Neutrinos with Lorentz-violating operators of arbitrary dimension

Kostelecký, V. Alan; Mewes, Matthew

doi:10.1103/physrevd.85.096005

Cited by 308 publications

(453 citation statements)

References 186 publications

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“…This result verifies that Lorentz-violating neutrinoless double beta decay only depends on the coefficient g (4)λρσ Ma ′ā′ , which also controls CPT violation. The result above can be shown to be valid for operators of arbitrary dimension; nevertheless, in this work we only describe the effects of operators of lowest dimension, in this case d = 4 [27].…”

Section: Neutrinoless Double Beta Decaymentioning

confidence: 99%

“…Using the SME lagrangian [27] and neglecting Dirac couplings, the relevant propagator can be written at leading order as are Majorana couplings in the neutrino sector of the SME. The indices a ′ā′ indicate that the coefficients are written in the basis of neutrino eigenstates, with a ′ = 1, 2, 3.…”

Section: Neutrinoless Double Beta Decaymentioning

confidence: 99%

“…Operators of arbitrary dimension in the theory can be studied using the methods introduced in Ref. [27]. Nonetheless, of particular interest are those whose observable effects escape detection through sensitive measurements such as neutrino oscillations and time of flight.…”

Section: Introductionmentioning

confidence: 99%

“…Nonetheless, of particular interest are those whose observable effects escape detection through sensitive measurements such as neutrino oscillations and time of flight. These so-called countershaded effects [7,28] arise due to oscillation-free operators of mass dimension three, whose effects are controlled by the four independent components of the coefficient denoted (a (3) of ) α [27].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Limits on Lorentz andCPTviolation from double beta decay

Díaz

2014

Phys. Rev. D

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Deviations from Lorentz and CPT invariance in the neutrino sector and their observable effects in double beta decay are studied. For two-neutrino double beta decay, a spectral distortion and its properties are characterized for different isotopes. Majorana couplings for Lorentz violation are studied and shown to trigger neutrinoless double beta decay even for negligible Majorana mass. Existing data are used to obtain first limits of 5 × 10 −9 for 18 individual coefficients and attainable sensitivities in current and future experiments are presented.

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Section: Neutrinoless Double Beta Decaymentioning

confidence: 99%

Section: Neutrinoless Double Beta Decaymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Limits on Lorentz andCPTviolation from double beta decay

Díaz

2014

Phys. Rev. D

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“…The effects of LV on atmospheric neutrinos may manifest as sidereal variations in their oscillations or as distortions in the oscillated spectra [26,27,28]. Super-K has undergone a search for the latter within the framework of the standard model extension (SME) [24], an observer independent effective field theory which contains the standard model, general relativity, and all possible LV operators.…”

Section: Lorentz Violation In Neutrino Oscillationsmentioning

confidence: 99%

Atmospheric results from Super-Kamiokande

Wendell¹

2015

AIP Conference Proceedings

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Abstract. Recent results from a 282 kiloton-year exposure of the Super-Kamiokande detector to atmospheric neutrinos are presented. The data when fit both by themselves and in conjunction with constraints from the T2K and reactor neutrino experiments show a weak, though insignificant, preference for the normal mass hierarchy at the level of∼ 1σ . Searches for evidence of oscillations into a sterile neutrino have resulted in limits on the parameters governing their mixing, |U μ4 | 2 < 0.041 and |U τ4 | 2 < 0.18 at 90% C.L. A similar search for an indication of Lorentz-invariance violating oscillations has yielded limits three to seven orders of magnitude more stringent than existing measurements. Additionally, analyses searching for an excess of neutrinos in the atmospheric data produced from the annihilation of dark matter particles in the galaxy and sun have placed tight limits on the cross sections governing their annihilation and scattering.

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From Dirac theories in curved space‐times to a variation of Dirac's large–number hypothesis

Jentschura

2014

Annalen der Physik

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Some physicists, even today, may think that it is impossible to connect relativistic quantum mechanics and general relativity [1][2][3]. This impression, however, is false, as demonstrated, among many other recent works, in an article published not long ago in this journal [4]. In order to understand the subtlety, let us remember the meaning of first [5,6], second [7,8], and third quantization (see Refs. [9][10][11]). In first quantization, what was previously a well-defined particle trajectory now becomes smeared and defines a probability density of the quantum mechanical particle. In second quantization, what was previously a well-defined functional value of a physical field at a given space-time point now becomes a field operator, which is subject to quantum fluctuations. E.g., quantum fluctuations about the flat space-time metric can be expressed in terms of the graviton field operator, for which an explicit expression can be found in Eq. (5) of Ref. [8].In third quantization, what was previously a well-defined space-time point now becomes an operator, defining a conceivably noncommutative entity, which describes space-time quantization. E.g., the emergence of the noncommutative Moyal product in quantized string theory is discussed in a particularly clear exposition in Ref. [11], in the derivation leading to Eq. (32) We thus observe that space-time quantization is not necessary, a priori, in order to combine general relativity and quantum mechanics. Indeed, before we could ever conceive to observe effects due to space-time quantization, we should first consider the leading-order coupling of the Dirac particle to a curved spacetime. Space-time curvature is visible on the classical level, and can be treated on the classical level [3]. Deviations from perfect Lorentz symmetry caused by effects other than space-time curvature may result in conceivable anisotropies of spacetime; they have been investigated by Kostelecky et al. in a series of papers (see Refs. [13][14][15] and references therein) and would be visible in tiny deviations of the dispersion relations of the relativistic particles from the predictions of Dirac theory. Measurements on neutrinos [15] can be used in order to constrain the Lorentz-violating parameters. Other recent studies concern the modification of gravitational effects under slight global violations of Lorentz symmetry [16]. Brill and Wheeler [17] were among the first to study the gravitational interactions of Dirac particles, and they put a special emphasis on neutrinos. The motivation can easily be guessed: Neutrinos, at the time, were thought to be massless and transform according to the fundamental ( ) representations of the Lorentz group. Yet, their interactions have a profound impact on cosmology [18]. Being (almost) massless, their gravitational interactions can, in principle, only be formulated on a fully relativistic footing. This situation illustrates a pertinent dilemma: namely, the gravitational potential, unlike the the Coulomb potential, cannot simply be inserted into th...

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Neutrinos with Lorentz-violating operators of arbitrary dimension

Cited by 308 publications

References 186 publications

Limits on Lorentz andCPTviolation from double beta decay

Limits on Lorentz andCPTviolation from double beta decay

Atmospheric results from Super-Kamiokande

From Dirac theories in curved space‐times to a variation of Dirac's large–number hypothesis

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