Abstract
In this note we describe how to complement the neutrino evolution matrix calculated at a given energy and trajectory with additional information which allows to reliably extrapolate it to nearby energies or trajectories without repeating the full computation. Our method works for arbitrary matter density profiles, can be applied to any propagation model described by an Hamiltonian, and exactly guarantees the unitarity of the evolution matrix. As a straightforward application, we show how to enhance the calculation of the theoretical predictions for experimentally measured quantities, so that they remain accurate even in the presence of fast neutrino oscillations. Furthermore, the ability to “move around” a given energy and trajectory opens the door to precise interpolation of the oscillation amplitudes within a grid of tabulated values, with potential benefits for the computation speed of Monte-Carlo codes. We also provide a set of examples to illustrate the most prominent features of our approach.
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Acknowledgments
We are grateful to P. Coloma, P. Denton, M.C. Gonzalez-Garcia, E. Fernandez-Martinez and T. Ota for useful discussions. This project is funded by the European Union through the Horizon 2020 research and innovation program (Marie Skłodowska-Curie grant agreement 860881-HIDDeN) and the Horizon Europe programme (Marie Skłodowska-Curie Staff Exchange grant agreement 101086085-ASYMMETRY). It also receives support from Spanish grants PID2019-110058GB-C21 and IFT “Centro de Excelencia Severo Ochoa” CEX2020-001007-S funded by MCIN/AEI/10.13039/501100011033.
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Maltoni, M. From ray to spray: augmenting amplitudes and taming fast oscillations in fully numerical neutrino codes. J. High Energ. Phys. 2023, 33 (2023). https://doi.org/10.1007/JHEP11(2023)033
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DOI: https://doi.org/10.1007/JHEP11(2023)033