Jul 26 – 30, 2021
US/Eastern timezone

x-dependence reconstruction of pion and kaon PDFs from Mellin moments

Jul 28, 2021, 9:00 PM
15m
Oral presentation Hadron Structure Hadron Structure

Speaker

Colin Lauer (Temple University)

Description

We present a calculation of the connected-diagram contributions to the
first three non-trivial Mellin moments for the pion and kaon extracted
directly in lattice QCD using local operators with up to 3 covariant
derivatives. We reconstruct the $x$-dependence of the pion and kaon
PDFs via fits to our results. We find that the reconstruction is
feasible and that our lattice data favor a large $x$-dependence that
falls as $(1-x)^2$ for both the pion and kaon PDFs. We integrate the
reconstructed PDFs to extract the higher moments with $4\leq n\leq 6$.
Finally, we compare the pion and kaon PDFs, as well as the ratios of
their moments, to address the effect of SU(3) flavor symmetry
breaking. We use one ensemble of gauge configurations with two
degenerate light, a strange and a charm quark ($N_f=2+1+1$) of
maximally twisted mass fermions with clover improvement. The ensemble
reproduces a pion mass $\sim260$ MeV, and a kaon mass $\sim530$ MeV.

Primary authors

Colin Lauer (Temple University) Constantia Alexandrou Giannis Koutsou (The Cyprus Institute) Ian Cloet (Argonne National Laboratory) Kyriakos Hadjiyiannakou (The Cyprus Institute) Martha Constantinou (Temple University) Dr Simone Bacchio (The Cyprus Institute)

Presentation materials