Role of T-odd functions in high energy hadronic collisions

I propose a simple model for predicting the enegy behavior of T-odd, chiral odd function $h_1^{\perp}$. Furthermore I illustrate a method for extracting $h_1^{\perp}$ and the transversity function from Drell-Yan. The method may be applied also to other reactions.Comment: Talk given at Brookhaven, Spin-200

On multivariable cumulant polynomial sequences with applications

A new family of polynomials, called cumulant polynomial sequence, and its extensions to the multivariate case is introduced relied on a purely symbolic combinatorial method. The coefficients of these polynomials are cumulants, but depending on what is plugged in the indeterminates, either sequences of moments either sequences of cumulants can be recovered. The main tool is a formal generalization of random sums, also with a multivariate random index and not necessarily integer-valued. Applications are given within parameter estimations, L\'evy processes and random matrices and, more generally, problems involving multivariate functions. The connection between exponential models and multivariable Sheffer polynomial sequences offers a different viewpoint in characterizing these models. Some open problems end the paper.Comment: 17 pages, In pres

Some considerations on pitch

Pitch is an audible quality of sound which can be explained not only in terms of strong correlation with sound waves’ properties, but also by a neat correlation to the properties of the sounding object. This seems to be in favour of the theory of sound labelled “distal view”, according to which sound is the vibration of the sounding object

Polynomial traces and elementary symmetric functions in the latent roots of a non-central Wishart matrix

Hypergeometric functions and zonal polynomials are the tools usually addressed in the literature to deal with the expected value of the elementary symmetric functions in non-central Wishart latent roots. The method here proposed recovers the expected value of these symmetric functions by using the umbral operator applied to the trace of suitable polynomial matrices and their cumulants. The employment of a suitable linear operator in place of hypergeometric functions and zonal polynomials was conjectured by de Waal in 1972. Here we show how the umbral operator accomplishes this task and consequently represents an alternative tool to deal with these symmetric functions. When special formal variables are plugged in the variables, the evaluation through the umbral operator deletes all the monomials in the latent roots except those contributing in the elementary symmetric functions. Cumulants further simplify the computations taking advantage of the convolution structure of the polynomial trace. Open problems are addressed at the end of the paper

Q^2 Dependence of the azimuthal Asymmetry in Unpolarized Drell-Yan

We study the azimuthal asymmetry of the unpolarized Drell-Yan in the framework of the T-odd functions. We find, on the basis of quite general arguments, that for |{\bf q}_{\perp}| << Q such an asymmetry decreases as Q^{-2}, where {\bf q}_{\perp} and Q are respectively the transverse momentum and the center-of-mass energy of the muon pair. The experimental results support this conclusion.Comment: 15 pages, 4 figures. Presented at "HiX2004", Marseille, July 26-28, 200