Dissipative effect in long baseline neutrino experiments

Abstract

The propagation of neutrinos in long baselines experiments may be influenced by dissipation effects. Using the Lindblad master equation we evolve neutrinos taking into account these dissipative effects. The MSW and the dissipative effects may change the behavior of the probabilities. In this work, we show and explain how the behavior of the probabilities can change due to the decoherence and relaxation effects acting individually with the MSW effect. A new exotic peak appears in this case and we show the difference between the decoherence and relaxation effects in the appearance of this peak. We also adapt the usual approximate expression for survival and appearance probabilities with all possible decoherence effects. We suppose the baseline of DUNE and show how each of the decoherence parameters changes the probabilities analyzing the possible modification using a numeric and an analytic approach.

Testing quantum decoherence at DUNE

“…For either model, DUNE's sensitivity to Γ is superior to the previously reported KamLAND's 95% C.L. sensitivity of 6.8×10 −22 GeV [56] and the 90% C.L. sensitivity of 1.2 × 10 −23 GeV [68].…”

“…The result of the interaction between the neutrino system and the environment is the introduction of decoherence/dissipative parameters into the standard oscillation framework. [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69]. This paper is motivated for two interesting observations raised in [67]: the first was the discussion about the invariance of the decoherence matrix when we rotate the neutrino Hamiltonian in matter from the vacuum mass eigenstate basis (VMB) to the matter mass eigenstates basis (MMB).…”

Quantum decoherence effects in neutrino oscillations at DUNE

“…(4) The decoherence parameters are not independent from each other, and are related by the following equations [13]:…”

Neutrino quantum decoherence engendered by neutrino radiative decay

“…Within reasonable amount of the performed studies the method based on the Lindblad master equation [3,4] for describing neutrino evolution has been used. This approach is usually considered as the most general one that gives a possibility to study neutrino quantum decoherence as a consequence of standard and nonstandard interactions of a neutrino system with an external environments [5][6][7][8][9][10][11][12][13][14][15].…”

“…and Γ 1 and Γ 2 are the parameters that describe two dissipative effects: 1) the decoherence effect, and 2) the relaxation effect, respectively. In the case of the energy conservation in the neutrino system there is an additional requirement on a dissipative operators [11],…”