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Etudes des proprietes des neutrinos dans les contextes ...

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tel-00450051, version 1 - 25 Jan 2010<br />

Atmosphere<br />

Detector<br />

Earth<br />

θz ν<br />

20 km<br />

ν<br />

Cosmic Ray<br />

10,000 km<br />

Cosmic Ray<br />

Figure 2.4: Scheme of Super-K atmospheric experiment. A down-going neutrino (θz ∼<br />

0 o ) travels through the atmosphere above the detector (a distance of about 20 km),<br />

whereas an up-going neutrino (θz ∼ 180 o ) has traveled through the entire Earth (a<br />

distance of about 13000 km). Hence a measurement of number of <strong>neutrinos</strong> as a<br />

function of the zenith angle yields information about their numbers as a function of<br />

the traveled distance.<br />

The expected fluxes<br />

The main mechanism of production of the atmospheric <strong>neutrinos</strong> is given by the<br />

following chain of reactions:<br />

p(α, ...) + Air( 16 O, 14 N, mainly) → π ± (K ± ) + X<br />

π ± (K ± ) → µ ± + νµ(¯νµ)<br />

µ ± → e ± + νe(¯νe) + ¯νµ(νµ)<br />

(2.6)<br />

Atmospheric <strong>neutrinos</strong> can be observed directly in large mass underground detectors<br />

predominantly by means of their CC interactions:<br />

νe(¯νe) + A → e − (e + ) + X ,<br />

νµ(¯νµ) + A → µ − (µ + ) + X (2.7)<br />

but not distinction between <strong>neutrinos</strong> and anti-<strong>neutrinos</strong> can be made in Cerenkov<br />

type detectors because they are not sensitive to the charge of the charged leptons<br />

produced in the CC reactions of Eqs(2.7). Neverthe<strong>les</strong>s, one can distinguish<br />

electrons from muons since their Cherenkov rings observed by the phototubes<br />

are sharp for muons whereas those produced by electrons are diffuse.<br />

Naively, from the reaction chain (2.6) one would expect to have two atmospheric<br />

muon <strong>neutrinos</strong> (or anti<strong>neutrinos</strong>) for every electron neutrino (or antineutrino).<br />

Actually, one has to take into account the lifetime differences of π ± , K ± and µ ±<br />

as well as the differences in their spectra and the fact that the reaction chain<br />

(2.6) though dominant is not the only one. The νµ/νe ratio also depends on<br />

neutrino energy and on the zenith angle of neutrino trajectory. Calculations of<br />

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