Abstract

We present results on the isovector and isoscalar nucleon axial form factors including disconnected contributions, using an ensemble of Nf = 2 twisted mass cloverimproved Wilson fermions simulated with approximately the physical value of the pion mass. The light disconnected quark loops are computed using exact deflation, while the strange and the charm quark loops are evaluated using the truncated solver method. Techniques such as the summation and the two-state fits have been employed to access ground-state dominance.

Highlights

  • The form factors of the nucleon are important quantities that encapsulate information about its structure and properties

  • We present results on the isovector and isoscalar nucleon axial form factors including disconnected contributions, using an ensemble of N f = 2 twisted mass cloverimproved Wilson fermions simulated with approximately the physical value of the pion mass

  • We evaluate the nucleon axial GA(Q2) and induced pseudoscalar Gp(Q2) form factors using an ensemble of N f = 2 twisted mass clover-improved Wilson ensemble with light quark mass tuned to approximately reproduce the physical value of the pion mass [3]

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Summary

Introduction

The form factors of the nucleon are important quantities that encapsulate information about its structure and properties. The induced pseudoscalar form factor has been measured experimentally only for few values of momentum transfer [2] from the cross section for exclusive π+ electroproduction on the proton. We evaluate the nucleon axial GA(Q2) and induced pseudoscalar Gp(Q2) form factors using an ensemble of N f = 2 twisted mass clover-improved Wilson ensemble with light quark mass tuned to approximately reproduce the physical value of the pion mass [3]. Both connected and disconnected contributions are evaluated allowing to compute the isovector, isoscalar as well as strange and charm form factors

Axial form factors
Lattice extraction
Lattice Setup and Statistics
Axial charge
Isovector Axial and induced pseudoscalar form factors
Disconnected contributions to the axial form factors
Results for the isoscalar
Comparison with other recent lattice QCD results
Conclusions

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