Cross Sections and Inelasticity Distributions of High-Energy Neutrino Deep Inelastic Scattering

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Hauptverfasser: Weigel, Philip L. R., Conrad, Janet M., Garcia-Soto, Alfonso
Format: Preprint
Veröffentlicht: 2024
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author Weigel, Philip L. R.
Conrad, Janet M.
Garcia-Soto, Alfonso
author_facet Weigel, Philip L. R.
Conrad, Janet M.
Garcia-Soto, Alfonso
contents This study presents a comprehensive model for neutrino deep inelastic scattering (DIS) cross sections spanning energies from 50 GeV to 5$\times10^{12}$ GeV with an emphasis on applications to neutrino telescopes. We provide calculations of the total charged-current DIS cross sections and inelasticity distributions up to NNLO for isoscalar nucleon targets and up to NLO order for nuclear targets. Several modifications to the structure functions are applied to improve the modeling of the cross sections at low energies where perturbative QCD is less accurate and at high energies where there is non-negligible top quark production, and small-$x$ logarithms need to be resumed. Using the FONLL general-mass variable-flavor number scheme, we account for heavy quark mass effects and separate the heavy flavor components of the structure functions, obtaining predictions of their relative contributions to the cross sections and the uncertainties arising from the parton distribution functions. Additionally, the effects of final state radiation are implemented in the calculation of the double-differential cross section and discussed in terms of their impact on measurements at neutrino telescopes.
format Preprint
id arxiv_https___arxiv_org_abs_2408_05866
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cross Sections and Inelasticity Distributions of High-Energy Neutrino Deep Inelastic Scattering
Weigel, Philip L. R.
Conrad, Janet M.
Garcia-Soto, Alfonso
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
This study presents a comprehensive model for neutrino deep inelastic scattering (DIS) cross sections spanning energies from 50 GeV to 5$\times10^{12}$ GeV with an emphasis on applications to neutrino telescopes. We provide calculations of the total charged-current DIS cross sections and inelasticity distributions up to NNLO for isoscalar nucleon targets and up to NLO order for nuclear targets. Several modifications to the structure functions are applied to improve the modeling of the cross sections at low energies where perturbative QCD is less accurate and at high energies where there is non-negligible top quark production, and small-$x$ logarithms need to be resumed. Using the FONLL general-mass variable-flavor number scheme, we account for heavy quark mass effects and separate the heavy flavor components of the structure functions, obtaining predictions of their relative contributions to the cross sections and the uncertainties arising from the parton distribution functions. Additionally, the effects of final state radiation are implemented in the calculation of the double-differential cross section and discussed in terms of their impact on measurements at neutrino telescopes.
title Cross Sections and Inelasticity Distributions of High-Energy Neutrino Deep Inelastic Scattering
topic High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2408.05866