Structure functions from the Compton amplitude
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(Published version)
Date
2020
Authors
Perlt, H.
Horsley, R.
Nakamura, Y.
Rakow, P.
Schierholz, G.
Somfleth, K.
Young, R.
Zanotti, J.
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Conference paper
Citation
Proceedings of Science, 2020, vol.363, pp.137-0-137-6
Statement of Responsibility
R. Horsley, Y. Nakamura, H. Perlt, P. E. L. Rakow, G. Schierholz, K. Somfleth, R. D. Young, J. M. Zanotti
Conference Name
Annual International Symposium on Lattice Field Theory (LATTICE) (16 Jun 2019 - 22 Jun 2019 : Wuhan, China)
Abstract
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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© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).