12,204 research outputs found

    Implications of a Low sin(2 beta): A Strategy for Exploring New Flavor Physics

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    We explore the would-be consequences of a low value of the CP-violating phase sin2βψK\sin2\beta_{\psi K}. The importance of a reference triangle obtained from measurements that are independent of BB--Bˉ\bar B and KK--Kˉ\bar K mixing is stressed. It can be used to extract separately potential New Physics contributions to mixing in the BdB_d, BsB_s and KK systems. We discuss several constructions of this triangle, which will be feasible in the near future. The discrete ambiguity is at most two-fold and eventually can be completely removed. Simultaneously, it will be possible to probe for New Physics in loop-dominated rare decays.Comment: 9 pages, 6 figure

    Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality

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    In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka inequality for non-uniform measures. Applications of this inequality to importance sampling in Quasi-Monte Carlo integration and tractability theory are given. Furthermore, we discuss the problem of transforming a low-discrepancy sequence with respect to the uniform measure into a sequence with low discrepancy with respect to a general measure μ\mu, and show the limitations of a method suggested by Chelson.Comment: 29 pages. Second version: some minor changes, typos fixed, etc. The manuscript has been accepted for publication by Acta Arithmetic
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