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WCG24 Cross Sections

Authors: Philip L. R. Weigel, Janet M. Conrad, Alfonso Garcia-Soto

Update 03/10/2025: I have uploaded the nutau and NC cross sections for some of the existing (n)PDF sets, and have also added additional targets:

  • EPPS21_CT18Anlo_C12
  • EPPS21_CT18Anlo_Al27
  • EPPS21_CT18Anlo_Ca40
  • EPPS21_CT18Anlo_W184

Note that the NC cross sections do not include the CKMT-PCAC-NT treatment.

Update 02/21/2025: The paper has been published, see: Phys. Rev. D 111, 043044


This is the repository for the cross section files from Phys. Rev. D 111, 043044/arxiv:2408.05866. The columns of each .table file correspond to the columns of the tables in Appendix C.

  • CT18ANNLO primary NNLO cross sections from the paper
  • CT18ANLO NLO version of the calculations
  • EPPS21nlo_CT18Anlo_O16 NLO oxygen cross sections (sigma/A)
  • EPPS21nlo_CT18Anlo_Fe56 NLO iron cross sections (sigma/A)
  • EPPS21nlo_CT18Anlo_Pb208 NLO oxygen cross sections (sigma/A)
  • NNPDF40_nnlo_as_01180_mhou NNLO cross sections using NNPDF4

There is also a sigma_splines subfolder that contains photospline spline tables of the cross sections and the PDF uncertainties:

  • sigma_[PDFSET]_[PROJECTILE]_[TARGET]_[FLAVOR].fits: Cross section spline for a given projectile, target, and flavor (including total sum of flavors)
  • sigma_[PDFSET]_[PROJECTILE]_[TARGET]_[FLAVOR]_unc.fits: corresponding fractional uncertainties from the PDFs For the EPPS21 cross sections, the target nuclear means that the cross section is the sum of Z protons and N neutrons divided by A.

An example python script for reading the splines can be found in examples/spline_example.py. Be aware that the splines can have some numerical inaccuracies, especially near boundaries.

I plan to include spline tables (using photospline) of the single- and double-differential cross sections and the PDF uncertainties soon.

I will also be releasing NC (without CKMT-PCAC) and nutau cross sections compatible with these cross sections in the near future. Stay tuned!

If you have any questions or find any issues, please contact me (pweigel@mit.edu)!

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