Efficiently Exploring Multi-Dimensional Parameter Spaces Beyond the Standard Model

Abstract

We propose a method to ease the challenges of exploring multi-dimensional parameter spaces in beyond-the-Standard Model theories. We evaluate the model likelihood for any choice of parameters by sampling the theory parameters intelligently and building a Kernel Density Estimator. By reducing the number of expensive Monte-Carlo simulations, this method provides a more efficient way to test complex theories. We illustrate our technique to set new limits on a short-lived heavy neutrino $N$, proposed as an explanation of anomalies in neutrino experiments. Using a search for lepton pairs in the T2K near detector, we find exclusion limits on the model parameters in a vast region of parameter space, fully exploiting the advantages of our new method. With a single Monte Carlo simulation, we obtain the differential event rate for arbitrary choices of model parameters, allowing us to cast limits on any slice of the model parameter space. We conclude that $N$ particles with lifetimes greater than $c{\tau }^0\gtrsim 3$cm are excluded by T2K data. We also derive model-independent constraints in terms of the total rate, lifetime, and $N$ mass and provide an approximated analytical formula. This method can be applied in other branches of physics to explore the landscape of theory parameters efficiently.

arXiv comment19 pages, 15 figures

References in corpus (76)

• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Letter of Intent for KM3NeT 2.0
• The T2K Experiment
• Evidence for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations from the LSND Experiment at LAMPF
• Evidence for nu_mu -> nu_e Neutrino Oscillations from LSND
• Improved Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations in the MiniBooNE Experiment
• A Search for Electron Neutrino Appearance at the Delta m**2 ~ 1 eV**2 Scale
• Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
• Event Excess in the MiniBooNE Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations
• Serendipity in dark photon searches
• Evidence for nu_mu -> nu_e Oscillations from Pion Decay in Flight Neutrinos
• Evidence for Neutrino Oscillations from Muon Decay at Rest
• Systematic event generator tuning for the LHC
• Exploring nu signals in dark matter detectors
• Updated MiniBooNE Neutrino Oscillation Results with Increased Data and New Background Studies
• Adaptive Multidimensional Integration: VEGAS Enhanced
• Dark Neutrino Portal to Explain MiniBooNE excess
• Low scale B-L extension of the Standard Model at the LHC
• Coherent Propagation of PeV Neutrinos and the Dip in the Neutrino Spectrum at IceCube
• Dipole portal to heavy neutral leptons
• The Short-Baseline Neutrino Program at Fermilab
• The MiniBooNE anomaly and heavy neutrino decay
• Testability of Type I Seesaw at the CERN LHC: Revealing the Existence of the B-L Symmetry
• U(1)' mediated decays of heavy sterile neutrinos in MiniBooNE
• Search for heavy neutrinos with the T2K near detector ND280
• Resolution of puzzles from the LSND, KARMEN, and MiniBooNE experiments
• The T2K ND280 Off-Axis Pi-Zero Detector
• TeV Scale Gauged B-L With Inverse Seesaw Mechanism
• Dark Neutrinos and a Three Portal Connection to the Standard Model
• Explaining $(g-2{)}_{\mu ,e}$, the KOTO anomaly and the MiniBooNE excess in an extended Higgs model with sterile neutrinos
• Neutrino Masses and Mixings Dynamically Generated by a Light Dark Sector
• $\nu \Lambda$MDM: A Model for Sterile Neutrino and Dark Matter Reconciles Cosmological and Neutrino Oscillation Data after BICEP2
• Testing New Physics Explanations of MiniBooNE Anomaly at Neutrino Scattering Experiments
• Shedding Light on Neutrino Masses with Dark Forces
• Neutrino Physics with Dark Matter Experiments and the Signature of New Baryonic Neutral Currents
• Flavour Dependent Gauged Radiative Neutrino Mass Model
• Explaining the MiniBooNE excess by a decaying sterile neutrino with mass in the 250 MeV range
• A Dark Seesaw Solution to Low Energy Anomalies: MiniBooNE, the muon $(g-2)$, and BaBar
• Heavy neutrino decays at MiniBooNE
• MicroBooNE and the ${\nu }_e$ Interpretation of the MiniBooNE Low-Energy Excess
• Singlet Portal Extensions of the Standard Seesaw Models to a Dark Sector with Local Dark Symmetry
• Activating the 4th Neutrino of the 3+1 Scheme
• Radiative Generation of Lepton Masses with the $U(1{)}^{\prime }$ Gauge Symmetry
• Understanding the MiniBooNE and the muon and electron $g-2$ anomalies with a light $Z^{\prime }$ and a second Higgs doublet
• Neutrino Masses from a Dark Neutrino Sector below the Electroweak Scale
• Dark sector origin of the KOTO and MiniBooNE anomalies
• Heavy neutral leptons below the kaon mass at hodoscopic detectors
• Phenomenology of the Generalised Scotogenic Model with Fermionic Dark Matter
• Two-Higgs doublet solution to the LSND, MiniBooNE and muon $g-2$ anomalies
• Heavy neutrino search in accelerator-based experiments
• Search for an anomalous excess of charged-current quasi-elastic ${\nu }_e$ interactions with the MicroBooNE experiment using Deep-Learning-based reconstruction
• Explaining the MiniBooNE Excess Through a Mixed Model of Oscillation and Decay
• New limits on radiative sterile neutrino decays from a search for single photons in neutrino interactions
• Efficient propagation of systematic uncertainties from calibration to analysis with the SnowStorm method in IceCube
• A binned likelihood for stochastic models
• Dark Tridents at Off-Axis Liquid Argon Neutrino Detectors
• A Two Higgs Doublet Model for Dark Matter and Neutrino Masses
• Sterile Neutrino Searches with MicroBooNE: Electron Neutrino Disappearance
• Searches for Atmospheric Long-Lived Particles
• Dark Matter and the elusive ${\mathbf{Z}}^{\prime }$ in a dynamical Inverse Seesaw scenario
• Apprentice for Event Generator Tuning
• Solutions to the MiniBooNE Anomaly from New Physics in Charged Meson Decays
• Explaining the MiniBooNE Anomalous Excess via Leptophilic ALP-Sterile Neutrino Coupling
• Model Independent Bounds on the Non-Oscillatory Explanations of the MiniBooNE Excess
• Constraints on electromagnetic properties of sterile neutrinos from MiniBooNE results
• MiniBooNE and MicroBooNE Combined Fit to a 3+1 Sterile Neutrino Scenario
• Neutrinos with a linear seesaw mechanism in a scenario of gauged B-L symmetry
• Neutrino Interactions with Matter and the MiniBooNE anomaly
• A quantum Monte Carlo based approach to intranuclear cascades
• Measurement of the charged-current electron (anti-)neutrino inclusive cross-sections at the T2K off-axis near detector ND280
• Exotic Sterile Neutrinos and Pseudo-Goldstone Phenomenology
• Surrogate Models for Direct Dark Matter Detection
• A novel event generator for the automated simulation of neutrino scattering
• The Dark $Z^{\prime }$ and Sterile Neutrinos Behind Current Anomalies
• Requirements on common solutions to the LSND and MiniBooNE excesses: a post-MicroBooNE study
• A Linear seesaw model with hidden gauge symmetry