Generalized form factors of the pion and kaon using twisted mass fermions
Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)(2024)
Abstract
We present an update on our lattice calculations of the Mellin moments of
PDFs and GPDs for the pion and kaon, using momentum-boosted meson states. In
particular, we focus on the calculation of the scalar and tensor local
operators, and the vector operator with up to three-covariant derivatives. The
corresponding matrix elements allow us to extract the scalar and tensor
charges, as well as ⟨ x^n ⟩ with n=1,2,3. In addition, we
introduce momentum transfer between the initial and final meson state that
leads to the scalar, vector, and tensor form factors, and the generalized form
factors up to three covariant derivatives. The above results are obtained using
two ensembles of maximally twisted mass fermions with clover improvement with
two degenerate light, a strange, and a charm quark (N_f=2+1+1) at lattice
spacings of 0.093 fm and 0.081 fm. The pion mass of the ensembles is about 260
MeV. We study excited-states effects by analyzing four values of the
source-sink time separation (1.12 - 1.67 fm). We also examine discretization
and volume effects. The lattice data are renormalized non-perturbatively, and
the results are presented in the MS scheme at a scale of 2 GeV.
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