Rho meson decay in presence of magnetic field

Abstract

We find a general expression for the one-loop self-energy function of neutral $\rho$-meson due to ${\pi }^{+}{\pi }^{-}$ intermediate state in a background magnetic field, valid for arbitrary magnitudes of the field. The pion propagator used in this expression is given by Schwinger, which depends on a proper-time parameter. Restricting to weak fields, we calculate the decay rate $\Gamma ({\rho }^0\to {\pi }^{+}+{\pi }^{-})$, which changes negligibly from the vacuum value.

16 pages, 2 figures; One appendix added

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• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• General structure of the neutral $\rho$ meson self-energy and its spectral properties in a hot and dense magnetized medium
• In medium properties of $K^0$ and $\varphi$ mesons under an external magnetic field
• Magnetic field effect on hadron yield ratios and fluctuations in a hadron resonance gas
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Catalysis and inverse electric catalysis in a scalar theory
• Effect of the magnetized medium on the decay of neutral scalar bosons
• Response to an External Magnetic Field of the Decay Rate of a Neutral Scalar Field into a Charged Fermion Pair
• Strongly interacting matter in extreme magnetic fields
• Scattering cross-section under external magnetic field using the optical theorem
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD