Pion vector form factor from LapH-smeared currents in lattice QCD

Abstract

We explore a method to extract pion vector form factor from three-point functions using currents constructed from LapH-smeared quark fields. LapH employs the low eigenmodes of the Laplacian Heaviside operator on the lattice to smear out the quark fields in spatial directions. The LapH-smeared quark propagator retains all symmetry properties of the original one and can be re-used to construct correlation functions at a reduced cost, with equal treatment of connected and disconnected diagrams. The calculations are performed on a two-flavor dynamical nHYP-smeared ensemble on the 24³× 48 lattice at a spacing of 0.12 fm and pion mass of 315 MeV. We show that an extrapolation in the number of low eigenmodes in the LapH subspace can reproduce the same form factor computed from the conventional SST method with point source, sink, and current. The study opens up the possibility of applying LapH-smeared currents to extract hadron form factors and polarizabilities including disconnected diagrams.

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BibTeX RIS

BibTeX

@misc{lee2026pion,
  title = {{Pion vector form factor from LapH-smeared currents in lattice QCD}},
  author = {Frank X. Lee and Andrei Alexandru},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34397},
  eprint = {2610.34397},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34397},
}

RIS

TY  - UNPB
TI  - Pion vector form factor from LapH-smeared currents in lattice QCD
AU  - Frank X. Lee
AU  - Andrei Alexandru
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34397
UR  - https://arxiv.org/abs/2610.34397
AB  - We explore a method to extract pion vector form factor from three-point functions using currents constructed from LapH-smeared quark fields. LapH employs the low eigenmodes of the Laplacian Heaviside operator on the lattice to smear out the quark fields in spatial directions. The LapH-smeared quark propagator retains all symmetry properties of the original one and can be re-used to construct correlation functions at a reduced cost, with equal treatment of connected and disconnected diagrams. The calculations are performed on a two-flavor dynamical nHYP-smeared ensemble on the 24^3× 48 lattice at a spacing of 0.12 fm and pion mass of 315 MeV. We show that an extrapolation in the number of low eigenmodes in the LapH subspace can reproduce the same form factor computed from the conventional SST method with point source, sink, and current. The study opens up the possibility of applying LapH-smeared currents to extract hadron form factors and polarizabilities including disconnected diagrams.
ER  -

Abstract

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