Lattice QCD calculation of the Compton amplitude subtraction function
Date
2025
Authors
Can, K.U.
Hannaford-Gunn, A.
Horsley, R.
Rakow, P.E.L.
Schar, T.
Schierholz, G.
Stüben, H.
Young, R.D.
Zanotti, J.M.
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Journal article
Citation
Physical Review D, 2025; 111(9):094513-1-094513-14
Statement of Responsibility
K. U. Can, A. Hannaford-Gunn, R. Horsley, P. E. L. Rakow, T. Schar, G. Schierholz, H. Stüben, R. D. Young, and J. M. Zanotti (QCDSF Collaboration)
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Abstract
The Compton amplitude subtraction function is an essential component in work concerning both the proton radius puzzle and the proton-neutron mass difference. However, owing to the difficulty in determining the subtraction function, it remains a key source of uncertainty in these two contexts. Here, we use the Feynman-Hellmann method to determine this subtraction function directly from lattice QCD. Furthermore, we demonstrate how to control dominant discretization artifacts for this calculation, eliminating a major source of systematic error. This calculation is performed for a range of hard momentum scales, and three different sets of gauge configurations for pion masses about 400 MeV. Our results show good agreement with continuum OPE expectations. As such, this work paves the way for model-independent and precise determinations of the subtraction function over a wide range of kinematics.
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Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.