### Abstract

We present a joint weak-lensing/X-ray study of galaxy cluster mass-observable scaling relations motivated by the critical importance of accurate calibration of mass proxies for future X-ray missions, including eROSITA. We use a sample of 12 clusters at z ≃ 0.2 that we have observed with Subaru and XMM-Newton to construct relationships between the weak-lensing mass (M) and three X-ray observables, gas temperature (T), gas mass (M _{gas}), and quasiintegrated gas pressure (Y_{X}), at overdensities of Δ = 2500, 1000, and 500 with respect to the critical density.We find that M_{gas} at Δ ≤ 1000 appears to be the most promising mass proxy of the three because it has the lowest intrinsic scatter in mass at a fixed observable, σ_{lnM} ≃ 0.1, independent of the cluster dynamical state. The scatter in mass at fixed T and Y_{X} is a factor of ∼2-3 larger than at fixed_{Mgas}, which are indicative of the structural segregation that we find in theM-T andM-Y_{X} relationships. Undisturbed clusters are found to be ∼40% and ∼20% more massive than disturbed clusters at fixed T and Y_{X}, respectively, at∼2σ significance. In particular, A 1914-a well-known merging cluster-significantly increases the scatter and lowers the normalization of the relation for disturbed clusters. We also investigated the covariance between the intrinsic scatter in M-M_{gas} and M-T relations, finding that they are positively correlated. This contradicts the adaptive mesh refinement simulations that motivated the idea that Y_{X} may be a low-scatter mass proxy, and agrees with more recent smoothed particle hydrodynamic simulations based on the Millennium Simulation. We also propose a method to identify a robust mass proxy based on principal component analysis. The statistical precision of our results is limited by the small sample size and the presence of the extreme merging cluster in our sample.We therefore look forward to studying a larger, more complete sample in the future.

Original language | English |
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Pages (from-to) | 875-885 |

Number of pages | 11 |

Journal | Astrophysical Journal |

Volume | 721 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2010 Sep 20 |

### Keywords

- Cosmology: observations
- Dark matter
- Galaxies: clusters: general
- Gravitational lensing: weak
- X-rays: galaxies: clusters

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

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## Cite this

*Astrophysical Journal*,

*721*(1), 875-885. https://doi.org/10.1088/0004-637X/721/1/875