Small-x neutrino–hadron structure functions within the QCD color dipole picture

Abstract

We present an exploratory QCD analysis of the neutrino structure functions in charged current DIS using the color dipole formalism. The dipole cross sections are taken from recent phenomenological/theoretical studies in deep inelastic inclusive production. The theoretical predictions are compared to the available experimental results in the small-x region, which has never been considered so far.

Neutral current neutrino-nucleus interactions at high energies

“…In addition, we predicted the nuclear ratios R 2 and R 3 and single out the size of nuclear effects in each case. It was found that small-x data show geometric scaling property for the boson-hadron cross section and the structure function F 2 is in agreement with the phenomenological implementation using the saturation models at the small-x region [1]. The structure functions xF νN 3 was discussed in detail, where the sea content described by the quantity ∆xF νN 3 is well described.…”

“…We quote Ref. [1] and Refs. [13,14] for the re-cent phenomenology using the color dipole picture in the case of CC neutrino interactions.…”

“…[1] we have performed an analysis of small-x charged current (CC) neutrino-nucleus DIS using the color dipole formalism [2]. The structure functions F and the quantity ∆xF νN 3 were calculated and compared with the experimental data from CCFR [3][4][5] and NuTeV [6] by employing phenomenological parameterizations for the dipole cross section which successfully describe small-x inclusive and diffractive ep DIS data.…”

Neutrino structure functions in the QCD dipole picture

“…It has been verified in Ref. [4] that the improvement is sizable at low-Q 2 . On the other hand, the large Q 2 region tends to be overestimated for x > 0.0175.…”

“…The CC DIS structure functions for neutrinonucleon scattering in the dipole picture [4] are related to the cross section for scattering of transversely and longitudinally polarized W ± bosons. That is,…”