Galaxy cluster temperature maps from joint X-ray and tSZ maps with The Three Hundred hydrodynamical simulations

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Table 3.

Parameter values for the GHP template calibrations in the different Twin Samples.

	A₀	B₀	α	β	γ

Combined NTS
Relaxed Template	$4 . 012_{- 0.346}^{+ 1.004}$ $Mathematical equation: $ 4.012_{-0.346}^{+1.004} $$	$0 . 534_{- 0.168}^{+ 0.088}$ $Mathematical equation: $ 0.534_{-0.168}^{+0.088} $$	$0 . 540_{- 0.011}^{+ 0.013}$ $Mathematical equation: $ 0.540_{-0.011}^{+0.013} $$	$5 . 037_{- 1.692}^{+ 3.599}$ $Mathematical equation: $ 5.037_{-1.692}^{+3.599} $$	$1 . 083_{- 0.293}^{+ 1.130}$ $Mathematical equation: $ 1.083_{-0.293}^{+1.130} $$
Median Template	$3 . 973_{- 0.493}^{+ 1.122}$ $Mathematical equation: $ 3.973_{-0.493}^{+1.122} $$	0.463 ± 0.156	$0 . 501_{- 0.031}^{+ 0.038}$ $Mathematical equation: $ 0.501_{-0.031}^{+0.038} $$	$5 . 531_{- 2.542}^{+ 5.435}$ $Mathematical equation: $ 5.531_{-2.542}^{+5.435} $$	$1 . 418_{- 0.659}^{+ 1.920}$ $Mathematical equation: $ 1.418_{-0.659}^{+1.920} $$
Disturbed Template	$3 . 437_{- 0.154}^{+ 0.438}$ $Mathematical equation: $ 3.437_{-0.154}^{+0.438} $$	$0 . 500_{- 0.112}^{+ 0.058}$ $Mathematical equation: $ 0.500_{-0.112}^{+0.058} $$	$0 . 447_{- 0.009}^{+ 0.010}$ $Mathematical equation: $ 0.447_{-0.009}^{+0.010} $$	$8 . 508_{- 3.305}^{+ 4.170}$ $Mathematical equation: $ 8.508_{-3.305}^{+4.170} $$	$1 . 037_{- 0.257}^{+ 0.981}$ $Mathematical equation: $ 1.037_{-0.257}^{+0.981} $$

M_tot NTS

Relaxed Template	$5 . 168_{- 1.075}^{+ 1.028}$ $Mathematical equation: $ 5.168_{-1.075}^{+1.028} $$	$0 . 326_{- 0.092}^{+ 0.176}$ $Mathematical equation: $ 0.326_{-0.092}^{+0.176} $$	0.529 ± 0.009	$3 . 280_{- 0.584}^{+ 1.263}$ $Mathematical equation: $ 3.280_{-0.584}^{+1.263} $$	$2 . 062_{- 1.134}^{+ 1.881}$ $Mathematical equation: $ 2.062_{-1.134}^{+1.881} $$
Median Template	$4 . 010_{- 0.528}^{+ 1.189}$ $Mathematical equation: $ 4.010_{-0.528}^{+1.189} $$	0.452 ± 0.157	$0 . 507_{- 0.028}^{+ 0.034}$ $Mathematical equation: $ 0.507_{-0.028}^{+0.034} $$	$5 . 274_{- 2.346}^{+ 5.471}$ $Mathematical equation: $ 5.274_{-2.346}^{+5.471} $$	$1 . 400_{- 0.661}^{+ 1.964}$ $Mathematical equation: $ 1.400_{-0.661}^{+1.964} $$
Disturbed Template	$3 . 838_{- 0.339}^{+ 0.478}$ $Mathematical equation: $ 3.838_{-0.339}^{+0.478} $$	$0 . 392_{- 0.083}^{+ 0.088}$ $Mathematical equation: $ 0.392_{-0.083}^{+0.088} $$	$0 . 460_{- 0.009}^{+ 0.010}$ $Mathematical equation: $ 0.460_{-0.009}^{+0.010} $$	$6 . 821_{- 2.039}^{+ 4.091}$ $Mathematical equation: $ 6.821_{-2.039}^{+4.091} $$	$1 . 642_{- 0.784}^{+ 1.901}$ $Mathematical equation: $ 1.642_{-0.784}^{+1.901} $$

M_HE NTS

Relaxed Template	$3 . 660_{- 0.110}^{+ 0.177}$ $Mathematical equation: $ 3.660_{-0.110}^{+0.177} $$	$0 . 578_{- 0.049}^{+ 0.039}$ $Mathematical equation: $ 0.578_{-0.049}^{+0.039} $$	0.544 ± 0.008	$10 . 433_{- 3.288}^{+ 3.055}$ $Mathematical equation: $ 10.433_{-3.288}^{+3.055} $$	$0 . 825_{- 0.111}^{+ 0.190}$ $Mathematical equation: $ 0.825_{-0.111}^{+0.190} $$
Median Template	$3 . 882_{- 0.484}^{+ 1.060}$ $Mathematical equation: $ 3.882_{-0.484}^{+1.060} $$	$0 . 475_{- 0.159}^{+ 0.167}$ $Mathematical equation: $ 0.475_{-0.159}^{+0.167} $$	$0 . 506_{- 0.038}^{+ 0.044}$ $Mathematical equation: $ 0.506_{-0.038}^{+0.044} $$	$5 . 715_{- 2.628}^{+ 5.351}$ $Mathematical equation: $ 5.715_{-2.628}^{+5.351} $$	$1 . 370_{- 0.631}^{+ 1.934}$ $Mathematical equation: $ 1.370_{-0.631}^{+1.934} $$
Disturbed Template	$3 . 139_{- 0.065}^{+ 0.068}$ $Mathematical equation: $ 3.139_{-0.065}^{+0.068} $$	$0 . 659_{- 0.033}^{+ 0.034}$ $Mathematical equation: $ 0.659_{-0.033}^{+0.034} $$	0.433 ± 0.010	$12 . 768_{- 2.535}^{+ 1.605}$ $Mathematical equation: $ 12.768_{-2.535}^{+1.605} $$	$0 . 791_{- 0.081}^{+ 0.093}$ $Mathematical equation: $ 0.791_{-0.081}^{+0.093} $$

Y₅₀₀ NTS

Relaxed Template	$4 . 156_{- 0.320}^{+ 0.656}$ $Mathematical equation: $ 4.156_{-0.320}^{+0.656} $$	$0 . 551_{- 0.111}^{+ 0.073}$ $Mathematical equation: $ 0.551_{-0.111}^{+0.073} $$	$0 . 573_{- 0.011}^{+ 0.013}$ $Mathematical equation: $ 0.573_{-0.011}^{+0.013} $$	$5 . 028_{- 1.301}^{+ 2.047}$ $Mathematical equation: $ 5.028_{-1.301}^{+2.047} $$	$1 . 383_{- 0.310}^{+ 0.758}$ $Mathematical equation: $ 1.383_{-0.310}^{+0.758} $$
Median Template	$4 . 060_{- 0.582}^{+ 1.280}$ $Mathematical equation: $ 4.060_{-0.582}^{+1.280} $$	$0 . 466_{- 0.167}^{+ 0.179}$ $Mathematical equation: $ 0.466_{-0.167}^{+0.179} $$	$0 . 506_{- 0.027}^{+ 0.034}$ $Mathematical equation: $ 0.506_{-0.027}^{+0.034} $$	$4 . 847_{- 2.160}^{+ 5.388}$ $Mathematical equation: $ 4.847_{-2.160}^{+5.388} $$	$1 . 498_{- 0.721}^{+ 1.984}$ $Mathematical equation: $ 1.498_{-0.721}^{+1.984} $$
Disturbed Template	$6 . 674_{- 1.399}^{+ 1.736}$ $Mathematical equation: $ 6.674_{-1.399}^{+1.736} $$	$0 . 180_{- 0.047}^{+ 0.089}$ $Mathematical equation: $ 0.180_{-0.047}^{+0.089} $$	$0 . 495_{- 0.023}^{+ 0.026}$ $Mathematical equation: $ 0.495_{-0.023}^{+0.026} $$	$1 . 698_{- 0.281}^{+ 0.403}$ $Mathematical equation: $ 1.698_{-0.281}^{+0.403} $$	$3 . 211_{- 1.229}^{+ 1.170}$ $Mathematical equation: $ 3.211_{-1.229}^{+1.170} $$

Notes. The parameter values are given with the 16th and 84th percentiles from our posterior distributions.

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