Chiral extrapolation of the charged-pion magnetic polarizability with Padé approximant

Abstract

The background magnetic-field formalism of Lattice QCD has been used recently to calculate the magnetic polarizability of the charged pion. These $n_f=2+1$ numerical simulations are electro-quenched, such that the virtual sea-quarks of the QCD vacuum do not interact with the background field. To understand the impact of this, we draw on partially quenched chiral perturbation theory. In this case, the leading term proportional to $1/M_{\pi }$ arises at tree level from ${\mathcal{L}}_4$. To describe the results from lattice QCD, while maintaining the exact leading terms of chiral perturbation theory, we introduce a Padé approximant designed to reproduce the slow variation observed in the lattice QCD results. Two-loop contributions are introduced to assess the systematic uncertainty associated with higher-order terms of the expansion. Upon extrapolation, the magnetic polarizability of the charged pion at the physical pion mass is found to be ${\beta }_{{\pi }^{\pm }}=-1.70(14{)}_{\mathrm{stat}}(25{)}_{\mathrm{syst}}\times 10^{-4}$ fm${}^3$, in good agreement with the recent experimental measurement.

arXiv comment6 pages, 4 figures

References in corpus (35)

• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Physical Nucleon Properties from Lattice QCD
• Precise determination of the strangeness magnetic moment of the nucleon
• Meson masses in electromagnetic fields with Wilson fermions
• Charged Pion-Pair Production and Pion Polarizabilities to two Loops
• Revisiting γγ->π^+π^- at low energies
• Strange Electric Form Factor of the Proton
• Photon-Photon Scattering, Pion Polarizability and Chiral Symmetry
• The Magnetic Structure of Light Nuclei from Lattice QCD
• Measurement of the pi^+ meson polarizabilities via the gamma p->gamma pi^+ n reaction
• Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory
• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Magnetic polarizability of hadrons from lattice QCD in the background field method
• Leading Quenching Effects in the Proton Magnetic Moment
• Incorporating Chiral Symmetry in Extrapolations of Octet Baryon Magnetic Moments
• Quark Contributions to Baryon Magnetic Moments in Full, Quenched and Partially Quenched QCD
• Chiral and Continuum Extrapolation of Partially-Quenched Lattice Results
• Magnetic polarizability of pion
• Strange magnetic form factor of the proton at $Q^2=0.23$ GeV${}^2$
• Measurement of the charged-pion polarisability
• Magnetic properties of the nucleon in a uniform background field
• Chiral Extrapolation of Hadronic Observables
• Finite-volume and partial quenching effects in the magnetic polarizability of the neutron
• Extrapolation of lattice QCD results beyond the power-counting regime
• Pion magnetic polarisability using the background field method
• Magnetic polarisability of the nucleon using a Laplacian mode projection
• Chiral extrapolations for nucleon electric charge radii
• Background-Field Formalism in Quantum Systems
• Unified chiral analysis of the vector meson spectrum from lattice QCD
• Neutron magnetic polarisability with Landau mode operators
• Pion Polarizabilities and Volume Effects in Lattice QCD
• Pion in a uniform background magnetic field with clover fermions
• Lattice Charge Overlap II: Aspects of Charged Pion Polarizability
• Chiral Extrapolation: An Analogy with Effective Field Theory
• Chiral extrapolation of the magnetic polarizability of the neutral pion

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• Towards charged hadron polarizabilities from four-point functions in lattice QCD
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