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arXiv · 2112.03952

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

Constantia Alexandrou·Simone Bacchio·Ian Cloët·Martha Constantinou·Kyriakos Hadjiyiannakou·Giannis Koutsou·Colin Lauer
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Abstract

We present a calculation of the connected-diagram contributions to the first three non-trivial Mellin moments for the pion and kaon, extracted using local operators with up to 3 covariant derivatives. 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 has a pion mass $\sim$260 MeV, and a kaon mass $\sim$530 MeV. We reconstruct the $x$-dependence of the PDFs via fits to our results, and find that our lattice data favor a $(1-x)^2$-behavior in the large-$x$ region for both the pion and kaon PDFs. We integrate the reconstructed PDFs to extract the higher moments, $\langle x^n \rangle$, with $4 \leq n \leq 6$. Finally, we compare the pion and kaon PDFs, as well as the ratios of their Mellin moments, to address the effect of SU(3) flavor symmetry breaking.

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Constantia Alexandrou, Simone Bacchio, Ian Cloët, Martha Constantinou, Kyriakos Hadjiyiannakou, Giannis Koutsou, Colin Lauer. 2021-12-07. $x$-dependence reconstruction of pion and kaon PDFs from Mellin moments. https://arxiv.org/abs/2112.03952

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