Atmospheric, long baseline, and reactor neutrino data constraints on ${\theta }_{13}$

Abstract

A new atmospheric neutrino oscillation tool which utilizes full three neutrino oscillation probabilities and a full three neutrino treatment of the MSW effect is combined with a standard analysis of the K2K, MINOS, and CHOOZ data to examine the bounds on ${\theta }_{13}$ implied by existing data, including the recent, more finely binned, Super-K atmospheric data. In the region $L/E_{\nu }\gtrsim 10^4$ km/GeV, we have previously found that the sub-dominant expansion does not converge and that terms linear in ${\theta }_{13}$ can be significant. The current analysis confirms this and leads to the conclusion that ${\theta }_{13}$ is bounded from above by the atmospheric data while CHOOZ provides the lower bound. We trace the origin of this result to fully contained data in the previously mentioned very long baseline region, to a combination of a quadratic in ${\theta }_{13}$ term in ${\mathcal{P}}_{ee}$ and a linear term in ${\mathcal{P}}_{e\mu }$ and their contribution to $R_e$, a broad MSW resonance for the solar mass-squared difference at 180 MeV, and an increase in ${\theta }_{12}$ due to this resonant matter effect which alters the sign of the linear in ${\theta }_{13}$ term. Assuming CP is conserved in the lepton sector, we find ${\theta }_{13}=-0.07_{-0.11}^{+0.18}$, the asymmetry being a reflection of the importance of the linear in ${\theta }_{13}$ terms.

arXiv comment4 pages, 5 figures, typos corrected, manuscript shortened

References in corpus (32)

• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• A Measurement of Atmospheric Neutrino Oscillation Parameters by Super-Kamiokande I
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Phenomenology with Massive Neutrinos
• Three-flavour neutrino oscillation update
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Evidence for muon neutrino oscillation in an accelerator-based experiment
• Measurement of the Solar Neutrino Capture Rate by the Russian-American Gallium Solar Neutrino Experiment During One Half of the 22-Year Cycle of Solar Activity
• Complete results for five years of GNO solar neutrino observations
• Getting the most from the statistical analysis of solar neutrino oscillations
• Measurement of Neutrino Oscillations with the MINOS Detectors in the NuMI Beam
• Hints of theta_13>0 from global neutrino data analysis
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Precise Measurement of the Solar Neutrino Day/Night and Seasonal Variation in Super-Kamiokande-I
• Three flavor neutrino oscillation analysis of atmospheric neutrinos in Super-Kamiokande
• Atmospheric neutrinos at Super-Kamiokande and parametric resonance in neutrino oscillations
• Atmospheric neutrinos: LMA oscillations, Ue3 induced interference and CP-violation
• Three flavor neutrino oscillations in matter
• L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses
• Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth
• Reconciling Super-Kamiokande, LSND, and Homestake neutrino-oscillation data
• Probing the deviation from maximal mixing of atmospheric neutrinos
• Contrasting solar and reactor neutrinos with a non-zero value of theta13
• Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance
• Resolving the Mass Hierarchy with Atmospheric Neutrinos using a Liquid Argon Detector
• Fourier Analysis of the Parametric Resonance in Neutrino Oscillations
• Physical region for three-neutrino mixing angles
• Neutrino oscillations: measuring ${\theta }_{13}$ including its sign
• CP violation in neutrino oscillations and L/E flatness of the e-like event ratio at Super-Kamiokande
• Correlations between ${\theta }_{13}$ and ${\theta }_{23}$ in a very long baseline neutrino oscillation experiment
• On detecting CP violation in a single neutrino oscillation channel at very long baselines

Cited by in corpus (15)

• Three-flavour neutrino oscillation update
• Theta_13: phenomenology, present status and prospect
• Universal Mass Texture, CP violation and Quark-Lepton Complementarity
• Confusing non-zero theta_13 with non-standard interactions in the solar neutrino sector
• Bayesian Constraints on theta_{13} from Solar and KamLAND Neutrino Data
• Neutrino oscillations, global analysis and theta(13)
• Bayesian evidence for non-zero theta_13 and CP-violation in neutrino oscillations
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• Sensitivity to neutrino mixing parameters with atmospheric neutrinos
• Calculating error bars for neutrino mixing parameters
• Implications of the Dirac CP phase upon parametric resonance for sub-GeV neutrinos
• The impact of hierarchy upon the values of neutrino mixing parameters
• Confidence regions for neutrino oscillation parameters from double-Chooz data
• Neutrino oscillations: Inevitability of non-standard interactions or a sterile neutrino
• Implications of nonzero ${\theta }_{13}$ for the neutrino mass hierarchy