New determination of the neutrino hadronic production cross sections from GeV to beyond PeV energies

Abstract

The flux of astrophysical neutrinos is now measured with unprecedented accuracy and over several decades of energy spectrum. Their origin traces back to hadronic collisions between protons and nuclei in the cosmic rays with hydrogen and helium in the target gas. To accurately interpret the data, a precise determination of the underlying cross sections is therefore mandatory. We present a new evaluation of the neutrino production cross section from $p+p$ collisions, building on our previous analysis of the production cross section for ${\pi }^{\pm }$, $K^{\pm }$, and minor baryonic and mesonic channels. Cross sections for scatterings involving nuclei heavier than protons are also derived. The novelty of our approach is the analytical description of the Lorentz invariant cross section ${\sigma }_{\mathrm{inv}}$, and the fit of the model to the available accelerator data. We work with neutrino energies from $10$ GeV to $10^7$ GeV, and, correspondingly, to incident proton (nuclei) energies from $10$ GeV to $10^9$ GeV (GeV/n). We obtain the total differential cross section, $d\sigma (p+p\to \nu +X)/d{E}_{\nu }$ as a function of neutrino and proton energies, with an estimated uncertainty of 5% for neutrino energies below 100 GeV, increasing to 10% above TeV energies. Predictions are given for ${\nu }_e,{\nu }_{\mu },\overline{{\nu }_e}$ and $\overline{{\nu }_{\mu }}$. A comparison with state-of-the-art cross sections, all relying on Monte Carlo generators, is also presented. To facilitate the use by the community, we provide numerical tables and a script for accessing our energy-differential cross sections.

11 pages, 6 figures. Typos corrected, matches version published by PRD. The tables of the energy differential cross sections of neutrinos with a script to read them can be found here: https://github.com/lucaorusa/neutrino_cross_section

References in corpus (26)

• An Introduction to PYTHIA 8.2
• Evidence for neutrino emission from the nearby active galaxy NGC 1068
• The IceCube high-energy starting event sample: Description and flux characterization with 7.5 years of data
• Parameterization of Gamma, e^+/- and Neutrino Spectra Produced by p-p Interaction in Astronomical Environment
• Observation of high-energy neutrinos from the Galactic plane
• Measurement of the cosmic-ray proton spectrum from 40 GeV to 100 TeV with the DAMPE satellite
• Characteristics of the diffuse astrophysical electron and tau neutrino flux with six years of IceCube high energy cascade data
• Study of the inclusive production of charged pions, kaons, and protons in pp collisions at sqrt(s) = 0.9, 2.76, and 7 TeV
• Search for new phenomena in events with an energetic jet and missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for new particles in events with energetic jets and large missing transverse momentum in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• 3D Distribution of Molecular Gas in the Barred Milky Way
• First Direct Observation of Collider Neutrinos with FASER at the LHC
• Observation of Spectral Structures in the Flux of Cosmic-Ray Protons from 50 GeV to 60 TeV with the Calorimetric Electron Telescope on the International Space Station
• New calculation of antiproton production by cosmic ray protons and nuclei
• Observation of collider muon neutrinos with the SND@LHC experiment
• Characterization of the Astrophysical Diffuse Neutrino Flux using Starting Track Events in IceCube
• Measurement of charged pion, kaon, and proton production in proton-proton collisions at sqrt(s) = 13 TeV
• Energy spectra of secondaries in proton-proton interactions
• Direct Measurement of the Cosmic-Ray Helium Spectrum from 40 GeV to 250 TeV with the Calorimetric Electron Telescope on the International Space Station
• Diffuse Emission of Galactic High-Energy Neutrinos from a Global Fit of Cosmic Rays
• First Measurement of the ${\nu }_e$ and ${\nu }_{\mu }$ Interaction Cross Sections at the LHC with FASER's Emulsion Detector
• Bayesian inference of three-dimensional gas maps: II. Galactic HI
• Production of secondary particles in heavy nuclei interactions in supernova remnants
• New determination of the production cross section for $\gamma$ rays in the Galaxy
• Weighing the Local Interstellar Medium using Gamma Rays and Dust
• Precision cross-sections for advancing cosmic-ray physics and other applications: a comprehensive programme for the next decade