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arXiv:2310.06373v2 [astro-ph.CO] 13 Oct 2023

NIKA2 observations of 3 low-mass galaxy clusters at z1z\sim 1: pressure profile and YSZMY_{\rm SZ}-M relation

\lastnameR. Adam\fnsep Email: remi.adam@oca.eu Thanks:  Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France Affiliation: LLR, CNRS, École Polytechnique, Institut Polytechnique de Paris    \lastnameM. Ricci Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France Affiliation: Université Paris Cité, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France Affiliation: Laboratoire d’Annecy de Physique des Particules, Université Savoie Mont Blanc, CNRS/IN2P3, F-74941 Annecy, France    \lastnameD. Eckert Affiliation: Department of Astronomy, University of Geneva, ch. d’Ecogia 16, CH-1290 Versoix, Switzerland    \lastnameP. Ade Affiliation: School of Physics and Astronomy, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, UK    \lastnameH. Ajeddig Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameB. Altieri Affiliation: European Space Astronomy Centre (ESA/ESAC), Operations Department, Villanueva de la Canãda, Madrid, Spain    \lastnameP. André Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameE. Artis Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameH. Aussel Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameA. Beelen Affiliation: Aix Marseille Université, CNRS, LAM (Laboratoire d’Astrophysique de Marseille) UMR 7326, 13388, Marseille, France    \lastnameC. Benoist Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France    \lastnameA. Benoît Affiliation: Institut Néel, CNRS and Université Grenoble Alpes, France    \lastnameS. Berta Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Grenoble, France    \lastnameL. Bing Affiliation: Aix Marseille Université, CNRS, LAM (Laboratoire d’Astrophysique de Marseille) UMR 7326, 13388, Marseille, France    \lastnameM. Birkinshaw Thanks: Deceased Affiliation: HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK    \lastnameO. Bourrion Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameD. Boutigny Affiliation: Laboratoire d’Annecy de Physique des Particules, Université Savoie Mont Blanc, CNRS/IN2P3, F-74941 Annecy, France    \lastnameM. Bremer Affiliation: HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK    \lastnameM. Calvo Affiliation: Institut Néel, CNRS and Université Grenoble Alpes, France    \lastnameA. Cappi Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France Affiliation: Istituto Nazionale di Astrofisica (INAF) - Osservatorio di Astrofisica e Scienza dello Spazio (OAS), via Gobetti 93/3, I-40127 Bologna, Italy    \lastnameA. Catalano Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameM. De Petris Affiliation: Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, I-00185 Roma, Italy    \lastnameF.-X. Désert Affiliation: Univ. Grenoble Alpes, CNRS, IPAG, F-38000 Grenoble, France    \lastnameS. Doyle Affiliation: School of Physics and Astronomy, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, UK    \lastnameE. F. C. Driessen Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Grenoble, France    \lastnameL. Faccioli Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameC. Ferrari Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France    \lastnameF. Gastaldello Affiliation: INAF - IASF Milan, via A. Corti 12, I-20133 Milano, Italy    \lastnameP. Giles Affiliation: Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UK    \lastnameA. Gomez Affiliation: Centro de Astrobiología (CSIC-INTA), Torrejón de Ardoz, 28850 Madrid, Spain    \lastnameJ. Goupy Affiliation: Institut Néel, CNRS and Université Grenoble Alpes, France    \lastnameO. Hahn Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France    \lastnameC. Hanser Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameC. Horellou Affiliation: Department of Space, Earth and Environment, Chalmers University of Technology, Onsala Space Observatory, SE-439 92 Onsala, Sweden    \lastnameF. Kéruzoré Affiliation: High Energy Physics Division, Argonne National Laboratory, 9700 South Cass Avenue, Lemont, IL 60439, USA    \lastnameE. Koulouridis Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022) Affiliation: Institute for Astronomy & Astrophysics, Space Applications & Remote Sensing, National Observatory of Athens, GR-15236 Palaia Penteli,Greece    \lastnameC. Kramer Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Grenoble, France    \lastnameB. Ladjelate Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Granada, Spain    \lastnameG. Lagache Affiliation: Aix Marseille Université, CNRS, LAM (Laboratoire d’Astrophysique de Marseille) UMR 7326, 13388, Marseille, France    \lastnameS. Leclercq Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Grenoble, France    \lastnameJ.-F. Lestrade Affiliation: LERMA, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, 75014 Paris, France    \lastnameJ.F. Macías-Pérez Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameS. Madden Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameB. Maughan Affiliation: HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK    \lastnameS. Maurogordato Affiliation: Laboratoire Lagrange, Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Blvd de l’Observatoire, CS 34229, 06304 Nice cedex 4, France    \lastnameA. Maury Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameP. Mauskopf Affiliation: School of Physics and Astronomy, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, UK Affiliation: School of Earth and Space Exploration and Department of Physics, Arizona State University, Tempe, AZ 85287    \lastnameA. Monfardini Affiliation: Institut Néel, CNRS and Université Grenoble Alpes, France    \lastnameM. Muñoz-Echeverría Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameF. Pacaud Affiliation: Argelander Institut für Astronomie, Universität Bonn, Auf dem Huegel 71, DE-53121 Bonn, Germany    \lastnameL. Perotto Affiliation: Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes, CNRS/IN2P3, 53, avenue des Martyrs, Grenoble, France    \lastnameM. Pierre Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameG. Pisano Affiliation: Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, I-00185 Roma, Italy    \lastnameE. Pompei Affiliation: European Southern Observatory, Alonso de Cordova 3107, Vitacura, 19001 Casilla, Santiago 19, Chile    \lastnameN. Ponthieu Affiliation: Univ. Grenoble Alpes, CNRS, IPAG, F-38000 Grenoble, France    \lastnameV. Revéret Affiliation: Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, F-91191, Gif-sur-Yvette, France (2022)    \lastnameA. Rigby Affiliation: School of Physics and Astronomy, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, UK    \lastnameA. Ritacco Affiliation: INAF-Osservatorio Astronomico di Cagliari, Via della Scienza 5, 09047 Selargius, Italy Affiliation: LPENS, Ecole Normale Supérieure, 24 rue Lhomond, 75005, Paris (FR)    \lastnameC. Romero Affiliation: Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104, USA    \lastnameH. Roussel Affiliation: Institut d’Astrophysique de Paris, Sorbonne Universités, UPMC Univ. Paris 06, CNRS UMR 7095, 75014 Paris, France    \lastnameF. Ruppin Affiliation: Univ. Lyon, Univ. Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, 69622 Villeurbanne, France    \lastnameM. Sereno Affiliation: Istituto Nazionale di Astrofisica (INAF) - Osservatorio di Astrofisica e Scienza dello Spazio (OAS), via Gobetti 93/3, I-40127 Bologna, Italy Affiliation: INFN, Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy    \lastnameK. Schuster Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Grenoble, France    \lastnameA. Sievers Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Granada, Spain    \lastnameG. Tintoré Vidal Affiliation: LLR, CNRS, École Polytechnique, Institut Polytechnique de Paris    \lastnameC. Tucker Affiliation: School of Physics and Astronomy, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, UK    \lastnameR. Zylka Affiliation: Institut de RadioAstronomie Millimétrique (IRAM), Grenoble, France
Abstract

Three galaxy clusters selected from the XXL X-ray survey at high redshift and low mass (z1z\sim 1 and M50012×1014M_{500}\sim 1-2\times 10^{14} M) were observed with NIKA2 to image their Sunyaev-Zel’dovich effect (SZ) signal. They all present an SZ morphology, together with the comparison with X-ray and optical data, that indicates dynamical activity related to merging events. Despite their disturbed intracluster medium, their high redshifts, and their low masses, the three clusters follow remarkably well the pressure profile and the SZ flux-mass relation expected from standard evolution. This suggests that the physics that drives cluster formation is already in place at z1z\sim 1 down to M5001014M_{500}\sim 10^{14} M.

1 Introduction

Galaxy clusters are important astrophysical objects that provide insights into the formation and evolution of cosmic structures. Understanding the properties of their intracluster medium (ICM) is crucial for both cosmology and astrophysics. The thermal pressure profile of the ICM provides valuable information about the matter distribution within galaxy clusters. It reflects how the gas is compressed within the cluster’s gravitational potential well. Additionally, the YSZMY_{\rm SZ}-M scaling relation is an important tool for measuring cluster masses, as it relates to the Sunyaev-Zel’dovich (Sunyaev1972, SZ, see) flux (YSZY_{\rm SZ}, which directly measures the thermal energy of the ICM) to the total cluster mass, MM (see Mroczkowski2019, for a review).

While the thermal pressure profile and the YSZMY_{\rm SZ}-M scaling relation have been extensively studied up to intermediate redshifts (Arnaud2010; PlanckV2013, e.g.,), there is a lack of detailed observations in the low-mass, high-redshift regime. In this proceeding, we bridge this observational gap by presenting detailed SZ observations of three low-mass (M5002×1014M_{500}\sim 2\times 10^{14} M) galaxy clusters at z1z\sim 1 selected from the XXL X-ray survey. These clusters, namely XLSSC 072, XLSSC 100, and XLSSC 102 were imaged using the NIKA2 millimeter camera on the IRAM 30-meter telescope at 150 GHz and 260 GHz (Adam2018a).

By combining the SZ observations with X-ray and optical data, we investigate the dynamic state of the clusters and derive their thermal pressure profiles. We also extract the SZ fluxes and compare them with expectations based on the standard evolution of the ICM properties calibrated on nearby massive systems. This analysis allows us to explore any deviations from the expected evolution in the ICM properties for low-mass clusters at high redshifts, where astrophysical processes are expected to have a more significant impact (Fakhouri2010; Pop2022).

This proceeding is organized as follows: Section 2 presents the cluster selection and the observations, Section 3 discusses the data analysis used to address the cluster dynamical state, extract the pressure profile and the YSZMY_{\rm SZ}-M relation, in Section 4, we summarize our main findings and conclusions. See adam2023xxl for the full results. See also (Ricci2020) for the detailed analysis of the first cluster XLSSC 102.

2 Target selection and observations

We selected our target clusters from the XXL survey (Pierre2016). The XXL survey’s selection function enabled the identification of clusters at low mass and high redshift (Pacaud2016). We specifically focused on the securely detected XXL clusters (C1) from the northern region (XXL-N), observable from the IRAM 30m telescope. Optical detections using galaxy overdensity were used for independent confirmation, with robust spectroscopic redshift estimates (Adami2018). We selected three clusters, XLSSC 072, XLSSC 100, and XLSSC 102, at a redshift z1z\sim 1 and M50012×1014M_{500}\sim 1-2\times 10^{14} M, for NIKA2 observations.

The observations were conducted between January 2018 and February 2020. XLSSC 072, XLSSC 100, and XLSSC 102 were observed for 10, 10, and 6.6 hours, respectively. The data reduction followed the procedure described in Adam2015 and Adam2016. The data analysis included estimating the astrophysical signal filtering induced by the data reduction and deriving the noise statistical properties through power spectrum analysis and Monte Carlo simulations. Overall, the observational details and data reduction process for all three clusters were consistent with the characteristics of the NIKA2 instrument (Perotto2020).

After smoothing the NIKA2 data to an effective resolution of 27 arcsec, XLSSC 072, XLSSC 100, and XLSSC 102, are detected with a peak signal-to-noise ratio (S/N) of -9.7, -9.2, and -6.9, respectively. Radio and submillimeter point sources were removed from the SZ images prior to further analysis.

3 Analysis and results

3.1 Dynamical state

The SZ data were combined with X-ray (XXL survey Pierre2016) and optical images (CFHTLS Gwyn2012 and HSC Aihara2022) and analyzed to trace the ICM thermal pressure, the ICM thermal density, and the collisionless galaxy population, respectively. Comparing these tracers provides valuable insights into the clusters’ dynamical properties.

The multiwavelength analysis shows that all three clusters exhibit deviations from spherical symmetry, indicating the presence of disturbances in the gas and galaxy distribution, likely due to merging events. The SZ and X-ray signals agree well on large scales but may differ on smaller scales, suggesting local compressions caused by merging. The surface brightness distributions of both SZ and X-ray signals are relatively flat, indicating dynamically disturbed systems without prominent X-ray peaks associated with relaxed clusters.

3.2 Mass measurement

The masses were estimated using two main methods.

  1. 1.

    Combining the X-ray derived density profile (Eckert2011; Eckert2020) and the SZ-derived pressure profile (see below) via the hydrostatic equilibrium assumption,

    MHSE(r)=r2μgasmpne(r)GdPe(r)dr.M_{\rm HSE}(r)=-\frac{r^{2}}{\mu_{\rm gas}m_{\rm p}n_{\rm e}(r)G}\frac{dP_{e}(r)}{dr}. (1)

    This provides a direct measurement but is more sensitive to systematics (hydrostatic mass bias, clumping, etc).

  2. 2.

    Using the scaling relation between YX,500=Mgas(R500)kBTY_{\rm X,500}=M_{\rm gas}(R_{500})\ k_{\rm B}T and the mass from Arnaud2010,

    E(z)2/3(YX,5002×1014MkeV)=100.376×(MHSE,5006×1014M)1.78.E(z)^{-2/3}\left(\frac{Y_{{\rm X},500}}{2\times 10^{14}{\rm M}_{\odot}{\rm keV}}\right)=10^{0.376}\times\left(\frac{M_{{\rm HSE},500}}{6\times 10^{14}{\rm M}_{\odot}}\right)^{1.78}. (2)

    The gas mass MgasM_{\rm gas} and temperature kBTk_{\rm B}T were extracted from X-ray data. This provides a robust mass proxy but relies on local calibration.

We obtain direct hydrostatic masses of MHSE,500=1.930.30+0.38M_{\rm HSE,500}=1.93_{-0.30}^{+0.38}, 2.550.73+1.462.55_{-0.73}^{+1.46} and 1.120.20+0.221.12_{-0.20}^{+0.22} M for XLSSC 072, XLSSC 100 and XLSSC 102, respectively. The masses based on the YXY_{\rm X} proxy are MYX,500=1.980.17+0.31M_{Y_{\rm X},500}=1.98_{-0.17}^{+0.31}, 2.130.33+0.492.13_{-0.33}^{+0.49}, and 1.880.19+0.281.88_{-0.19}^{+0.28} M for the same clusters. They agree well within error bars, although a 2σ2\sigma tension is observed for XLSSC 102 (see discussion hereafter).

3.3 Pressure profile

The pressure profile of the three clusters was measured using three different methodologies.

  1. 1.

    Forward modeling of the NIKA2 data using a gNFW pressure profile (Nagai2007), given by

    Pe(r)=P0(rrp)c(1+(rrp)a)bca.P_{e}(r)=\frac{P_{0}}{\left(\frac{r}{r_{p}}\right)^{c}\left(1+\left(\frac{r}{r_{p}}\right)^{a}\right)^{\frac{b-c}{a}}}. (3)
  2. 2.

    Non-parametric fitting of a binned pressure profile. We defined the pressure at five radii, logarithmically spaced from 50 kpc to 1 Mpc.

  3. 3.

    Forward modeling of the NIKA2 data using an NFW (Navarro1996) hydrostatic mass profile combined with the density profile derived from X-ray data. According to equation 1, the pressure is modeled as

    Pe(r)=Pe(r0)+rr0μgasmpGne(r)MHSE(r)r2dr,P_{e}(r)=P_{e}(r_{0})+\int_{r}^{r_{0}}\frac{\mu_{\rm gas}m_{\rm p}Gn_{e}(r^{\prime})M_{\rm HSE}(r^{\prime})}{{r^{\prime}}^{2}}dr^{\prime}, (4)

Assuming standard evolution and given our mass estimates, the pressure profiles align well with the dynamical state analysis. Alternatively, considering the prior knowledge of the cluster dynamical states, the data agree favorably with the pressure profile calibrated on low-redshift clusters (Arnaud2010) and scaled to low mass and high redshift using standard evolution (see Figure 1). All the pressure profiles recovered with the various methodologies exhibit excellent agreement within the uncertainties at all radii. Most of the uncertainty is due to the difficulty in having precise and robust mass measurements at these redshifts and mass scales.

Figure 1: NIKA2 derived pressure profile and comparison with expectations from the universal pressure profile (UPP) from Arnaud2010, as well as morphologically disturbed (MD) and cool-core systems (CC), given YXY_{\rm X}-based masses. Figure extracted from (adam2023xxl).

3.4 Scaling relation

Our targets, XLSSC072, XLSSC100, and XLSSC 102, lie at the low-mass end of the Planck calibration sample (PlanckXX2014) but have higher redshifts (around z1z\sim 1) compared to the Planck clusters (around z0.2z\sim 0.2). When using the YXMY_{\rm X}-M relation for mass estimation, they follow the scaling relation remarkably well. When direct hydrostatic equilibrium mass measurements are used, XLSSC102 deviates from the scaling relation by approximately 2σ2\sigma. However, this deviation may be attributed to systematic uncertainties in mass measurement due to the complex morphology and dynamical state of this cluster or a significant hydrostatic mass bias, as discussed in detail in Ricci2020. The other clusters agree very well with the relation.

4 Conclusions

Our study aimed to investigate the SZ structure and properties of the ICM in three low-mass galaxy clusters at a redshift z1z\sim 1. By utilizing the NIKA2 camera, we obtained valuable resolved SZ data for these clusters, representing some of the first detailed observations of such low-mass systems at high redshifts.

Our analysis revealed evidence of ongoing merging activity in all three clusters, as indicated by their disturbed morphologies and deviations from compact spherically symmetric distributions. The pressure profiles of these clusters, rescaled according to standard evolution in mass and redshift, were found to be in agreement with those of local dynamically disturbed systems. Despite their perturbed ICM, low masses, and high redshifts, we did not observe any significant deviations in the YSZMY_{\rm SZ}-M scaling relation for our target clusters. While the sample size is not sufficient to draw statistical conclusions, these findings provide an initial indication that the scaling relations are stable down to masses of M5002×1014M_{500}\sim 2\times 10^{14} M and redshifts of z1z\sim 1. This may indicate that the cluster formation physics is already in place down to these masses and up to these redshifts

It is important to note that the comparison of the pressure profiles and scaling relation to those of local samples is limited by uncertainties in the mass estimates. This highlights the challenges in accurately determining and robustly estimating the mass in this relatively unexplored regime.

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