Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
13130
10.1007/13130.1029-8479
1029-8479
32745009
Journal of High Energy Physics
J. High Energ. Phys.
Physics
Elementary Particles, Quantum Field Theory
Quantum Field Theories, String Theory
Classical and Quantum Gravitation, Relativity Theory
Quantum Physics
Physics and Astronomy
2019
2019
12
8
8
179
2019
11
23
2019
8
2019
SISSA, Trieste, Italy
2019
11069
1903.08038
10.1007/JHEP08(2019)065
65
65
10.1007/JHEP11(2020)037
Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
Regular Article - Theoretical Physics
1
35
2019
8
12
2019
3
26
2019
6
7
2019
6
30
2019
8
12
The Author(s)
2019
13130
2019
2019
8
8
Gunnar
S.
Bali
gunnar.bali@ur.de
Vladimir
M.
Braun
vladimir.braun@ur.de
Simon
Bürger
simon.buerger@ur.de
Meinulf
Göckeler
meinulf.goeckeler@ur.de
Michael
Gruber
michael1.gruber@ur.de
Fabian
Hutzler
fabian.hutzler@ur.de
Piotr
Korcyl
piotr.korcyl@uj.edu.pl
Andreas
Schäfer
andreas.schaefer@ur.de
André
Sternbeck
andre.sternbeck@uni-jena.de
Philipp
Wein
philipp.wein@ur.de
on behalf of the RQCD collaboration
grid.7727.5
0000 0001 2190 5763
Institut für Theoretische Physik
Universität Regensburg
93040
Regensburg
Germany
grid.22401.35
0000 0004 0502 9283
Department of Theoretical Physics
Tata Institute of Fundamental Research
Homi Bhabha Road
Mumbai
400005
India
grid.5522.0
0000 0001 2162 9631
Marian Smoluchowski Institute of Physics
Jagiellonian University
ul. Lojasiewicza 11
30-348
Kraków
Poland
grid.9613.d
0000 0001 1939 2794
Theoretisch-Physikalisches Institut
Friedrich-Schiller-Universität Jena
07743
Jena
Germany
Abstract
We present the first lattice determination of the two lowest Gegenbauer moments of the leading-twist pion and kaon light-cone distribution amplitudes with full control of all errors:
$$ {a}_2^{\pi }={0.101}_{-24}^{+24} $$
for the pion;
$$ {a}_1^K={0.0533}_{-35}^{+34} $$
and
$$ {a}_2^K={0.090}_{-20}^{+19} $$
for the kaon. The calculation is carried out on 35 different CLS ensembles with N
f
= 2 + 1 flavors of dynamical Wilson-clover fermions. These cover a multitude of pion and kaon mass combinations (including the physical point) and 5 different lattice spacings down to a = 0.039 fm. The momentum smearing technique and a new operator basis are employed to reduce statistical fluctuations and to improve the overlap with the ground states. The results are obtained from a combined chiral and continuum limit extrapolation that includes three separate trajectories in the quark mass plane.
Keywords
Lattice QCD
Nonperturbative Effects
Kaon Physics
ArXiv ePrint:
1903.08038
An Addendum to this article is available online at
https://doi.org/10.1007/JHEP11(2020)037
.