On the pion decay constant

Abstract

The pion decay constant f_pi plays a crucial role in many areas of low energy particle physics. Its value may e.g. be deduced from experimental data on leptonic pion decays. Here, we provide comments on several aspects of this evaluation. In particular, we point out that at the present level of experimental accuracy, the value of f_pi is sensitive to the value of the pion mass chosen in its chiral expansion.

15 pages, 3 figures. Accepted for publication in Phys. Lett. B

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• Two-pion contribution to hadronic vacuum polarization
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• Review of lattice results concerning low energy particle physics
• Kaon Decays in the Standard Model
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Leading isospin breaking effects on the lattice
• QED Corrections to Hadronic Processes in Lattice QCD
• Light-meson leptonic decay rates in lattice QCD+QED
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• A note on isospin violation in Pl2(gamma) decays
• Pions in hot dense matter and their astrophysical implications
• FLAG Review 2024
• Slope and curvature of the hadron vacuum polarization at vanishing virtuality from lattice QCD
• Ratio of kaon and pion leptonic decay constants with $N_f=2+1+1$ Wilson-clover twisted-mass fermions
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Notes on QED Corrections in Weak Decays
• Review on the inclusion of isospin breaking effects in lattice calculations
• Resolving Charged Hadrons in QED -- Gauge Invariant Interpolating Operators
• Workshop summary -- Kaons@CERN 2023
• Charm sea effects on charmonium decay constants and heavy meson masses
• Determination of the Strong Coupling Constant by the ALPHA Collaboration
• ChPT calculations of pion formfactors
• Chiral-vacuum excited replicae in QCD modeling
• Long-distance contributions to flavour-changing processes
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature