A Parameterization Invariant Approach to the Statistical Estimation of the CKM Phase $α$

Details A Parameterization Invariant Approach to the Statistical Estimation of the CKM Phase $α$ A Parameterization Invariant Approach to the Statistical Estimation of the CKM Phase $α$

2008-03-25

arxiv.org/abs/0803.3458v2

JHEP 0903:010,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 3 figures, 1 table, minor revision; to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/03/010

In contrast to previous analyses, we demonstrate a Bayesian approach to the estimation of the CKM phase $\alpha$ that is invariant to parameterization. We also show that in addition to {\em computing} the marginal posterior in a Bayesian manner, the distribution must also be {\em interpreted} from a subjective Bayesian viewpoint. Doing so gives a very natural interpretation to the distribution. We also comment on the effect of removing information about $\mathcal{B}^{00}$.

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