PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Structure functions from the Compton amplitude
R. Horsley, Y. Nakamura, H. Perlt,* P. Rakow, G. Schierholz, K. Somfleth, R. Young, J. Zanotti on behalf of QCDSF-UKQCD-CSSM collaboration
*corresponding author
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Pre-published on: January 14, 2020
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We have initiated a program to compute the Compton amplitude from lattice QCD with the Feynman-Hellman method. This amplitude is related to the structure function via a Fredholm integral equation of the first kind. It is known that these types of equations are inherently ill--posed - they are, e.g., extremely sensitive to perturbations of the system. We discuss two methods which are candidates to handle these problems: the model free inversion based on singular value decomposition and one Bayesian type approach. We apply the Bayesian method to currently available lattice data for
the Compton amplitude.
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