Neutral and charged pion Form Factors in the intermediate-energy region from double-dilaton HQCD model

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Main Authors: Cancio, Héctor, Masjuan, Pere
Format: Preprint
Published: 2025
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author Cancio, Héctor
Masjuan, Pere
author_facet Cancio, Héctor
Masjuan, Pere
contents We compute the Form Factors of both neutral and charged pion using a non-perturbative running of the strong coupling constant $α_s$ obtained using a double-dilaton Holographic QCD model. These form factors remain poorly understood in the intermediate-energy region, which marks the transition between low- and high-energy physics. In particular, experimental data for the neutral pion Form Factor exhibits a deviation from the expected asymptotic behavior, and the charged pion form factor remains comparatively less explored. To address these issues, we employ the pion distribution amplitude formalism to investigate the Form Factor behavior in this intermediate regime. Our results suggests that non-perturbative physics of the strong interaction is relevant even at energy scales traditionally considered perturbative, implying that the perturbative regime could occur at higher energies than previously thought. Finally, our approach allows us to study isospin-breaking effects through the quadratic pion mass difference.
format Preprint
id arxiv_https___arxiv_org_abs_2512_12253
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neutral and charged pion Form Factors in the intermediate-energy region from double-dilaton HQCD model
Cancio, Héctor
Masjuan, Pere
High Energy Physics - Phenomenology
We compute the Form Factors of both neutral and charged pion using a non-perturbative running of the strong coupling constant $α_s$ obtained using a double-dilaton Holographic QCD model. These form factors remain poorly understood in the intermediate-energy region, which marks the transition between low- and high-energy physics. In particular, experimental data for the neutral pion Form Factor exhibits a deviation from the expected asymptotic behavior, and the charged pion form factor remains comparatively less explored. To address these issues, we employ the pion distribution amplitude formalism to investigate the Form Factor behavior in this intermediate regime. Our results suggests that non-perturbative physics of the strong interaction is relevant even at energy scales traditionally considered perturbative, implying that the perturbative regime could occur at higher energies than previously thought. Finally, our approach allows us to study isospin-breaking effects through the quadratic pion mass difference.
title Neutral and charged pion Form Factors in the intermediate-energy region from double-dilaton HQCD model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.12253