved the AtiyahPatodiSinger index theorem using a calculus of pseudodifferential operators
Results 1  10
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27