Parton Distribution Functions with Twisted Mass Fermions

Abstract

We present a first Wilson twisted mass fermion calculation of the matrix element between pion states of the twist-2 operator, which is related to the the lowest moment < x > of the valence quark parton distribution function in a pion. Using Wilson twisted mass fermions in the quenched approximation we demonstrate that < x > can be computed at small pseudoscalar meson masses down to values of order 250 MeV. We investigate the scaling behaviour of this physically important quantity by applying two definitions of the critical mass and observe a scaling compatible with the expected O(a^2) behaviour in both cases. A combined continuum extrapolation allows to obtain reliable results for < x > at very small pseudoscalar meson masses, which previously could not be explored by lattice QCD simulations.

15 pages, 3 figures

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• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Hadron structure from lattice quantum chromodynamics
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Valence parton distribution function of pion from fine lattice
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• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
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• Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Mellin moments of spin dependent and independent PDFs of the pion and rho meson
• Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
• First results with two light flavours of quarks with maximally twisted mass
• Moments of meson distribution functions with dynamical twisted mass fermions