2 4 Ju n 20 05 s P lot : a statistical tool to unfold data distributions

2 S ep 2 00 5 s P lot : a statistical tool to unfold data distributions

The paper advocates the use of a statistical tool dedicated to the exploration of data samples populated by several sources of events. This new technique, called s Plot, is able to unfold the contributions of the different sources to the distribution of a data sample in a given variable. The s Plot tool applies in the context of a Likelihood fit which is performed on the data sample to determin...

ar X iv : h ep - p h / 05 06 28 4 v 1 2 8 Ju n 20 05 A variational method from the variance of energy

A variational method is studied based on the minimum of energy variance. The method is tested on exactly soluble problems in quantum mechanics, and is shown to be a useful tool whenever the properties of states are more relevant than the eigenvalues. In quantum field theory the method provides a consistent second order extension of the gaussian effective potential. Typeset using REVTEX

ar X iv : h ep - t h / 04 06 22 1 v 3 2 4 Ju n 20 05 LAPTH Laboratoire d ’ Annecy - le - Vieux de Physique Théorique A CLASS OF TOPOLOGICAL ACTIONS

We review definitions of generalized parallel transports in terms of Cheeger-Simons differential characters. Integration formulae are given in terms of Deligne-Beilinson cohomology classes. These representations of parallel transport can be extended to situations involving distributions as is appropriate in the context of quantized fields. LAPTH-1099/05 SPhT-T04/080

1 7 Fe b 20 04 s P lots : a statistical tool to unfold data distributions

A novel method called s Plot, painless to implement, is presented. It projects out the signal and background distributions from a data sample for a variable that is used or not in the original likelihood fit. In each bin of that variable, optimal use is made of the existing information present in the whole event sample, in contrast to the case of the usual likelihood-ratio-cut projection plots....

ar X iv : h ep - p h / 05 06 11 1 v 2 1 4 Ju n 20 05 Transverse positron polarization in the μ + → e + ν̄ μ ν e decay in