https://doi.org/10.1140/epjc/s10052-018-5700-9
Regular Article - Theoretical Physics
Pion distribution amplitude from Euclidean correlation functions
1
Institut für Theoretische Physik, Universität Regensburg, Universitätsstraße 31, 93040, Regensburg, Germany
2
Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India
3
Marian Smoluchowski Institute of Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348, Kraków, Poland
* e-mail: philipp.wein@physik.uni-r.de
Received:
22
December
2017
Accepted:
4
March
2018
Published online:
15
March
2018
Following the proposal in (Braun and Müller. 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.
© The Author(s), 2018
