Derives exact rational-plus-π² closed forms for every multipole coefficient α_ℓ in the neutrino collision kernel by rewriting the kernel as angular derivatives of a Yukawa potential and reducing the integrals via a first-order recurrence.
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NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations
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abstract
We present an updated global analysis of neutrino oscillation data as of September 2024. The parameters $\theta_{12}$, $\theta_{13}$, $\Delta m^2_{21}$, and $|\Delta m^2_{3\ell}|$ ($\ell = 1,2$) are well-determined with relative precision at $3\sigma$ of about 13\%, 8\%, 15\%, and 6\%, respectively. The third mixing angle $\theta_{23}$ still suffers from the octant ambiguity, with no clear indication of whether it is larger or smaller than $45^\circ$. The determination of the leptonic CP phase $\delta_{CP}$ depends on the neutrino mass ordering: for normal ordering the global fit is consistent with CP conservation within $1\sigma$, whereas for inverted ordering CP-violating values of $\delta_{CP}$ around $270^\circ$ are favored against CP conservation at more than $3.6\sigma$. While the present data has in principle $2.5$--$3\sigma$ sensitivity to the neutrino mass ordering, there are different tendencies in the global data that reduce the discrimination power: T2K and NOvA appearance data individually favor normal ordering, but they are more consistent with each other for inverted ordering. Conversely, the joint determination of $|\Delta m^2_{3\ell}|$ from global disappearance data prefers normal ordering. Altogether, the global fit including long-baseline, reactor and IceCube atmospheric data results into an almost equally good fit for both orderings. Only when the $\chi^2$ table for atmospheric neutrino data from Super-Kamiokande is added to our $\chi^2$, the global fit prefers normal ordering with $\Delta\chi^2 = 6.1$. We provide also updated ranges and correlations for the effective parameters sensitive to the absolute neutrino mass from $\beta$-decay, neutrinoless double-beta decay, and cosmology.
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representative citing papers
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Visible inelasticity in starting tracks can statistically separate tau and muon neutrino events, yielding competitive sensitivity to the tau-to-muon flux ratio with current IceCube exposures.
Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
The number of massless fermion modes in latticized theory-space models equals the cardinality of the maximum matching in the bipartite graph of mass terms, with support given by the Dulmage-Mendelsohn decomposition.
Neutral-current events supply sensitivity to isovector NSI parameters that charged-current analyses suppress, enabling the first bounded long-baseline constraints and resolution of individual quark couplings when the two datasets are combined.
Thermal Resonant Leptogenesis produces the observed baryon asymmetry via a dominant thermal channel from Higgs decays and lepton-doublet coherences, without requiring quasi-degenerate sterile neutrinos.
Bubble collisions in a seesaw model produce right-handed neutrinos that source novel gravitational waves detectable by LISA, ET, and LVK while allowing the lightest RHN to explain dark matter or enable leptogenesis.
Concurrence minima in neutrino oscillations identify low-entanglement energy regions that, when aligned with NOνA and T2K data, yield tighter joint constraints on sin²θ₂₃, δ_CP, and Δm²₃₁.
Quantum Fisher information matrix is derived for neutrino flavor states to obtain Cramér-Rao bounds on oscillation parameters for reactor and accelerator experiments.
Octonionic Cl(6) flavor structure yields φ12 = -2χ for quarks and real lepton amplitudes unless identity-flavor plane mixing occurs.
Damped oscillations alleviate LN violation suppression for pseudo-Dirac HNLs, improving collider sensitivities and allowing distinction from the double-Majorana limit.
The universal two-zero texture in SO(10) fits flavor data with seven parameters, prefers normal neutrino ordering, predicts Dirac-phase regions and meV-scale m_beta beta, and arises from Z_3 gauging of Z_N (minimal N=7) without extra low-energy fields.
A nonholomorphic T' modular model realizes the T4-2-i one-loop topology for radiative Majorana neutrino masses, forbids tree-level seesaws via modular assignments, stabilizes DM with residual Z2, and fits oscillation data plus DM constraints for both hierarchies with fermionic DM.
Proposes e+e- to N N-bar to ell+ ell+ 4j signatures at FCC-ee in minimal linear seesaw yielding O(10^3) events with negligible SM background to probe LNV and neutrino mass ordering.
DNN analysis of pp → WR → ℓNR → ℓℓjj at LHC Run 2 and HL-LHC improves exclusion limits on m_WR and m_NR for unmixed, maximal-mixing, and PMNS-like scenarios over cut-based methods and probes the |Ve1|–|Vμ1| plane.
A minimal dark SU(2)_D model with anomaly cancellation and Z4 symmetry generates a rank-two Dirac neutrino mass matrix enforcing one exactly massless neutrino.
Proposes a new up-down flux ratio for sub-GeV atmospheric neutrinos to measure δ_CP, potentially exceeding T2HK sensitivity near 90° and 270° at Hyper-Kamiokande.
A sterile neutrino with a novel density-dependent matter potential Vs resolves multiple oscillation anomalies when Vs is negative and mixing angles are small.
A Gompertzian reionization model with three nuisance parameters demotes optical depth to a derived quantity, reducing its uncertainty by a factor of three and revealing potential neutrino mass tension in CMB analyses.
A one-loop Dirac neutrino mass model stabilized by a non-invertible fusion rule from Z3 x Z3' accommodates oscillation data and provides a viable bosonic dark matter candidate.
A Z3 Froggatt-Nielsen model with one flavon reproduces quark and charged lepton hierarchies but yields neutrino mass-squared ratios too small by two orders of magnitude and random PMNS angles.
JUNO's initial results combined with global data give a 2.2-2.3 sigma preference for normal neutrino mass ordering.
A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
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