Phenomenology of ${\tau }^{-}\to {\pi }^{-}{\nu }_{\tau }\gamma$ using LCSR

Abstract

We present the study of radiative tau decay (${\tau }^{-}\to {\pi }^{-}{\nu }_{\tau }\gamma$), computing the structure dependent contribution using Light Cone Sum Rules. This decay includes the same form factors as the radiative pion decay with the crucial difference that the momentum transfer squared, $t$, between the pion-photon system is positive, which makes these form factors timelike and also as $t$ can now take values upto $m_{\tau }^2$ , it can produce real hadronic resonances. The analytical form for these form factors has been calculated using light cone sum rules method and the invariant mass-spectrum in the $\pi -\gamma$ system and the decay width are presented. The structure dependent parameter, $\gamma$, the ratio of the axial to vector form factor is found to be in good agreement with the experimental determination.

arXiv comment22 pages, 6 figures

References in corpus (13)

• FeynCalc 9.3: New features and improvements
• Precision Tau Physics
• The Physics of Hadronic Tau Decays
• QCD Sum Rules, a Modern Perspective
• Radiative tau decay and the magnetic moment of the muon
• Snapshots of Hadrons, or the Story of How the Vacuum Medium Determines the Properties of the Classical Mesons Which Are Produced, Live and Die in the QCD Vacuum
• One meson radiative tau decays
• Quark-Hadron Duality
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• Counting contact terms in $B\to V\gamma$ decays
• Radiative Tau Decays with One Pseudoscalar Meson
• Tau Radiative Decays in the Light Front Quark Model
• Tests of quark-hadron duality in tau-decays