Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects

Bali, Gunnar S. and Braun, Vladimir M. and Glaessle, Benjamin and Goeckeler, Meinulf and Gruber, Michael and Hutzler, Fabian and Korcyl, Piotr and Schaefer, Andreas and Wein, Philipp and Zhang, Jian-Hui (2018) Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects. PHYSICAL REVIEW D, 98 (9): 094507. ISSN 2470-0010, 2470-0029

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Abstract

Building upon our recent study [G. S. Bali et al., Eur. Phys. J. C 78, 217 (2018)], we investigate the feasibility of calculating the pion distribution amplitude from suitably chosen Euclidean correlation functions at large momentum. We demonstrate in this work the advantage of analyzing several correlation functions simultaneously and extracting the pion distribution amplitude from a global fit. This approach also allows us to study higher-twist corrections, which are a major source of systematic error. Our result for the higher-twist parameter delta(pi)(2) is in good agreement with estimates from QCD sum rules. Another novel element is the use of all-to-all propagators, calculated using stochastic estimators, which enables an additional volume average of the correlation functions, thereby reducing statistical errors.

Item Type: Article
Uncontrolled Keywords: LIGHT-CONE OPERATORS; NONPERTURBATIVE RENORMALIZATION; WAVE-FUNCTIONS; CONFORMAL-INVARIANCE; PARTON DISTRIBUTIONS; EVOLUTION-EQUATIONS; EXCLUSIVE PROCESSES; SHORT-DISTANCE; QUARK MASS; LATTICE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 09 Oct 2019 06:44
Last Modified: 09 Oct 2019 06:44
URI: https://pred.uni-regensburg.de/id/eprint/13537

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