Tau neutrino deep inelastic charged current interactions

Abstract

The ν µ → ν τ oscillation hypothesis will be tested through ν τ production of τ in underground neutrino telescopes as well as long-baseline experiments. We provide the full QCD framework for the evaluation of tau neutrino deep inelastic charged current (CC) cross sections, including next-leading-order (NLO) corrections, charm production, tau threshold, and target mass effects in the collinear approximation. We investigate the violation of the Albright-Jarlskog relations for the structure functions F 4,5 which occur only in heavy lepton (τ ) scattering. Integrated CC cross sections are evaluated naively over the full phase space and with the inclusion of DIS kinematic cuts. Uncertainties in our evaluation based on scale dependence, PDF errors and the interplay between kinematic and dynamical power corrections are discussed and/or quantified.

Soft-gluon resummation for heavy quark production in charged-current Deep Inelastic Scattering

“…In Eq. (11), we have ignored structure functions F 4 and F 5 since their contribution to the differential cross section is proportional to powers of the lepton masses and is therefore suppressed [21]. Analogous expressions to Eq.…”

“…Following [20,21,22], one defines the 'theoretical' structure functions F i which are related to the F i 's of Eq. (11) via the following relations:…”

“…Following the notation of [21], and referring to neutrino scattering on a fixed target, the inclusive cross section for ν(ν) scattering in the CC regime can be expressed as a linear combination of three structure functions F 1 , F 2 and F 3 :…”

Neutrino-nucleon cross sections at energies of Megaton-scale detectors

“…Transitions from F 1,2,3 (x, Q 2 ) to target mass corrected (TMC) SFs, F TMC i (x, Q 2 ), are performed according to Ref. [15,16]. Below we do not discuss the complicated problem of the nuclear effects in the DIS SFs and focus only on purely (anti)neutrino-nucleon reactions.…”

Cross section and polarization of neutrino-produced τ's made simple

“…One of the themes of these papers is of course the calculation of the τ production cross-section, both differential and integrated, and that of the τ polarization which is necessary to predict the angular distribution of the decay products into various channels, see e.g. [1][2] [3] However, not all these papers give simple recipes which can easily be implemented in simulation programs. We therefore thought it useful to write this note which describes the way we calculated the cross-section and polarisation and implemented them in the simulation which served many years ago to prepare the proposal for the NOMAD experiment [8].…”