A Joint Analysis of BICEP2/Keck Array and Planck Data

Abstract

We report the results of a joint analysis of data from BICEP2/Keck Array and Planck. BICEP2 and Keck Array have observed the same approximately 400 deg${}^2$ patch of sky centered on RA 0h, Dec. $-57.5°$. The combined maps reach a depth of 57 nK deg in Stokes $Q$ and $U$ in a band centered at 150 GHz. Planck has observed the full sky in polarization at seven frequencies from 30 to 353 GHz, but much less deeply in any given region (1.2 $\mu$K deg in $Q$ and $U$ at 143 GHz). We detect 150$\times$353 cross-correlation in $B$-modes at high significance. We fit the single- and cross-frequency power spectra at frequencies $\ge 150$ GHz to a lensed-$\Lambda$CDM model that includes dust and a possible contribution from inflationary gravitational waves (as parameterized by the tensor-to-scalar ratio $r$), using a prior on the frequency spectral behavior of polarized dust emission from previous \planck\ analysis of other regions of the sky. We find strong evidence for dust and no statistically significant evidence for tensor modes. We probe various model variations and extensions, including adding a synchrotron component in combination with lower frequency data, and find that these make little difference to the $r$ constraint. Finally we present an alternative analysis which is similar to a map-based cleaning of the dust contribution, and show that this gives similar constraints. The final result is expressed as a likelihood curve for $r$, and yields an upper limit $r_{0.05}<0.12$ at 95% confidence. Marginalizing over dust and $r$, lensing $B$-modes are detected at $7.0\sigma$ significance.

Version updated to match published. Data and figures available for download at http://bicepkeck.org and http://pla.esac.esa.int/pla

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• Towards a formulation of $f(R)$ supergravity
• The Effects of Bandpass Variations on Foreground Removal Forecasts for Future CMB Experiments
• Gravitational Waves from Axion Monodromy
• Lyth bound revisited
• Constraining cosmological ultra-large scale structure using numerical relativity
• Cosmology and Supergravity
• Corrections to $n_s$ and $n_t$ from high scale physics
• Sgoldstino-less inflation and low energy SUSY breaking
• Primordial gravitational waves and the collapse of the wave function
• Quantum Gravity, Time, Bounces and Matter
• Tachyon inflation in the Large-$N$ formalism
• Inflation including collapse of the wave function: The quasi-de Sitter case
• Confronting Kähler moduli inflation with CMB data
• Noether symmetry in a nonlocal f(T) Gravity
• Lensing as a Probe of Early Universe: from CMB to Galaxies
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Consistent Cosmic Microwave Background Spectra from Quantum Depletion
• Modified Gauss-Bonnet Gravity with Radiating Fluids
• Revised estimates of CMB $B$-mode polarization induced by patchy reionization
• General Relativistic corrections in density-shear correlations
• On testing and extending the inflationary consistency relation for tensor modes
• Lepton number asymmetry via inflaton decay in a modified radiative seesaw model
• Primordial power spectrum features in phenomenological descriptions of inflation
• Design of 280 GHz feedhorn-coupled TES arrays for the balloon-borne polarimeter SPIDER
• Bounds on Higher Derivative $f(R,\square R,T)$ Models from Energy Conditions
• Precision Predictions for the Primordial Power Spectra of Scalar Potential Models of Inflation
• Cosmic Birefringence Fluctuations and Cosmic Microwave Background $B$-mode Polarization
• DBI Galileon inflation in the light of Planck 2015
• Gauge invariant fluctuations of the metric during inflation from new scalar-tensor Weyl-Integrable gravity model
• Bandpass mismatch error for satellite CMB experiments I: Estimating the spurious signal
• Brane inflation and the robustness of the Starobinsky inflationary model
• Real space lensing reconstruction using cosmic microwave background polarization
• A generalized method of constraining Warm Inflation with CMB data
• Joint Modelling of Dust Scattering and Thermal Emission: The Spider Complex
• Small field models with gravitational wave signature supported by CMB data
• Warm Inflation in $f(R,T)$ gravity
• Radiation Memory, Boosted Schwarzschild Spacetimes and Supertranslations
• Fibre inflation and precision CMB data
• CMB Spectral Distortion Constraints on Thermal Inflation
• A hybrid map-$C_{\ell }$ component separation method for primordial CMB $B$-mode searches
• Spinodal Instabilities and Super-Planckian Excursions in Natural Inflation
• Morphological Analysis of the Polarized Synchrotron Emission with WMAP and Planck
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• On the $\alpha$-attractor T-models
• How much primordial tensor mode is allowed?
• Hierarchical Bayesian CMB Component Separation with the No-U-Turn Sampler
• Hybrid seesaw leptogenesis and TeV singlets
• CMB B-mode auto-bispectrum produced by primordial gravitational waves
• Deforming the Starobinsky model in ghost-free higher derivative supergravities
• The matter-ekpyrotic bounce scenario in Loop Quantum Cosmology
• Evolution of initially contracting Bianchi Class A models in the presence of an ultra-stiff anisotropic pressure fluid
• Inflation due to a non-minimal coupling of singlet scalars in the radiative seesaw model
• The Q/U Imaging ExperimenT: Polarization Measurements of the Galactic Plane at 43 and 95 GHz
• Breaking of Spatial Diffeomorphism Invariance, Inflation and the Spectrum of Cosmological Perturbations
• Bayesian evidence and predictivity of the inflationary paradigm
• Modular Inflation at Higher Level $N$
• Inflation scenario driven by a low energy physics inflaton
• FLRW Cosmology with Horava-Lifshitz Gravity: Impacts of Equations of State
• Signatures of the Very Early Universe: Inflation, Spatial Curvature and Large Scale Anomalies
• A new model of the microwave polarized sky for CMB experiments
• Primordial power spectrum of tensor perturbations in Finsler spacetime
• Single-Superfield Helical-Phase Inflation
• Foreground Bias From Parametric Models of Far-IR Dust Emission
• Simple inflationary models in Gauss-Bonnet brane-world cosmology
• Power law inflation with a non-minimally coupled scalar field in light of Planck and BICEP2 data: The exact versus slow roll results
• Detecting primordial gravitational waves with circular polarization of the redshifted 21 cm line: I. Formalism
• Optimal cosmic microwave background map-making in the presence of cross-correlated noise
• Anisotropic Massive Gauge-flation
• Detection and Removal of B-mode Dust Foregrounds with Signatures of Statistical Anisotropy
• The POLARBEAR Fourier Transform Spectrometer Calibrator and Spectroscopic Characterization of the POLARBEAR Instrument
• Cosmology with the Square Kilometre Array by SKA-Japan
• Differentiating G-inflation from String Gas Cosmology using the Effective Field Theory Approach
• E and B families of the Stokes parameters in the polarized synchrotron and thermal dust foregrounds
• Characterizing line-of-sight variability of polarized dust emission with future CMB experiments
• Quantum gravitational signatures in next-generation gravitational wave detectors
• Inflation connected to the origin of $CP$ violation
• A String-Inspired Model for the Low-$\ell$ CMB
• Large tensor mode, field range bound and consistency in generalized G-inflation
• Gravitational Waves from Phase Transitions
• Spectral indices in Eddington-inspired Born-Infeld inflation
• Quasi-matter bounce and inflation in the light of the CSL model
• The History of Inflation from Microwave Background Polarimetry and Laser Interferometry
• Constraints on Brane-World Inflation from the CMB Power Spectrum: Revisited
• The shape of CMB temperature and polarization peaks on the sphere
• Oscillation in power spectrum of primordial gravitational wave as a signature of higher-order stringy corrections
• Magnetic field tomography in two clouds towards Ursa Major using HI fibers
• Constraining the Break of Spatial Diffeomorphism Invariance with Planck Data
• A new map-making algorithm for CMB polarisation experiments
• Realization of Power-Law Inflation & Variants via Variation of the Strong Coupling Constant
• Relic Neutrino Degeneracies and Their Impact on Cosmological Parameters
• Conservation of $\zeta$ with radiative corrections from heavy field
• Non-Gaussianity in multi-sound-speed disformally coupled inflation
• Designs for a large-aperture telescope to map the CMB 10X faster
• Single Field Inflation in Supergravity with a $U(1)$ Gauge Symmetry
• Reconstructing CMB fluctuations and the mean reionization optical depth
• Inflationary gravitational waves in collapse scheme models
• Systematic effects induced by Half Wave Plate precession into Cosmic Microwave Background polarization measurements
• Final Thoughts on the Power Spectra of Scalar Potential Models
• Constraining non-minimally coupled $\beta$-exponential inflation with CMB data
• Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
• Inflation and DM phenomenology in a scotogenic model extended with a real singlet scalar
• The Logotropic Dark Fluid: Observational and Thermodynamic Constraints
• How much cosmological information can be measured?
• Needlet thresholding methods in component separation
• Impact of Galactic dust non-Gaussianity on searches for B-modes from inflation
• Analysis of Polarized Dust Emission Using Data from the First Flight of SPIDER
• Dynamics of Cosmological Perturbations and Reheating in the Anamorphic Universe
• Statistical properties of polarized CMB foreground maps
• Friedmann inflation in Horava-Lifshitz gravity with a scalar field
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Dark matter and baryogenesis in the Fermi-bounce curvaton mechanism
• A short note on the curvature perturbation at second order
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• Iterative map-making with two-level preconditioning for polarized Cosmic Microwave Background data sets
• Variants of Kinetically Modified Non-Minimal Higgs Inflation in Supergravity
• Generative Models of Multi-channel Data from a Single Example -- Application to Dust Emission
• Low reheating temperatures in monomial and binomial inflationary potentials
• Systematic effects in polarizing Fourier transform spectrometers for cosmic microwave background observations
• Formation of Cylindrical Gravastars in Modified Gravity
• Small field axion inflation with sub-Planckian decay constant
• Observable tensor-to-scalar ratio and secondary gravitational wave background
• Can power spectrum observations rule out slow-roll inflation?
• Magnetic Seed and Cosmology as Quantum Hall Effect
• Limits on Entanglement Effects in the String Landscape from Planck and BICEP/Keck Data
• The Effect of $\alpha$-Vacua on the Scalar and Tensor Spectral Indices: Slow-Roll Approximation
• Cosmological perturbations in a class of fully covariant modified theories: Application to models with the same background as standard LQC
• Symmetry Breaking Indication for Supergravity Inflation in Light of the Planck 2015
• Resonant Reconciliation of Convex Models and the Planck
• B-modes from Post-inflationary Gravitational Waves Sourced by Axionic Instabilities at Cosmic Reionization
• The LSPE-Strip feed horn array
• Measuring inflaton couplings via dark radiation as $\Delta N_{\mathrm{eff}}$ in CMB
• Classically and Quantum stable Emergent Universe from Conservation Laws
• How bad could it be? Modelling the 3D complexity of the polarised dust signal using moment expansion
• Gravitational Waves from Double Hybrid Inflation
• Primordial Power Spectra of EiBI Inflation in Strong Gravity Limit
• General $f(R)$ and conformal inflation from minimal supergravity plus matter
• Tachyon Logamediate inflation on the brane
• Analytic formula for the dynamics around inflation end and implications on primordial gravitational waves
• General bounds in Hybrid Natural Inflation
• Stochastic Gravitational Wave Background from Exoplanets
• Plateau Inflation from Random Non-Minimal Coupling
• Forecast of foreground cleaning strategies for AliCPT-1
• Isotropy-Violation Diagnostics for $B$-mode Polarization Foregrounds to the Cosmic Microwave Background
• Curvaton scenarios with inflaton decays into curvatons
• Fast scalar quadratic maximum likelihood estimators for the CMB B-mode power spectrum
• Primordial Gravitational Waves Measurements and Anisotropies of CMB Polarization Rotation
• Puzzling initial conditions in the R_h=ct model
• Likelihood analysis of small field polynomial models of inflation yielding a high Tensor-to-Scalar ratio
• Gravitationally produced Top Quarks and the Stability of the Electroweak Vacuum During Inflation
• Minimal-supersymmetric extended inflation field in Horava-Lifshitz gravity
• The Diffuse Light of the Universe - On the microwave background before and after its discovery: open questions
• Scalar-Induced Gravitational Waves in a $\Lambda$CDM Cosmology
• Slow-roll inflationary senario in the maximally extended background
• Closing in on the large-scale CMB power asymmetry
• Thermal gravitational-wave background in the general pre-inflationary scenario
• Higgs Inflation with linear and quadratic curvature corrections
• CMB Lensing and Scale Dependent New Physics
• Improving the Single Scalar Consistency Relation
• Statistical imprints of CMB B-type polarization leakage in an incomplete sky survey analysis
• Constraining brane inflationary magnetic field from cosmoparticle physics after Planck
• Bose-Einstein condensation as an alternative to inflation
• Detecting the tensor-to-scalar ratio with the pure pseudospectrum reconstruction of $B$-mode
• Canonical single field slow-roll inflation with a non-monotonic tensor-to-scalar ratio
• What We Can Learn from the Running of the Spectral Index if no Tensors are Detected in the Cosmic Microwave Background Anisotropy
• Optimal strategy for polarization modulation in the LSPE-SWIPE experiment
• Brane inflation driven by an arctan potential: CMB constraints and Reheating
• Evaluation of the single-component thermal dust emission model in CMB experiments
• Connection between dark matter abundance and primordial tensor perturbations
• Asymmetric matter from $B-L$ symmetry breaking
• Moduli backreaction and supersymmetry breaking in string-inspired inflation models
• Time-ordered data simulation and map-making for the PIXIE Fourier transform spectrometer
• BFORE: The B-mode Foreground Experiment
• Reconstruction of inflationary scenarios in non-conservative unimodular gravity
• Inflationary Cosmology via Quantum Corrections in M-theory
• Synthetic Gravitational Waves from a Rolling Axion Monodromy
• Inflation as de Sitter instability
• Moduli Backreaction on Inflationary Attractors
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• B-modes and the sound speed of primordial fluctuations
• Simple cosmological model with inflation and late times acceleration
• Power spectrum oscillations from Planck-suppressed operators in effective field theory motivated monodromy inflation
• Effect of alignment on polarized infrared emission from polycyclic aromatic hydrocarbons
• Inflation in Supergravity with a Single Superfield
• Observable Quantum Loop Effects in the Sky
• Cosmoglobe DR1. III. First full-sky model of polarized synchrotron emission from all WMAP and Planck LFI data
• Constraining the quintessential $\alpha$-attractor inflation through dynamical horizon exit method
• Noether Symmetry Approach in Eddington-inspired Born-Infeld gravity
• Simple brane-world inflationary models: an update
• Non-standard hierarchies of the runnings of the spectral index in inflation
• Smoothing methods comparison for CMB E- and B-mode separation
• Sharpening up Galactic all-sky maps with complementary data - A machine learning approach
• Effect of Dissipation on Warm Chromo-Natural Inflation
• Gravitational Wave Signatures of Primordial Black Hole Reheating in Upcoming Interferometry Missions
• Updated reduced CMB data and constraints on cosmological parameters
• Inflation in string theory confronts data/Les modèles d'inflation en théorie des cordes face aux observations
• Studying G-axion Inflation model in light of PLANCK
• Gravitational-wave implications for structure formation: A second-order approach
• A simple supergravity model of inflation constrained with Planck 2018 data
• Curvaton and quantum gravity effect on the tensor to scalar ratio of the chaotic inflation
• Composite Inflation in the light of 2015 Planck data
• Optimistic estimation on probing primordial gravitational waves with CMB B-mode polarization
• The IR Obstruction to UV Completion for Dante's Inferno Model with Higher-Dimensional Gauge Theory Origin
• Discerning Dark Energy Models with High-Redshift Standard Candles
• Imaging parity-violation in the CMB
• Primordial fluctuations from inflation in dRGT bimetric theory of gravity
• The Galactic interstellar medium has a preferred handedness of magnetic misalignment
• Observational constraints on inflationary potentials within the quantum collapse framework
• New Constraints On Cosmic Polarization Rotation Including SPTpol B-mode Polarization Observations
• Reducing the susceptibility of lumped-element KIDs to two-level system effects
• Constraints on Tensor to Scalar Ratio using WKB Approximation
• Inflation constraints for classes of f(R) models
• Galactic foreground constraints on primordial $B$-mode detection for ground-based experiments
• Imprint of primordial gravitational wave with extremely low frequency on gravitational lens system
• Signal photon flux generated by high-frequency relic gravitational waves
• Continuum, CO and Water vapour maps of the Orion Nebula. First millimetre spectral imaging with Concerto
• CMB Polarization by the Asymmetric Template of Scalar Perturbations
• The Role of Radio Observations in Studies of Infrared-Bright Galaxies: Prospects for a next-generation Very Large Array
• Constraining cosmic polarization rotation and implications for primordial B-modes
• Realising effective theories of tribrid inflation: Are there effects from messenger fields?
• On the occurrence of gauge-dependent secularities in nonlinear gravitational waves
• An Introduction to the Planck Mission
• Slow-roll approximation in loop quantum cosmology
• Nonlinear Perturbations in a Variable Speed of Light Cosmology
• Probing pre-inflationary anisotropy with directional variations in the gravitational wave background
• The adiabatic/entropy decomposition in $P({\varphi }^I,X^{IJ})$ theories with multiple sound speeds
• CMB delensing with deep learning
• Confirmation of the detection of B-modes in the Planck polarization maps
• Spinodal Backreaction During Inflation and Initial Conditions
• Imprints of relic gravitational waves on pulsar timing
• Cherenkov in the Sky: Measuring the Sound Speed of Primordial Scalar Fluctuations
• Exploring the viability of pseudo Nambu-Goldstone boson as ultralight dark matter in a mass range relevant for strong gravity applications
• Inflationary Magnetogenesis in $R^2$-Inflation after Planck 2015
• Approximate Likelihood Approaches for Detecting the Influence of Primordial Gravitational Waves in Cosmic Microwave Background Polarization
• Natural Inflation from 5D SUGRA and Low Reheat Temperature
• From top-hat masking to smooth transitions: P-filter and its application to polarized microwave sky maps
• Stabilising the Planck mass shortly after inflation
• Analytical study of classic models of Hybrid Inflation
• Optimization of the half wave plate configuration for the LSPE-SWIPE experiment
• Generalized Slow-roll Inflation in Non-minimally Coupled Theories
• The Morphology of the Anomalous Microwave Emission in the Planck 2015 data release
• Noether symmetry approach in non-minimal derivative coupling gravity
• An alternative attractor in gauged NJL inflation
• Inflationary tensor fossils deformed by solid matter -- scalar field interaction
• Axion Dark Matter Archaeology with Primordial Gravitational Waves
• BB mode angular power spectrum of CMB from massive gravity
• On Nash theory of gravity with matter contents
• Hidden in the background: a local approach to CMB anomalies
• Excess B-modes extracted from the Planck polarization maps
• Unifying turnaround-bounce cosmology in a cyclic universe considering a running vacuum model
• Status and implications of neutrino masses: a brief panorama
• Cosmic backgrounds from the radio to the far-infrared: recent results and perspectives from cosmological and astrophysical surveys
• Trail of the Higgs in the primordial spectrum
• Mixed Inflaton and Spectator Field Models: CMB constraints and $\mu$ distortion
• Aspects of Black Holes in Gravitational Theories with Broken Lorentz and Diffeomorphism Symmetries
• The more investigation of inflation and reheating stages based on the Planck and WMAP-9
• Slow roll inflation and BB mode angular power spectrum of CMB
• Reheating via gravitational particle production in simple models of quintessence or $\Lambda$CDM inflation
• Does History Repeat Itself? Periodic Time Cosmology
• Strange Work in Strange Places: Quantum Field Theory in Curved Space
• Scale-free power spectrums in the delayed cosmology
• Neutrinos at extreme energies
• Requirements on bandpass resolution and measurement precision for LiteBIRD
• Observable Gravitational Waves From Kinetically Modified Non-Minimal Inflation
• Integrable cosmological models with non-minimal coupling and bounce solutions
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• BICEP/Keck XXI: Constraints on Early-Universe Parity Violation from Multipole-Dependent Birefringence
• Comparison of the Planck 2018 CMB polarization maps in the BICEP2/Keck region
• A High-Throughput AES-GCM Implementation on GPUs for Secure, Policy-Based Access to Massive Astronomical Catalogs
• Evolution of superhorizon perturbations in early Universe with anisotropic solid remnant
• Reheating the Universe at Criticality
• What is the B mode in CMB polarization?
• Accurate and efficient likelihood modeling for large-scale CMB data
• The Simons Observatory: Quantifying the impact of beam chromaticity on large-scale B-mode science
• Type-III Scotogenic Model: Inflation, Dark Matter and Collider Phenomenology
• Recent results and perspectives on cosmology and fundamental physics from microwave surveys
• Modified Supersymmetric Dark Sectors
• B-mode polarization forecasts for GreenPol
• Inflation after Planck and BICEP2
• Status of CMB observations in 2015
• On inflationary parameters in scalar-tensor theories
• The Parameter-Level Performance of Covariance Matrix Conditioning in Cosmic Microwave Background Data Analyses
• Detectability of Galactic Faraday Rotation in Multi-wavelength CMB Observations: A Cross-Correlation Analysis of CMB and Radio Maps
• Inflation in a Gaussian Random Landscape
• Double hybrid inflation and gravitational waves
• Probing CMB Polarization Gaussianity with the Statistics of Unpolarized Points: Non-Gaussianity of Planck Data and Prospects for Future B-Mode Measurements
• Uniformity of Cosmic Microwave Background as a Non-Inflationary Geometrical Effect
• BB mode spectrum of CMB and Inflation
• Developments of highly-multiplexed, multi-chroic pixels for Balloon-Borne Platforms
• Are Most Particles Gravitons?
• The Primordial Magnetic Field (PMF) Generated in Large Field Inflation (LFI), Natural Inflation (NI) and $R^2$-Inflation by $f^{2}FF$ Model
• Trans-Planckian quantum corrections and inflationary vacuum fluctuations of non-minimally coupled scalar fields
• Quantum measurement systems and applications to particle physics and cosmology
• Receiver development for BICEP Array, a next-generation CMB polarimeter at the South Pole