Absence of Quadratic-Order Sensitivity to Small Neutrino Mass Splittings in Disappearance Measurements
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914430031233024 |
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| author | Verma, Sanjeev Kumar |
| author_facet | Verma, Sanjeev Kumar |
| contents | Neutrino disappearance measurements using binned reconstructed-energy spectra exhibit a regime in which small mass-squared splittings become unidentifiable at quadratic order when smooth spectral shape uncertainties are represented by profiled nuisance parameters in the fit. In the small-phase limit, the oscillation-induced modification of the detected spectrum is quadratic in the mass-squared splitting and produces a smooth deformation of the reconstructed-energy distribution. If the nuisance deformation functions used in the fit can reproduce this energy dependence across the fitted bins, the quadratic oscillation-induced distortion can be absorbed by the systematic deformation space and the profiled chi-squared remains unchanged at this order. Sensitivity to the mass-squared splitting then arises only from higher-order oscillation effects or from restrictions imposed on the allowed smooth spectral freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27681 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Absence of Quadratic-Order Sensitivity to Small Neutrino Mass Splittings in Disappearance Measurements Verma, Sanjeev Kumar High Energy Physics - Phenomenology Neutrino disappearance measurements using binned reconstructed-energy spectra exhibit a regime in which small mass-squared splittings become unidentifiable at quadratic order when smooth spectral shape uncertainties are represented by profiled nuisance parameters in the fit. In the small-phase limit, the oscillation-induced modification of the detected spectrum is quadratic in the mass-squared splitting and produces a smooth deformation of the reconstructed-energy distribution. If the nuisance deformation functions used in the fit can reproduce this energy dependence across the fitted bins, the quadratic oscillation-induced distortion can be absorbed by the systematic deformation space and the profiled chi-squared remains unchanged at this order. Sensitivity to the mass-squared splitting then arises only from higher-order oscillation effects or from restrictions imposed on the allowed smooth spectral freedom. |
| title | Absence of Quadratic-Order Sensitivity to Small Neutrino Mass Splittings in Disappearance Measurements |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.27681 |