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The parity-odd structure function of nucleon from the Compton amplitude

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arxiv 2402.00255 v1 pith:KUQ6VPSY submitted 2024-02-01 hep-lat hep-phnucl-th

The parity-odd structure function of nucleon from the Compton amplitude

classification hep-lat hep-phnucl-th
keywords functionstructureamplitudecomptoncontributiondiagramsparity-oddanalysis
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The dominant contribution to the theoretical uncertainty in the extracted weak parameters of the Standard Model comes from the hadronic uncertainties in the electroweak boxes, i.e. $\gamma-W^\pm/Z$ exchange diagrams. A dispersive analysis relates the box diagrams to the parity-odd structure function, $F_3$, for which the experimental data either do not exist or belong to a separate isospin channel. Therefore a first-principles calculation of $F_3$ is highly desirable. In this contribution, we report on the QCDSF/UKQCD Collaboration's progress in calculating the moments of the $F_3^{\gamma Z}$ structure function from the forward Compton amplitude at the SU(3) symmetric point.

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