# Nucleon axial form factors from lattice QCD

### Submission summary

 As Contributors: Constantia Alexandrou Preprint link: scipost_202201_00040v1 Date accepted: 2022-05-02 Date submitted: 2022-01-28 17:41 Submitted by: Alexandrou, Constantia Submitted to: SciPost Physics Proceedings Proceedings issue: XXXIII International Workshop on High Energy Physics (Hard Problems of Hadron Physics: Non-Perturbative QCD & Related Quests) Academic field: Physics Specialties: High-Energy Physics - Phenomenology Nuclear Physics - Theory Approach: Theoretical

### Abstract

We give an overview on the evaluation of the axial and pseudoscalar form factors of the nucleon within the lattice QCD formulation. We discuss recent results obtained from the analysisofNf =2+1+1twistedmassfermiongaugeensemblesgeneratedatphysical values of the pion mass. Besides evaluating the isovector form factors, and the PCAC and Goldberger-Treiman relations, we also discuss results for the strange and charm axial form factors. We provide a comparison with other recent lattice QCD results obtained with different discretization schemes of the fermion action.

Published as SciPost Phys. Proc. 6, 006 (2022)

### Submission & Refereeing History

#### Published as SciPost Phys. Proc. 6, 006 (2022)

Submission scipost_202201_00040v1 on 28 January 2022

## Reports on this Submission

### Anonymous Report 1 on 2022-3-30 (Invited Report)

• Cite as: Anonymous, Report on arXiv:scipost_202201_00040v1, delivered 2022-03-30, doi: 10.21468/SciPost.Report.4827

### Report

The manuscript represents an overview devoted mainly to an evaluation of the to the axial (isoscalar and isovector) and pseudoscalar form factors of the nucleon by lattice QCD simulations, recent results are discussed. Computations needed for a systematic studies of hadronic matrix elements of weak currents are described in detail, particular emphasis is on the contributions of excited states to the correlators of 2 and 3 currents. Special attention is given to the contributions $s$ and $c$ quarks. The values of isovector axial mass, axial radius, pion-nucleon coupling and the muon capture coupling constant are computed as well. The Introduction provides a very good review of the PCAC and Goldberger-Treiman relations.

### Requested changes

1. Misprint in the Introduction:
$Q^2 \in 1 − 0.08$~GeV$^2$

2. Misprint in the Introduction: Lattice Quantum Dynamics (QCD) ==> Lattice Quantum Chromodynamics (QCD)

3. Misprint after formula (6):
$G_P (Q62)$ ==> $G_P(Q^2)$

• validity: -
• significance: -
• originality: -
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• formatting: -
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