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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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386 Chapter 10<br />

Fig. 10.19. Allowed range of neutrino m<strong>as</strong>ses and mixing angles in the neutrino<br />

experiments if the flux deficit relative to the Bahcall and Pinsonneault<br />

(1995) solar model is interpreted in terms of neutrino oscillations. The experimental<br />

data include all summarized in Sect. 10.3. (Plot adapted from<br />

Hata and Haxton 1995.)<br />

is rather stable against variations of S 17 (Kr<strong>as</strong>tev and Smirnov 1994;<br />

Berezinsky, Fiorentini, and Lissia 1994).<br />

Another approach is to allow S 17 to float freely when per<strong>for</strong>ming a<br />

maximum-likelihood analysis, i.e. to fit it simultaneously with the neutrino<br />

parameters from all solar neutrino experiments (Hata and Langacker<br />

1994). The best-fit value is found to be 1.43 +0.65<br />

−0.42 times the standard<br />

22.4 eV b. Of course, the 95% CL range <strong>for</strong> the best-fit neutrino<br />

parameters is now much larger, allowing any sin 2 2θ between about<br />

10 −3 and 0.8. Notably the range of allowed large-angle solutions is<br />

v<strong>as</strong>tly incre<strong>as</strong>ed.<br />

In summary, the hypothesis of neutrino oscillations can beautifully<br />

explain almost all experimental results to date. Only the curious anticorrelation<br />

of the Homestake data with solar activity remains unaccounted<br />

<strong>for</strong>. It is interpreted <strong>as</strong> a statistical fluctuation.

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