Pion distribution amplitude from Euclidean correlation functions

Bali, Gunnar S. and Braun, Vladimir M. and Glaessle, Benjamin and Goeckeler, Meinulf and Gruber, Michael and Hutzler, Fabian and Korcyl, Piotr and Lang, Bernhard and Schafer, Andreas and Wein, Philipp and Zhang, Jian-Hui (2018) Pion distribution amplitude from Euclidean correlation functions. EUROPEAN PHYSICAL JOURNAL C, 78 (3): 217. ISSN 1434-6044, 1434-6052

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Abstract

Following the proposal in (Braun and Muller. Eur Phys J C55:349, 2008), we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing technique (Bali et al. Phys Rev D93:094515, 2016; Bali et al. Phys Lett B774:91, 2017). This approach is complementary to the calculations of the lowest moments of the DA using the Wilson operator product expansion and avoids mixing with lower dimensional local operators on the lattice. The theoretical status of this method is similar to that of quasi-distributions (Ji. Phys Rev Lett 110:262002, 2013) that have recently been used in (Zhang et al. Phys Rev D95:094514, 2017) to estimate the twist two pion DA. The similarities and differences between these two techniques are highlighted.

Item Type: Article
Uncontrolled Keywords: EXCLUSIVE PROCESSES; POSITION-SPACE; PARTON PHYSICS; WAVE-FUNCTIONS; QCD; RENORMALIZATION; OPERATORS; EVOLUTION; MASS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Mar 2020 10:04
Last Modified: 20 Mar 2020 10:04
URI: https://pred.uni-regensburg.de/id/eprint/14889

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