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Tree-level lepton universality violation in the presence of sterile neutrinos: impact for $R_K$ and $R_\pi$
Abada A., Das D., Teixeira A.M., Vicente A., Weiland C.
Journal of High Energy Physics 1302 (2013) 048 - http://hal.archives-ouvertes.fr/hal-00752375
Physique/Physique des Hautes Energies - Phénoménologie
Tree-level lepton universality violation in the presence of sterile neutrinos: impact for $R_K$ and $R_\pi$
A. Abada1, D. Das1, A. M. Teixeira2, A. Vicente1, C. Weiland1
1 :  LPT - Laboratoire de Physique Théorique d'Orsay
CNRS : UMR8627 – Université Paris XI - Paris Sud
Bâtiment 210 Université Paris XI 91405 Orsay Cedex
2 :  LPC-CLERMONT - Laboratoire de Physique Corpusculaire de Clermont-Ferrand
CNRS : UMR6533 – IN2P3 – Université Blaise Pascal - Clermont-Ferrand II
Campus des Cézeaux 24, avenue des Landais BP 80026 63171 Aubière Cedex
We consider a tree-level enhancement to the violation of lepton flavour universality in light meson decays arising from modified $W \ell \nu$ couplings in the standard model minimally extended by sterile neutrinos. Due to the presence of additional mixings between the active (left-handed) neutrinos and the new sterile states, the deviation from unitarity of the leptonic mixing matrix intervening in charged currents might lead to a tree-level enhancement of $R_{P} = \Gamma (P \to e \nu) / \Gamma (P \to \mu \nu)$, with $P=K, \pi$. We illustrate these enhancements in the case of the inverse seesaw model, showing that one can saturate the current experimental bounds on $\Delta r_{K}$ (and $\Delta r_{\pi}$), while in agreement with the different experimental and observational constraints.

Journal of High Energy Physics
Publisher Institute of Physics (IOP)
ISSN 1126-6708 (eISSN : 1029-8479)
Articles dans des revues avec comité de lecture

9 pages, 2 eps figures
LPT-ORSAY 12-109 ; PCCF RI 12-07

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