P Abreu’s research while affiliated with MIT Portugal and other places

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Publications (752)


FIG. 3. DNN Architecture used to reconstruct X max . The numbers in brackets denote the output shapes.
FIG. 13. Energy evolution of (a) the average depth of shower maximum hX max i and (b) the fluctuations of the shower maximum σðX max Þ as determined using the FD reconstruction [63] (gray open squares) and the DNN X max predictions (black circles). Red (blue) lines indicate expectations for a pure proton (iron) composition for various hadronic models.
FIG. 15. The found elongation rate model with three breaks obtained using SD data (continuous gray line) compared to the evolution of hX max i as measured using the FD (open gray boxes) and the SD (black markers). The χ 2 shown refers to the FD data.
Measurement of the depth of maximum of air-shower profiles with energies between 10 18.5 and 10 20 eV using the surface detector of the Pierre Auger Observatory and deep learning
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January 2025

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21 Reads

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10 Citations

Physical Review D

A. Abdul Halim

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P. Abreu

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[...]

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M. Zavrtanik

We report an investigation of the mass composition of cosmic rays with energies from 3 to 100 EeV ( 1 EeV = 10 18 eV ) using the distributions of the depth of shower maximum X max . The analysis relies on ∼ 50 , 000 events recorded by the surface detector of the Pierre Auger Observatory and a deep-learning-based reconstruction algorithm. Above energies of 5 EeV, the dataset offers a 10-fold increase in statistics with respect to fluorescence measurements at the Observatory. After cross-calibration using the fluorescence detector, this enables the first measurement of the evolution of the mean and the standard deviation of the X max distributions up to 100 EeV. Our findings are threefold: (i) The evolution of the mean logarithmic mass toward a heavier composition with increasing energy can be confirmed and is extended to 100 EeV. (ii) The evolution of the fluctuations of X max toward a heavier and purer composition with increasing energy can be confirmed with high statistics. We report a rather heavy composition and small fluctuations in X max at the highest energies. (iii) We find indications for a characteristic structure beyond a constant change in the mean logarithmic mass, featuring three breaks that are observed in proximity to the ankle, instep, and suppression features in the energy spectrum. Published by the American Physical Society 2025

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Large-scale Cosmic-ray Anisotropies with 19 yr of Data from the Pierre Auger Observatory

November 2024

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57 Reads

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7 Citations

The Astrophysical Journal

Results are presented for the measurement of large-scale anisotropies in the arrival directions of ultra–high-energy cosmic rays detected at the Pierre Auger Observatory during 19 yr of operation, prior to AugerPrime, the upgrade of the observatory. The 3D dipole amplitude and direction are reconstructed above 4 EeV in four energy bins. Besides the established dipolar anisotropy in R.A. above 8 EeV, the Fourier amplitude of the 8–16 EeV energy bin is now also above the 5 σ discovery level. No time variation of the dipole moment above 8 EeV is found, setting an upper limit to the rate of change of such variations of 0.3% yr ⁻¹ at the 95% confidence level. Additionally, the results for the angular power spectrum are shown, demonstrating no other statistically significant multipoles. The results for the equatorial dipole component down to 0.03 EeV are presented, using for the first time a data set obtained with a trigger that has been optimized for lower energies. Finally, model predictions are discussed and compared with observations, based on two source emission scenarios obtained in the combined fit of spectrum and composition above 0.6 EeV.


Search for photons above 10 18 eV by simultaneously measuring the atmospheric depth and the muon content of air showers at the Pierre Auger Observatory

September 2024

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63 Reads

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5 Citations

Physical Review D

The Pierre Auger Observatory is the most sensitive instrument to detect photons with energies above 1 0 17 eV . It measures extensive air showers generated by ultrahigh energy cosmic rays using a hybrid technique that exploits the combination of a fluorescence detector with a ground array of particle detectors. The signatures of a photon-induced air shower are a larger atmospheric depth of the shower maximum ( X max ) and a steeper lateral distribution function, along with a lower number of muons with respect to the bulk of hadron-induced cascades. In this work, a new analysis technique in the energy interval between 1 and 30 EeV ( 1 EeV = 1 0 18 eV ) has been developed by combining the fluorescence detector-based measurement of X max with the specific features of the surface detector signal through a parameter related to the air shower muon content, derived from the universality of the air shower development. No evidence of a statistically significant signal due to photon primaries was found using data collected in about 12 years of operation. Thus, upper bounds to the integral photon flux have been set using a detailed calculation of the detector exposure, in combination with a data-driven background estimation. The derived 95% confidence level upper limits are 0.0403, 0.01113, 0.0035, 0.0023, and 0.0021 km − 2 sr − 1 yr − 1 above 1, 2, 3, 5, and 10 EeV, respectively, leading to the most stringent upper limits on the photon flux in the EeV range. Compared with past results, the upper limits were improved by about 40% for the lowest energy threshold and by a factor 3 above 3 EeV, where no candidates were found and the expected background is negligible. The presented limits can be used to probe the assumptions on chemical composition of ultrahigh energy cosmic rays and allow for the constraint of the mass and lifetime phase space of super-heavy dark matter particles. Published by the American Physical Society 2024


Figure 4. Angular power spectrum measurements for the (4-8) EeV (a), (8-16) EeV (b), (16-32) EeV (c), ≥ 32 EeV (d), and ≥ 8 EeV (e) energy bins. The gray bands correspond to the 99% CL fluctuations that would result from an isotropic distribution. The red lines correspond to the 99% CL upper limits. In panel (d), the upper limit C UL 1 has been divided by 2 to maintain the visibility of other features in the plot.
Figure 6. Map in Galactic coordinates showing the predictions for the direction of the mean dipole (star symbols) and the 68% CL contour regions (dashed lines) obtained for 10 3 realizations of the source distribution for a density of 10 −4 Mpc −3 and for each energy bin above 4 EeV. This is compared to what obtained in data (continuous lines). The gray dots represent the location of the galaxies in the IR catalog within 120 Mpc. .
Number of events (N ), reconstructed equatorial dipole amplitude (d ⊥ ), phase (α d ) and isotropic probability (P (≥ r α 1 )) separating the dataset into time-ordered subsets for the E ≥ 8 EeV cumulative energy bin. The first two rows correspond to separating the dataset into two time-ordered bins, while the following rows correspond to separating the dataset into four time-ordered bins.
Large-scale cosmic ray anisotropies with 19 years of data from the Pierre Auger Observatory

August 2024

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36 Reads

Results are presented for the measurement of large-scale anisotropies in the arrival directions of ultra-high-energy cosmic rays detected at the Pierre Auger Observatory during 19 years of operation, prior to AugerPrime, the upgrade of the Observatory. The 3D dipole amplitude and direction are reconstructed above 44\,EeV in four energy bins. Besides the established dipolar anisotropy in right ascension above 88\,EeV, the Fourier amplitude of the 8 to 1616\,EeV energy bin is now also above the 5σ5\sigma discovery level. No time variation of the dipole moment above 88\,EeV is found, setting an upper limit to the rate of change of such variations of 0.3%0.3\% per year at the 95%95\% confidence level. Additionally, the results for the angular power spectrum are shown, demonstrating no other statistically significant multipoles. The results for the equatorial dipole component down to 0.030.03\,EeV are presented, using for the first time a data set obtained with a trigger that has been optimized for lower energies. Finally, model predictions are discussed and compared with observations, based on two source emission scenarios obtained in the combined fit of spectrum and composition above 0.60.6\,EeV.


Impact of the magnetic horizon on the interpretation of the Pierre Auger Observatory spectrum and composition data

July 2024

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38 Reads

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6 Citations

The flux of ultra-high energy cosmic rays reaching Earth above the ankle energy (5 EeV) can be described as a mixture of nuclei injected by extragalactic sources with very hard spectra and a low rigidity cutoff. Extragalactic magnetic fields existing between the Earth and the closest sources can affect the observed CR spectrum by reducing the flux of low-rigidity particles reaching Earth. We perform a combined fit of the spectrum and distributions of depth of shower maximum measured with the Pierre Auger Observatory including the effect of this magnetic horizon in the propagation of UHECRs in the intergalactic space. We find that, within a specific range of the various experimental and phenomenological systematics, the magnetic horizon effect can be relevant for turbulent magnetic field strengths in the local neighbourhood in which the closest sources lie of order Brms ≃ (50–100) nG (20 Mpc/ds)( 100 kpc/Lcoh)1/2, with ds the typical intersource separation and Lcoh the magnetic field coherence length. When this is the case, the inferred slope of the source spectrum becomes softer and can be closer to the expectations of diffusive shock acceleration, i.e., ∝ E⁻². An additional cosmic-ray population with higher source density and softer spectra, presumably also extragalactic and dominating the cosmic-ray flux at EeV energies, is also required to reproduce the overall spectrum and composition results for all energies down to 0.6 EeV.


Figure 5. Flux ratio in the windows considered in this work (a, b1, b2, b3) computed from our data with all possible energy thresholds. The shaded bands show the ±1σ interval for each threshold. The filled markers indicate the values at the thresholds computed via Pierre Auger Collaboration & Telescope Array Collaboration (2023b, eq. (1)); the uncertainties on the energy cross-calibration are comparable to the horizontal size of the markers. The results reported in (Telescope Array Collaboration 2023) are also shown as empty markers for comparison.
Figure 6. The number of excess events, Nin − N bg , fitted as a power law spectrum N (Emin, Emax) = Emax E min J20 E 20 EeV −γ dE =
The flux of ultra-high-energy cosmic rays along the supergalactic plane measured at the Pierre Auger Observatory

July 2024

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41 Reads

Ultra-high-energy cosmic rays are known to be mainly of extragalactic origin, and their propagation is limited by energy losses, so their arrival directions are expected to correlate with the large-scale structure of the local Universe. In this work, we investigate the possible presence of intermediate-scale excesses in the flux of the most energetic cosmic rays from the direction of the supergalactic plane region using events with energies above 20 EeV recorded with the surface detector array of the Pierre Auger Observatory up to 31 December 2022, with a total exposure of 135,000 km^2 sr yr. The strongest indication for an excess that we find, with a post-trial significance of 3.1{\sigma}, is in the Centaurus region, as in our previous reports, and it extends down to lower energies than previously studied. We do not find any strong hints of excesses from any other region of the supergalactic plane at the same angular scale. In particular, our results do not confirm the reports by the Telescope Array collaboration of excesses from two regions in the Northern Hemisphere at the edge of the field of view of the Pierre Auger Observatory. With a comparable exposure, our results in those regions are in good agreement with the expectations from an isotropic distribution.


Testing hadronic-model predictions of depth of maximum of air-shower profiles and ground-particle signals using hybrid data of the Pierre Auger Observatory

May 2024

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99 Reads

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28 Citations

Physical Review D

We test the predictions of hadronic interaction models regarding the depth of maximum of air-shower profiles, X max , and ground-particle signals in water-Cherenkov detectors at 1000 m from the shower core, S ( 1000 ) , using the data from the fluorescence and surface detectors of the Pierre Auger Observatory. The test consists of fitting the measured two-dimensional ( S ( 1000 ) , X max ) distributions using templates for simulated air showers produced with hadronic interaction models pos-, et--04, 2.3d and leaving the scales of predicted X max and the signals from hadronic component at ground as free-fit parameters. The method relies on the assumption that the mass composition remains the same at all zenith angles, while the longitudinal shower development and attenuation of ground signal depend on the mass composition in a correlated way. The analysis was applied to 2239 events detected by both the fluorescence and surface detectors of the Pierre Auger Observatory with energies between 10 18.5 eV to 10 19.0 eV and zenith angles below 60°. We found, that within the assumptions of the method, the best description of the data is achieved if the predictions of the hadronic interaction models are shifted to deeper X max values and larger hadronic signals at all zenith angles. Given the magnitude of the shifts and the data sample size, the statistical significance of the improvement of data description using the modifications considered in the paper is larger than 5 σ even for any linear combination of experimental systematic uncertainties. Published by the American Physical Society 2024


FIG. 1. Energy spectrum of neutrinos and photons from the decay of the pseudoscalar particle X within the BSM benchmark [3] (M X ¼ 10 10 GeV).
Constraints on metastable superheavy dark matter coupled to sterile neutrinos with the Pierre Auger Observatory

April 2024

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73 Reads

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6 Citations

Physical Review D

Dark matter particles could be superheavy, provided their lifetime is much longer than the age of the Universe. Using the sensitivity of the Pierre Auger Observatory to ultrahigh energy neutrinos and photons, we constrain a specific extension of the Standard Model of particle physics that meets the lifetime requirement for a superheavy particle by coupling it to a sector of ultralight sterile neutrinos. Our results show that, for a typical dark coupling constant of 0.1, the mixing angle θ m between active and sterile neutrinos must satisfy, roughly, θ m ≲ 1.5 × 10 − 6 ( M X / 10 9 GeV ) − 2 for a mass M X of the dark-matter particle between 10 8 GeV and 10 11 GeV . Published by the American Physical Society 2024


Constraining models for the origin of ultra-high-energy cosmic rays with a novel combined analysis of arrival directions, spectrum, and composition data measured at the Pierre Auger Observatory

January 2024

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67 Reads

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29 Citations

The combined fit of the measured energy spectrum and shower maximum depth distributions of ultra-high-energy cosmic rays is known to constrain the parameters of astrophysical models with homogeneous source distributions. Studies of the distribution of the cosmic-ray arrival directions show a better agreement with models in which a fraction of the flux is non-isotropic and associated with the nearby radio galaxy Centaurus A or with catalogs such as that of starburst galaxies. Here, we present a novel combination of both analyses by a simultaneous fit of arrival directions, energy spectrum, and composition data measured at the Pierre Auger Observatory. The model takes into account a rigidity-dependent magnetic field blurring and an energy-dependent evolution of the catalog contribution shaped by interactions during propagation. We find that a model containing a flux contribution from the starburst galaxy catalog of around 20% at 40 EeV with a magnetic field blurring of around 20° for a rigidity of 10 EV provides a fair simultaneous description of all three observables. The starburst galaxy model is favored with a significance of 4.5σ (considering experimental systematic effects) compared to a reference model with only homogeneously distributed background sources. By investigating a scenario with Centaurus A as a single source in combination with the homogeneous background, we confirm that this region of the sky provides the dominant contribution to the observed anisotropy signal. Models containing a catalog of jetted active galactic nuclei whose flux scales with the γ-ray emission are, however, disfavored as they cannot adequately describe the measured arrival directions.


Radio measurements of the depth of air-shower maximum at the Pierre Auger Observatory

January 2024

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61 Reads

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16 Citations

Physical Review D

The (AERA), part of the Pierre Auger Observatory, is currently the largest array of radio antenna stations deployed for the detection of cosmic rays, spanning an area of 17 km 2 with 153 radio stations. It detects the radio emission of extensive air showers produced by cosmic rays in the 30–80 MHz band. Here, we report the AERA measurements of the ( X max ), a probe for mass composition, at cosmic-ray energies between 10 17.5 and 10 18.8 eV , which show agreement with earlier measurements with the fluorescence technique at the Pierre Auger Observatory. We show advancements in the method for radio X max reconstruction by comparison to dedicated sets of / air-shower simulations, including steps of reconstruction-bias identification and correction, which is of particular importance for irregular or sparse radio arrays. Using the largest set of radio air-shower measurements to date, we show the radio X max resolution as a function of energy, reaching a resolution better than 15 g cm − 2 at the highest energies, demonstrating that radio X max measurements are competitive with the established high-precision fluorescence technique. In addition, we developed a procedure for performing an extensive data-driven study of systematic uncertainties, including the effects of acceptance bias, reconstruction bias, and the investigation of possible residual biases. These results have been cross-checked with air showers measured independently with both the radio and fluorescence techniques, a setup unique to the Pierre Auger Observatory. Published by the American Physical Society 2024


Citations (69)


... The increasingly frequent use of machine learning (ML) algorithms in a wide range of applications is transforming the traditional way we do scientific analysis, a phenomenon to which the Pierre Auger Collaboration is no exception. See, for instance, [21][22][23][24]. In this context, we are implementing a connection between the Open Neural Network Exchange [25] (ONNX) ecosystem. ...

Reference:

The core software and simulation activities for data analysis at the Pierre Auger Observatory
Measurement of the depth of maximum of air-shower profiles with energies between 10 18.5 and 10 20 eV using the surface detector of the Pierre Auger Observatory and deep learning

Physical Review D

... The measurement of the dipole is one of the key achievements in UHECR detection. The significance of the dipole is currently around 6.8 above 8 EeV [16]. On the intermediate scale, a hot spot has been observed in the Centaurus constellation with a significance of 4 for UHECRs with energies above 8 EeV. ...

Large-scale Cosmic-ray Anisotropies with 19 yr of Data from the Pierre Auger Observatory
  • Citing Article
  • November 2024

The Astrophysical Journal

... The two observables are combined by means of a Fisher discriminant. In the data set taken over 12 yr, or ∼1000 km 2 ·sr·yr, 22 photon candidate events were found [22]. This number is consistent with the expected background contamination of 30 ± 15. ...

Search for photons above 10 18 eV by simultaneously measuring the atmospheric depth and the muon content of air showers at the Pierre Auger Observatory

Physical Review D

... The events published in the catalog of the 100 highest-energy cosmic-ray events [10], with reconstructed energy between 76 EeV and 166 EeV, collected during Phase I of the Observatory's data taking (between 2004 and 2021) used in the study of the arrival directions of events above 32 EeV [11], along with the nine highest-energy hybrid events used for their calibration, are available for inspection and download in the UHECR catalog section of the Portal. ...

Arrival Directions of Cosmic Rays above 32 EeV from Phase One of the Pierre Auger Observatory

The Astrophysical Journal

... For the estimation above, we use the conservative value = 2, which is appropriate for the high-energy non-resonant regime [18]. Above 5 EeV, the UHECR detected on Earth are dominated by He and N, as inferred from the combined fit performed by the Pierre Auger Collaboration [19]. Taking ∼ 5, we estimate ∼ 150 EeV, suggesting that all UHECRs are likely scattered before leaving the source's vicinity. ...

Impact of the magnetic horizon on the interpretation of the Pierre Auger Observatory spectrum and composition data

... Recent results from the Pierre Auger Observatory have demonstrated that state-of-theart hadronic interaction models fail to describe the observed extensive air showers consistently, regardless of the assumed primary mass composition [1]. In particular, simulations exhibit a persistent deficit in the predicted number of muons compared to experimental data [2,3], a discrepancy commonly referred to as the EAS Muon Puzzle. ...

Testing hadronic-model predictions of depth of maximum of air-shower profiles and ground-particle signals using hybrid data of the Pierre Auger Observatory

Physical Review D

... Superheavy particles must be extremely long-lived, ≳ 10 22 yr, to be responsible for the relic density of DM observed today. Only a handful theoretical constructions can meet these constraints without resorting to fine-tuning: sterile neutrinos being themselves DM and feebly coupled [23][24][25] or with slight mass-mixing in the sterile neutrino sector [26], particles coupled with sterile neutrinos alone [27,28], or non-perturbative effects suppressing the dark coupling constant and selecting large-multiplicity final states from instantonic rules [29,30]. Another possibility highlighted in this review relies on spin 3/2 particles in the context of supersymmetry broken at high scale. ...

Constraints on metastable superheavy dark matter coupled to sterile neutrinos with the Pierre Auger Observatory

Physical Review D

... The current interpretation is given by CRs losing energy inside the sources colliding with the interstellar gas producing gammarays and neutrinos. Furthermore, The Pierre Auger Observatory (PAO) has found a correlation between SBGs and Ultra-High Energy Cosmic Rays (UHECRs) [5]. Indeed, Ref. [6] has studied the possibility for SBGs to power the UHECR spectrum measured by the PAO [7][8][9][10]. ...

Constraining models for the origin of ultra-high-energy cosmic rays with a novel combined analysis of arrival directions, spectrum, and composition data measured at the Pierre Auger Observatory

... Next, a likelihood approach is used to 10 18 match the simulations to the measured shower, evaluating and correcting for reconstruction biases and determining the reconstruction uncertainty. The method is described in detail in [9][10][11]. We compare the results to measurements of the FD on an event-by-event basis and find no significant bias and a spread of the measurements compatible with the combined resolutions of the two detectors (see Figure 2, left). ...

Radio measurements of the depth of air-shower maximum at the Pierre Auger Observatory

Physical Review D

... Scintillator bars with an area of 2 m 2 are enclosed in an aluminium box and read out by a PMT via wavelength shifting fibres. The electronics of the Surface Detector (SD) has been upgraded [26]: the newly developed Upgraded Unified Board (UUB) features a 12-bit ADC with 120 MHz sampling rate to read out the PMTs of the WCD and the SSD. All data are send via the existing communication system to a central Data Acquisition System (DAQ). ...

AugerPrime surface detector electronics
  • Citing Article
  • October 2023

Journal of Instrumentation