12,204 research outputs found
Implications of a Low sin(2 beta): A Strategy for Exploring New Flavor Physics
We explore the would-be consequences of a low value of the CP-violating phase
. The importance of a reference triangle obtained from
measurements that are independent of -- and -- mixing is
stressed. It can be used to extract separately potential New Physics
contributions to mixing in the , and 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
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 ,
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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