MSW effect in quantum field theory

Cardall, Christian Y.; Chung, Daniel J. H.

doi:10.1103/physrevd.60.073012

Cited by 26 publications

(32 citation statements)

References 42 publications

(71 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They are very similar to the external wave packet models, except that the wave packets are replaced by states with a well-defined energy, i.e. stationary states [15,16,17,18,19]. The third category groups models where the neutrino is represented by its propagator and coupled at production with a source, though not coupled at detection with anything [20,21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Towards a unique formula for neutrino oscillations in vacuum

Beuthe

2002

Phys. Rev. D

114

View full text Add to dashboard Cite

We show that all correct results obtained by applying quantum field theory to neutrino oscillations can be understood in terms of a single oscillation formula. In particular, the model proposed by Grimus and Stockinger is shown to be a subcase of the model proposed by Giunti, Kim and Lee, while the new oscillation formulas proposed by Ioannisian and Pilaftsis and by Shtanov are disproved. We derive an oscillation formula without making any relativistic assumption and taking into account the dispersion, so that the result is valid for both neutrinos and mesons. This unification gives a stronger phenomenological basis to the neutrino oscillation formula. We also prove that the coherence length can be increased without bound by more accurate energy measurements. Finally, we insist on the wave packet interpretation of the quantum field treatment of oscillations.

show abstract

Section: Introductionmentioning

confidence: 99%

“…(12) may now be performed with the help of Eqs. (18), (19) and (21). As a result, the flavor-mixing transition probability (5) corresponding to the propagation over a distance L = L l of a neutrino, initially of flavor α, but detected with a flavor β, reads…”

Section: The External Wave Packet Modelmentioning

confidence: 99%

Towards a unique formula for neutrino oscillations in vacuum

Beuthe

2002

Phys. Rev. D

114

View full text Add to dashboard Cite

show abstract

“…The effective momentum dispersion of the neutrino wave function depends on the kinematics of neutrino production and detection and on the momentum dispersions of the external particles, as in Refs. [26][27][28][29][30][31][32]. Both approaches predict a number of observable effects, like a quantitative condition on the coherence of mass eigenstates in the production-detection processes, as well as a loss of coherence.…”

Section: Wave Packet Treatment Of Neutrino Oscillationmentioning

confidence: 99%

Study of the wave packet treatment of neutrino oscillation at Daya Bay

2017

Eur. Phys. J. C

View full text Add to dashboard Cite

The disappearance of reactorν e observed by the Daya Bay experiment is examined in the framework of a model in which the neutrino is described by a wave packet with a relative intrinsic momentum dispersion σ rel . Three pairs of nuclear reactors and eight antineutrino detectors, each with good energy resolution, distributed among three experimental halls, supply a high-statistics sample ofν e acquired at nine different baselines. This provides a unique platform to test the effects which arise from the wave packet treatment of neutrino oscillation. The modified survival probability formula was used to fit Daya Bay data, providing the first experimental limits: 2.38 × 10 −17 < σ rel < 0.23. Treating the dimensions of the reactor cores and detectors as constraints, the limits are improved: 10 −14 σ rel < 0.23, and an upper limit of σ rel < 0.20 (which corresponds to σ x 10 −11 cm) is obtained. All limits correspond to a 95% C.L. Furthermore, the effect due to the wave packet nature of neutrino oscillation is found to be insignificant for reactor antineutrinos detected by the Daya Bay experiment thus ensuring an unbiased measurement of the oscillation parameters sin 2 2θ 13 and Δm 2 32 within the plane wave model.

show abstract

“…The S-matrix approach was used Ref. [14] to account for the MSW effect. The influence of moving and polarized matter was described in Refs.…”

Section: Introductionmentioning

confidence: 99%

Evolution of coupled fermions under the influence of an external axial-vector field

Dvornikov

2006

Eur. Phys. J. C

View full text Add to dashboard Cite

The evolution of coupled fermions interacting with external axial-vector fields is described with help of the classical field theory. We formulate the initial conditions problem for the system of two coupled fermions in (3+1)-dimensional space-time. This problem is solved using the perturbation theory. We obtain in the explicit form the expressions for the leading and next to the leading order terms in the expansion over the strength of external fields. It is shown that in the relativistic limit the intensity of the fermion field coincides with the transition probability in the two neutrinos system interacting with moving and polarized matter.

show abstract

MSW effect in quantum field theory

Cited by 26 publications

References 42 publications

Towards a unique formula for neutrino oscillations in vacuum

Towards a unique formula for neutrino oscillations in vacuum

Study of the wave packet treatment of neutrino oscillation at Daya Bay

Evolution of coupled fermions under the influence of an external axial-vector field

Contact Info

Product

Resources

About