Form factor and model dependence in neutrino-nucleus cross section predictions

Simons, Daniel; Steinberg, Noah; Lovato, Alessandro; Meurice, Yannick; Rocco, Noemi; Wagman, Michael

Form factor and model dependence in neutrino-nucleus cross section predictions

Daniel Simons
(
- U. Iowa, Iowa City
)
,
Noah Steinberg
(
- Fermilab
)
,
Alessandro Lovato
(
- Argonne, PHY and
- TIFPA-INFN, Trento
)
,
Yannick Meurice
(
- U. Iowa, Iowa City
)
,
Noemi Rocco
(
- Fermilab
)

Oct 5, 2022

e-Print:

2210.02455 [hep-ph]

Report number:

FERMILAB-PUB-22-745-T

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Abstract: (arXiv)

To achieve its design goals, the next generation of neutrino-oscillation accelerator experiments requires percent-level predictions of neutrino-nucleus cross sections supplemented by robust estimates of the theoretical uncertainties involved. The latter arise from both approximations in solving the nuclear many-body problem and in the determination of the single- and few-nucleon quantities taken as input by many-body methods. To quantify both types of uncertainty, we compute flux-averaged double-differential cross sections using the Green's function Monte Carlo and spectral function methods as well as different parameterizations of the nucleon axial form factors based on either deuterium bubble-chamber data or lattice quantum chromodynamics calculations. The cross-section results are compared with available experimental data from the MiniBooNE and T2K collaborations. We also discuss the uncertainties associated with

N\rightarrow \Delta

transition form factors that enter the two-body current operator. We quantify the relations between neutrino-nucleus cross section and nucleon form factor uncertainties. These relations enable us to determine the form factor precision targets required to achieve a given cross-section precision.

Note:

Minor changes to text and figure labels

current: operator
bubble chamber: deuterium
form factor: axial
form factor: transition
nucleon: form factor
nucleus: many-body problem
neutrino nucleus
Monte Carlo
accelerator
lattice field theory

References(131)

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