Do neutrinos have mass only within matter?

We derive expressions for the neutrino mixing parameters that result from complex perturbations on (1) the Majorana neutrino mass matrix (in the basis of charged lepton mass eigenstates) and on (2) the charged lepton mass matrix, for arbitrary initial (unperturbed) mixing matrices. In the first case, we find that the phases of the elements of the perturbation matrix, and the initial values of the Dirac and Majorana phases, strongly impact the leading order corrections to the neutrino mixing parameters and phases. For experimentally compatible scenarios wherein the initial neutrino mass matrix has µ−τ symmetry, we find that the Dirac phase can take any value under small perturbations. Similarly, in the second case, perturbations to the charged lepton mass matrix can generate large corrections to the mixing angles and phases of the PMNS matrix. As an illustration of our generalized procedure, we apply it to a situation in which nonstandard scalar and nonstandard vector interactions simultaneously affect neutrino oscillations.

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“…In a mean field approximation, the nonstandard scalar interaction will shift elements of the neutrino mass matrix by [21],…”

Section: Neutrino Oscillations With Nonstandard Interactionsmentioning

confidence: 99%

Generalized perturbations in neutrino mixing

2015

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“…New scalar forces for neutrinos have been considered for quite some time, in the context of neutrino oscillations [10,11], neutrino dark matter [12], and neutrino clouds [13].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric theories of neutrino dark energy

Fardon

Nelson

Weiner

2006

J. High Energy Phys.

124

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“…Furthermore, several continuation works on MVN have been performed in the context of scenarios for the Sun and the solar neutrino deficit [31,32], but also in various other contexts [33][34][35][36][37][38][39][40][41][42][43][44][45]. In addition, it should be mentioned that neutrinos with variable masses have also been studied earlier than the idea of MVN [29,[46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Non-standard Hamiltonian effects on neutrino oscillations

2007

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We investigate non-standard Hamiltonian effects on neutrino oscillations, which are effective additional contributions to the vacuum or matter Hamiltonian. Since these effects can enter in either flavor or mass basis, we develop an understanding of the difference between these bases representing the underlying theoretical model. In particular, the simplest of these effects are classified as "pure" flavor or mass effects, where the appearance of such a "pure" effect can be quite plausible as a leading non-standard contribution from theoretical models. Compared to earlier studies investigating particular effects, we aim for a topdown classification of a possible "new physics" signature at future long-baseline neutrino oscillation precision experiments. We develop a general framework for such effects with two neutrino flavors and discuss the extension to three neutrino flavors, as well as we demonstrate the challenges for a neutrino factory to distinguish the theoretical origin of these effects with a numerical example. We find how the precision measurement of neutrino oscillation parameters can be altered by non-standard effects alone (not including nonstandard interactions in the creation and detection processes) and that the non-standard effects on Hamiltonian level can be distinguished from other non-standard effects (such as neutrino decoherence and decay) if we consider specific imprint of the effects on the energy spectra of several different oscillation channels at a neutrino factory.

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Do neutrinos have mass only within matter?

Cited by 20 publications

References 12 publications

Generalized perturbations in neutrino mixing

Generalized perturbations in neutrino mixing

Supersymmetric theories of neutrino dark energy

Non-standard Hamiltonian effects on neutrino oscillations

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