Charged Higgs boson contribution to ${\nu }_{\tau }\mathcal{N}\to {\tau }^{-}X$ for very large $\tan \beta$ in the two Higgs doublet model with UHE-neutrinos

Abstract

We study the deep inelastic process ${\nu }_{\tau }+\mathcal{N}\to {\tau }^{-}+X$ (with $\mathcal{N}\equiv (n+p)/2$ an isoscalar nucleon), in the context of the two Higgs doublet model {\it type two} (2HDM(II)). In particular, we discuss the contribution to the total cross section of diagrams, in which a charged Higgs boson is exchanged. We show that for large values of $\tan \beta$ such contribution for an inclusive dispersion generated through the collision of an ultrahigh energy tau-neutrino on a target nucleon can reach up to 57% of the value of the contribution of the $W^{+}$ exchange diagrams (i.e. can reach up to 57% of the standard model (SM) prediction) and could permit to distinguish between the SM and the 2HDM(II) predictions at the Pierre Auger Observatory.

Comments: 10 pages, 5 figures