Insights on gas thermodynamics from the combination of x-ray and thermal Sunyaev-Zel’dovich data cross correlated with cosmic shear

We measure the cross-correlation between cosmic shear from the third-year release of the Dark Energy Survey, thermal Sunyaev-Zel’dovich (tSZ) maps from , and x-ray maps from ROSAT. We investigate the possibility of developing a physical model able to jointly describe both measurements, simultaneously constraining the spatial distribution and thermodynamic properties of hot gas. We find that a relatively simple model is able to describe both sets of measurements and to make reasonably accurate predictions for other observables (the tSZ autocorrelation, its cross-correlation with x-rays, and tomographic measurements of the bias-weighted mean gas pressure). We show, however, that contamination from x-ray active galactic nuclei (AGN), as well as the impact of nonthermal pressure support, must be incorporated in order to fully resolve tensions in parameter space between different data combinations. Combining the tSZ and x-ray cross-correlations with cosmic shear we obtain simultaneous constraints on the mass scale at which half of the gas content has been expelled from the halo, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>log</a:mi></a:mrow><a:mrow><a:mn>10</a:mn></a:mrow></a:msub><a:msub><a:mrow><a:mi>M</a:mi></a:mrow><a:mrow><a:mi>c</a:mi></a:mrow></a:msub><a:mo>=</a:mo><a:mn>14.8</a:mn><a:msubsup><a:mrow><a:mn>3</a:mn></a:mrow><a:mrow><a:mo>−</a:mo><a:mn>0.23</a:mn></a:mrow><a:mrow><a:mo>+</a:mo><a:mn>0.16</a:mn></a:mrow></a:msubsup></a:mrow></a:math>, on the polytropic index of the gas, <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:mi mathvariant="normal">Γ</c:mi><c:mo>=</c:mo><c:mn>1.14</c:mn><c:msubsup><c:mrow><c:mn>4</c:mn></c:mrow><c:mrow><c:mo>−</c:mo><c:mn>0.013</c:mn></c:mrow><c:mrow><c:mo>+</c:mo><c:mn>0.016</c:mn></c:mrow></c:msubsup></c:mrow></c:math>, and on the ratio of the central gas temperature to the virial temperature <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mrow><f:msub><f:mrow><f:mi>α</f:mi></f:mrow><f:mrow><f:mi>T</f:mi></f:mrow></f:msub><f:mo>=</f:mo><f:mn>1.3</f:mn><f:msubsup><f:mrow><f:mn>0</f:mn></f:mrow><f:mrow><f:mo>−</f:mo><f:mn>0.28</f:mn></f:mrow><f:mrow><f:mo>+</f:mo><f:mn>0.15</f:mn></f:mrow></f:msubsup></f:mrow></f:math>, marginalizing over AGN contributions to the signal.