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arxiv 2112.06750 v1 pith:YJBOWBCD submitted 2021-12-13 hep-lat

Nucleon form factors from N_f=2+1+1 twisted mass QCD at the physical point

classification hep-lat
keywords factorsformphysicalaxialeffectselectromagneticlatticemass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the nucleon axial and electromagnetic form factors using \Nf{2}{1}{1} ensembles of twisted mass fermions with clover improvement and with masses tuned to their physical values. Excited state effects are studied using several sink-source time separations in the range 0.8 fm - 1.6 fm, exponentially increasing statistics with the separation such that statistical errors remain approximately constant. In addition, quark loop disconnected diagrams are included in order to extract the isoscalar axial form factors and the proton and neutron electromagnetic form factors, as well as their strange-quark contributions. The radii and moments are extracted by modelling the $Q^2$ dependence, including using the so-called $z$-expansion. A preliminary assessment of lattice cut-off effects is presented using two lattice spacings directly at the physical point.

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