A. Fuster’s research while affiliated with Instituto de Tecnologías en Detección y Astropartículas and other places

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Publications (133)


FIG. 2. Simulated near horizontal UHECR shower (θ sim = 89.6 • ) that is mis-reconstructed as upward-going and part of the background with a discrimination variable l = 1 (c.f. Eq. 1 in main text). The top plot shows a camera view of the event. The colors indicate again the time ordering of triggered pixels (purple first, red last). Isolated pixels shown in gray color are noise pixels that are not used for the reconstruction. The bottom plot shows the mis-reconstructed profile of deposited energy for the upward-going geometry using the standard methods to convert the amount of light per time-bin into energy loss, dE/dX, per slant depth, X [44].
A search for the anomalous events detected by ANITA using the Pierre Auger Observatory
  • Preprint
  • File available

February 2025

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29 Reads

The Pierre Auger Collaboration

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A. Abdul Halim

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P. Abreu

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[...]

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A. Zeolla

A dedicated search for upward-going air showers at zenith angles exceeding 110110^\circ and energies E>0.1E>0.1 EeV has been performed using the Fluorescence Detector of the Pierre Auger Observatory. The search is motivated by two "anomalous" radio pulses observed by the ANITA flights I and III which appear inconsistent with the Standard Model of particle physics. Using simulations of both regular cosmic ray showers and upward-going events, a selection procedure has been defined to separate potential upward-going candidate events and the corresponding exposure has been calculated in the energy range [0.1-33] EeV. One event has been found in the search period between 1 Jan 2004 and 31 Dec 2018, consistent with an expected background of 0.27±0.120.27 \pm 0.12 events from mis-reconstructed cosmic ray showers. This translates to an upper bound on the integral flux of (7.2±0.2)×1021(7.2 \pm 0.2) \times 10^{-21} cm2^{-2} sr1^{-1} y1^{-1} and (3.6±0.2)×1020(3.6 \pm 0.2) \times 10^{-20} cm2^{-2} sr1^{-1} y1^{-1} for an E1E^{-1} and E2E^{-2} spectrum, respectively. An upward-going flux of showers normalized to the ANITA observations is shown to predict over 34 events for an E3E^{-3} spectrum and over 8.1 events for a conservative E5E^{-5} spectrum, in strong disagreement with the interpretation of the anomalous events as upward-going showers.

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Figure 5: The bias (top) and resolution (bottom) of the energy calibration for proton events defined by equation 3.4.
Figure 7: Left: The ratio between the standard deviation of the number of impinging muons on UMD stations and its average value as a function of the distance to the shower axis for proton events in the quoted reconstructed energy intervals. The vertical dashed line represents the choice of r pr = 200 m. Right: The muon density at 200 m from the shower axis for proton-initiated showers as a function of the reconstructed energy. In both panels, events with θ < 23 • are employed, as an example.
Figure 8: The free parameters of equation 4.2 estimated by χ 2 minimization to the muon densities in angular bins with superimposed fitted quadratic and constant models.
Photon Proton Data
Search for a diffuse flux of photons with energies above tens of PeV at the Pierre Auger Observatory

February 2025

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27 Reads

Diffuse photons of energy above 0.1 PeV, produced through the interactions between cosmic rays and either interstellar matter or background radiation fields, are powerful tracers of the distribution of cosmic rays in the Galaxy. Furthermore, the measurement of a diffuse photon flux would be an important probe to test models of super-heavy dark matter decaying into gamma-rays. In this work, we search for a diffuse photon flux in the energy range between 50 PeV and 200 PeV using data from the Pierre Auger Observatory. For the first time, we combine the air-shower measurements from a 2 km2^2 surface array consisting of 19 water-Cherenkov surface detectors, spaced at 433 m, with the muon measurements from an array of buried scintillators placed in the same area. Using 15 months of data, collected while the array was still under construction, we derive upper limits to the integral photon flux ranging from 13.3 to 13.8 km2^{-2} sr1^{-1} yr1^{-1} above tens of PeV. We extend the Pierre Auger Observatory photon search program towards lower energies, covering more than three decades of cosmic-ray energy. This work lays the foundation for future diffuse photon searches: with the data from the next 10 years of operation of the Observatory, this limit is expected to improve by a factor of \sim20.


The Pierre Auger Observatory open data

January 2025

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58 Reads

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1 Citation

The European Physical Journal C

The Pierre Auger Collaboration has embraced the concept of open access to their research data since its foundation, with the aim of giving access to the widest possible community. A gradual process of release began as early as 2007 when 1% of the cosmic-ray data was made public, along with 100% of the space-weather information. In February 2021, a portal was released containing 10% of cosmic-ray data collected by the Pierre Auger Observatory from 2004 to 2018, during the first phase of operation of the Observatory. The Open Data Portal includes detailed documentation about the detection and reconstruction procedures, analysis codes that can be easily used and modified and, additionally, visualization tools. Since then, the Portal has been updated and extended. In 2023, a catalog of the highest-energy cosmic-ray events examined in depth has been included. A specific section dedicated to educational use has been developed with the expectation that these data will be explored by a wide and diverse community, including professional and citizen scientists, and used for educational and outreach initiatives. This paper describes the context, the spirit, and the technical implementation of the release of data by the largest cosmic-ray detector ever built and anticipates its future developments.


Inference of the Mass Composition of Cosmic Rays with Energies from 10 18.5 to 10 20 eV Using the Pierre Auger Observatory and Deep Learning

January 2025

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10 Reads

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6 Citations

Physical Review Letters

We present measurements of the atmospheric depth of the shower maximum X max , inferred for the first time on an event-by-event level using the surface detector of the Pierre Auger Observatory. Using deep learning, we were able to extend measurements of the X max distributions up to energies of 100 EeV ( 10 20 eV ), not yet revealed by current measurements, providing new insights into the mass composition of cosmic rays at extreme energies. Gaining a 10-fold increase in statistics compared to the fluorescence detector data, we find evidence that the rate of change of the average X max with the logarithm of energy features three breaks at 6.5 ± 0.6 ( stat ) ± 1 ( syst ) EeV , 11 ± 2 ( stat ) ± 1 ( syst ) EeV , and 31 ± 5 ( stat ) ± 3 ( syst ) EeV , in the vicinity to the three prominent features (ankle, instep, suppression) of the cosmic-ray flux. The energy evolution of the mean and standard deviation of the measured X max distributions indicates that the mass composition becomes increasingly heavier and purer, thus being incompatible with a large fraction of light nuclei between 50 and 100 EeV. Published by the American Physical Society 2025


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

January 2025

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20 Reads

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6 Citations

Physical Review D

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


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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4 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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3 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


Advances in the Goertzel Filter Bank Channelizer for Cryogenic Sensors Readout

September 2024

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46 Reads

Journal of Low Temperature Physics

Neutrino mass estimation experiments and cosmic microwave background (CMB) radiation surveys both employ low-temperature detectors (LTD) known as calorimeters and bolometers, respectively. These detectors operate typically between 10 and 300 mK. LTDs multiplexed by means of a microwave superconducting quantum interference device multiplexer (µMUX) demonstrated to be an excellent device for the readout of several detectors in the microwave region. This entails generating a multi-tonal signal and its subsequent readout. A single-tone detection method based on a Goertzel filter bank (GFB) channelizer was used for the readout of the aforementioned signal, implemented in a software-defined radio readout architecture within a field-programmable gate array. The measurements presented here demonstrate remarkable results in validating the suitability of the GFB channelizer for this system.


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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36 Reads

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5 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.


Citations (55)


... Here, we present the analysis of real multivariate data; specifically the arrival coordinates and energies of cosmic rays of extragalactic origin, as measured by the Pierre Auger Observatory [13]. Here, we consider the latest public dataset [14], consisting of 2,635 ultrahigh energy cosmic rays above 32 EeV. The arrival directions of each event are expressed in equatorial coordinates, (α, δ), the right ascension (R.A.) and declination (Dec.) ...

Reference:

Goodness-of-fit tests for arbitrary multivariate models
The Pierre Auger Observatory open data

The European Physical Journal C

... This has changed with deep networks that are able to analyze even tiny patterns in data with unprecedented precision. In turn, using DNNs, the event reconstruction capabilities for cosmic-ray research [21][22][23], neutrino [24,25]-, and gamma astronomy [26][27][28][29][30] could be significantly improved, leading to new insights into the universe at the highest energies [31][32][33]. ...

Inference of the Mass Composition of Cosmic Rays with Energies from 10 18.5 to 10 20 eV Using the Pierre Auger Observatory and Deep Learning

Physical Review Letters

... This has changed with deep networks that are able to analyze even tiny patterns in data with unprecedented precision. In turn, using DNNs, the event reconstruction capabilities for cosmic-ray research [21][22][23], neutrino [24,25]-, and gamma astronomy [26][27][28][29][30] could be significantly improved, leading to new insights into the universe at the highest energies [31][32][33]. ...

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 diffuse Galactic emission is produced by CRs propagating in the Milky Way and interacting with other nuclei in the Galaxy. The CR spectrum measured at Earth extends up to energies of several 10 20 eV, although the most energetic CRs are expected to have extragalactic origin (Abdul Halim et al. 2024). Many different models for the Galactic diffuse emission were developed. ...

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

The Astrophysical Journal

... In the range 10 18 to 10 19 eV, the analysis incorporates X max alongside F µ , a proxy for the muon content of the shower [7]. The parameter F µ is reconstructed using a model based on air shower universality [8,9], taking as input the signals measured by the surface detector (SD), the geometry of the shower, and X max from the fluorescence detector (FD). ...

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

... Among these, SBGs are slightly more favoured (4.2σ) than AGNs (3.3σ) based on correlation studies of arrival directions, although no study has achieved statistical significance for any specific source type. There is also a notable indication of correlation with the region of Centaurus A, which is part of the hotspot observed by the Pierre Auger Collaboration [32,33]. Nevertheless, interpreting the Centaurus A region remains particularly challenging due to the high density of sources of different natures within several degrees. ...

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

The Astrophysical Journal

... Since the composition of UHECR is uncertain and likely changes with energy [14,[33][34][35], we present our results for UHECR deflections in terms of rigidity R = E/Z rather than energy. At E = 10 EeV protons have the rigidity of R = 10 EV. ...

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

... Moments as well as full X max distributions can be interpreted in terms of logarithm of the mass number, ln A. Particular models of hadronic interactions must be used for this purpose, such a study is performed in Ref. [11]. However, recent results show that contemporary interaction models are unable to consistently describe both SD and FD data of the Pierre Auger Observatory together [12], which leads to modified predictions of X max , shown in Fig. 3, and thus a changed ln A interpretation. ...

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

... The astrophysical factor is determined by the distribution of dark matter particles in the Galaxy, and it has associated ∼ 10% uncertainty [76]. Null results of searches in Auger data lead to limits on the X-lifetime [6,77], and advances in constraint-based GUT modeling [78][79][80]. Moreover, since the mass scale of SHDM is O(GUT), GCOS will be a unique background free dark matter indirect detection experiment: a clear detection of an extreme energy photon would be momentous discovery. ...

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

Physical Review D

... Additionally to the Johnson-Nyquist noise, spurious signals generated by the electronics 16 can also be included as additive interferences, but for the scope of this work, they will not be included because unlike noise, they are localized in frequency and can be separately mitigated. 32 ...

Spectral Engineering for Optimal Signal Performance in the Microwave SQUID Multiplexer

Journal of Low Temperature Physics