Pion-to-vacuum vector and axial vector amplitudes and weak decays of pions in a magnetic field

Abstract

We propose a model-independent parametrization for the one-pion-to-vacuum matrix elements of the vector and axial vector hadronic currents in the presence of an external uniform magnetic field. It is shown that, in general, these hadronic matrix elements can be written in terms of several gauge covariant Lorentz structures and form factors. Within this framework we obtain a general expression for the weak decay ${\pi }^{-}\to l{\bar{\nu }}_l$ and discuss the corresponding limits of strong and weak external magnetic fields.

arXiv comment33 pages

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Cited by in corpus (12)

• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Neutral and charged pion properties under strong magnetic fields in the NJL model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
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• Magnetic field driven enhancement of the weak decay width of charged pions
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Weak decays of magnetized charged pions in the symmetric gauge
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• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field