We explore the feasibility of detecting heavy neutrinos by the existing facilities of neutrino experiments. A heavy neutrino in the mass range 1 MeV M N 500 MeV is produced by pion or kaon decay, and decays to charged particles which leave signals in neutrino detectors. Taking the T2K experiment as a typical example, we estimate the heavy neutrino flux produced in the neutrino beam line. Due to massive nature of the heavy neutrino, the spectrum of the heavy neutrino is significantly different from that of the ordinary neutrinos. While the ordinary neutrinos are emitted to various directions in the laboratory frame due to their tiny masses, the heavy neutrinos tend to be emitted to the forward directions and frequently hit the detector. The sensitivity for the mixing parameters is studied by evaluating the number of signal events in the near detector ND280. For the electron-type mixing, the sensitivity of T2K at 10 21 POT is found to be better than that of the previous experiment PS191, which has placed the most stringent bounds on the mixing parameters of the heavy neutrinos for 140 MeV M N 500 MeV.
IntroductionIn the last few decades, neutrino oscillation experiments have conclusively shown that neutrinos are massive [1]. The minimal version of the Standard Model is thus to be extended to accommodate the neutrino masses. In many possible extension of the Standard Model, neutral heavy leptons are often predicted. In the seesaw mechanism [2] for example, the right-handed neutrinos are introduced and they weakly mix with the ordinary neutrinos after the electroweak symmetry breaking.For the masses of the heavy neutrinos, a wide range of possibilities has been discussed in literature. In the canonical picture of the seesaw mechanism, heavy neutrino masses are supposed to be around the grand unification scale. These super-heavy neutrinos can account for the baryon asymmetry of the universe by the leptogenesis [3]. Another possibility to account for the baryon asymmetry has been suggested in [4,5] and further studied in [6]. In this scenario, two quasi-degenerate heavy neutrinos of O(100) MeV −O(10) GeV play a crucial role in the early universe. Heavy neutrinos in the mass range ∼ 0.2 GeV could enhance the energy transport from the core to the stalled shock and favor the supernova explosion [7]. Heavy neutrinos with a few keV mass have also attracted much interests as a viable dark matter candidate [8] and an agent of the pulsar velocities [9].Remarkably, the dark matter and the baryon asymmetry due to keV and GeV heavy neutrinos can originate in a simple framework so called νMSM [10,5], which is an extension of the Standard Model with just three generations of the right-handed neutrinos.Besides the super-heavy range much larger than TeV, such heavy neutrinos can be tested in existing and forthcoming experiments due to lower threshold energies of production (for example, see Ref. [11,12] and references therein).In this paper, we focus on the heavy neutrinos produced by kaon decays. The previous neutrino exper...