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SUSY Dark Matter and Colliders - whepp-9

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Likelihood<br />

L ≡ p(d|m) is pdf of reproducing data d assuming<br />

mSUGRA model m (which depends on parameters).<br />

p(m|d) = p(d|m) p(m)<br />

p(d)<br />

p(m 1 |d)<br />

p(m 2 |d)<br />

= p(d|m 1)p(m 1 )<br />

p(d|m 2 )p(m 2 )<br />

Thus, you can interpret the likelihood distribution as<br />

relative probabilities if your ratio of priors is 1. Otherwise,<br />

convolute it with YOUR priors!<br />

<strong>SUSY</strong> <strong>Dark</strong> <strong>Matter</strong> <strong>and</strong> <strong>Colliders</strong><br />

B.C. Allanach – p.34/53

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