Author:
Bali Gunnar S.,Braun Vladimir M.,Bürger Simon,Göckeler Meinulf,Gruber Michael,Hutzler Fabian,Korcyl Piotr,Schäfer Andreas,Sternbeck André,Wein Philipp,
Abstract
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:
$$ {a}_2^{\pi }={0.101}_{-24}^{+24} $$
a
2
π
=
0.101
−
24
+
24
for the pion;
$$ {a}_1^K={0.0533}_{-35}^{+34} $$
a
1
K
=
0.0533
−
35
+
34
and
$$ {a}_2^K={0.090}_{-20}^{+19} $$
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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