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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Neutrino Oscillations 289<br />

8.2.4 Experimental Oscillation Searches<br />

Because neutrino m<strong>as</strong>ses must be very small the oscillation length involves<br />

macroscopic scales. Numerically, it is<br />

l osc = 2.48 m<br />

E ν<br />

1 MeV<br />

1 eV 2<br />

∆m 2 . (8.24)<br />

There<strong>for</strong>e, the modulation of the flavor content of a neutrino beam can<br />

occur on large, even <strong>as</strong>tronomical length scales.<br />

There exists a large number of oscillation searches using terrestrial<br />

neutrino sources (reactors, accelerators); <strong>for</strong> detailed references see Particle<br />

Data <strong>Group</strong> (1994). In Fig. 8.5 (curves a–f) I show the most<br />

restrictive limits on oscillations between the known neutrinos where<br />

Fig. 8.5. Experimental limits on neutrino m<strong>as</strong>ses and mixing angles. Reactors,<br />

ν e disappearance: (a) Bugey 4 (Achkar et al. 1995), superseding the<br />

Gösgen limits (Zacek et al. 1986); (b) Kurchatov Institute (Vidyakin et al.<br />

1987, 1990, 1991). Accelerator experiments: (c) BNL Experiment 776, wideband<br />

beam, ν e and ν e appearance (Borodovsky et al. 1992). (d) BNL Experiment<br />

734, me<strong>as</strong>urement of ν e /ν µ ratio (Ahrens et al. 1985). (e) Fermilab<br />

Experiment 531, ν τ appearance (Ushida et al. 1986); similar constraints were<br />

reported by the CHARM II Collaboration (1993). (f) CDHS Experiment,<br />

ν µ disappearance (Dydak et al. 1984). (g) Anticipated range of sensitivity<br />

<strong>for</strong> the CHORUS and NOMAD experiments which are currently taking data<br />

at CERN (DiLella 1993; Winter 1995).

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