Constrained fit of the valence transversity distributions from dihadron production

TL;DR

This paper introduces a constrained method for extracting valence transversity distributions from dihadron production data, allowing for more flexible functional forms while maintaining consistency with known bounds.

Contribution

It develops a novel fitting approach that relaxes the usual Soffer bounds constraint using Lagrange multipliers, enhancing the analysis flexibility.

Findings

Results are consistent with previous analyses within the data range.

The new method provides increased flexibility in the functional form of distributions.

Quantitative comparisons show similar outcomes to prior work.

Abstract

We present a constrained analysis of the valence transversity Parton Distribution Functions from dihadron production in semi-inclusive DIS. While usual extractions of the transversity distributions rely explicitly on the fulfilment of the Soffer bounds, the present analysis releases that implicit restriction to implement further explicit constraints through the Lagrange multipliers method. The results are quantitatively comparable to previous analyses in the kinematical range of data ; the qualitative impact of the chosen fitting strategy translates into an increased flexibility in the functional form.