Markov chain Monte Carlo (MCMC) based Likelihood Extraction of Chiral-Odd Compton Form Factors from Deeply Virtual Exclusive Experiments

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Autori principali: Pandey, Saraswati, Adams, Douglas Q., Liuti, Simonetta
Natura: Preprint
Pubblicazione: 2026
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author Pandey, Saraswati
Adams, Douglas Q.
Liuti, Simonetta
author_facet Pandey, Saraswati
Adams, Douglas Q.
Liuti, Simonetta
contents A likelihood analysis of the observables in deeply virtual exclusive meson production off a proton target is presented. We consider the unpolarized process for which the largest amount of data with all the kinematic dependences are available from corresponding datasets with unpolarized beams and unpolarized as well as longitudinally polarized targets from Jefferson Lab. We employ a method which derives a joint likelihood of the Compton form factors, which parameterize the deeply virtual Compton scattering amplitude in QCD, for each observed combination of the kinematic variables defining the reaction. The twist-two cross-section likelihood constrain only three of the Compton form factors (CFFs). The joint likelihood analysis of cross-section and Asymmetry information adds more sophistication to the Compton form factors (CFFs). The derived likelihoods are explored using Markov chain Monte Carlo (MCMC) methods.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18589
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Markov chain Monte Carlo (MCMC) based Likelihood Extraction of Chiral-Odd Compton Form Factors from Deeply Virtual Exclusive Experiments
Pandey, Saraswati
Adams, Douglas Q.
Liuti, Simonetta
High Energy Physics - Phenomenology
A likelihood analysis of the observables in deeply virtual exclusive meson production off a proton target is presented. We consider the unpolarized process for which the largest amount of data with all the kinematic dependences are available from corresponding datasets with unpolarized beams and unpolarized as well as longitudinally polarized targets from Jefferson Lab. We employ a method which derives a joint likelihood of the Compton form factors, which parameterize the deeply virtual Compton scattering amplitude in QCD, for each observed combination of the kinematic variables defining the reaction. The twist-two cross-section likelihood constrain only three of the Compton form factors (CFFs). The joint likelihood analysis of cross-section and Asymmetry information adds more sophistication to the Compton form factors (CFFs). The derived likelihoods are explored using Markov chain Monte Carlo (MCMC) methods.
title Markov chain Monte Carlo (MCMC) based Likelihood Extraction of Chiral-Odd Compton Form Factors from Deeply Virtual Exclusive Experiments
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.18589