18–20 Nov 2024
JLab
America/New_York timezone

Likelihood and Markov Chain Monte Carlo combined Analysis of spin structure function $g_1$

18 Nov 2024, 19:15
15m
JLab

JLab

Speaker

Saraswati Pandey (Department of Physics, University of Virginia)

Description

From polarised Deep Inelastic scattering (DIS) asymmetries, and cross-section data, it is possible to extract the polarized structure functions $g_1$ and $g_2$. In the parton model picture of proton, the structure function $g_1^p$ is expressed in terms of $g_1^p = \Delta \Sigma + \Delta G$, the net quark and gluon helicity contributions to the proton spin. This spin structure function can also be used to understand the controversies associated with the sign problem of $\Delta G$. We present a rigorous approach to study the correlations between the spin structure function $g_1$ with $\Delta \Sigma$ and $\Delta G$. A likelihood analysis of the polarized DIS spin structure function data using Markov chain Monte Carlo (MCMC) sampling method is performed. The analysis shows preliminary results with a detailed explanation of the method employed.

Authors

Dr Douglas Q. Adams (Department of Physics, University of Virginia) Saraswati Pandey (Department of Physics, University of Virginia) Prof. Simonetta Liuti (Department of Physics, University of Virginia) Zaki Panjsheeri

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