Table 5.

Expected and observed p-values for different spin-parity hypotheses, for each of the three channels $H\to \mathit{\gamma }\mathit{\gamma }$, $H\to Z{Z}^{\ast }\to 4\ell$, and $H\to W{W}^{\ast }\to e\mathit{\nu }\mathit{\mu }\mathit{\nu }$. The observed ${\mathrm{CL}}_{\mathrm{s}}$ for the alternative hypotheses are reported in the last column. The expected and observed p-values and the observed ${\mathrm{CL}}_{\mathrm{s}}$ are defined in Sect. 5.5 and the alternative hypotheses are those described in Sect. 3

Tested hypothesis	$p_{\exp ,\mathit{\mu }=1}^{\mathrm{alt}}$	$p_{\exp ,\mathit{\mu }=\widehat{\mathit{\mu }}}^{\mathrm{alt}}$	$p_{\mathrm{obs}}^{\mathrm{SM}}$	$p_{\mathrm{obs}}^{\mathrm{alt}}$	Obs. ${\mathrm{CL}}_{\mathrm{s}}$ (%)
$H\to \mathit{\gamma }\mathit{\gamma }$
$2^{+}({\mathit{\kappa }}_q={\mathit{\kappa }}_g)$	0.13	$7.5\times {10}^{-2}$	0.13	0.34	39
$2^{+}({\mathit{\kappa }}_q=0;p_{\text{T}}<300\text{GeV})$	$4.3\times {10}^{-4}$	$<3.1\times {10}^{-5}$	0.16	2.9$\times {10}^{-4}$	3.5$\times {10}^{-2}$
$2^{+}({\mathit{\kappa }}_q=0;p_{\text{T}}<125\text{GeV})$	$9.4\times {10}^{-2}$	5.6$\times {10}^{-2}$	0.23	0.20	26
$2^{+}({\mathit{\kappa }}_q=2{\mathit{\kappa }}_g;p_{\text{T}}<300\text{GeV})$	$9.1\times {10}^{-4}$	$<3.1\times {10}^{-5}$	0.16	8.6$\times {10}^{-4}$	0.10
$2^{+}({\mathit{\kappa }}_q=2{\mathit{\kappa }}_g;p_{\text{T}}<125\text{GeV})$	0.27	0.24	0.20	0.54	68
$H\to W{W}^{\ast }\to e\mathit{\nu }\mathit{\mu }\mathit{\nu }$
$0_h^{+}$	0.31	0.29	0.91	2.7$\times {10}^{-2}$	29
$0^{-}$	6.4$\times {10}^{-2}$	3.2$\times {10}^{-2}$	0.65	1.2$\times {10}^{-2}$	3.5
$2^{+}({\mathit{\kappa }}_q={\mathit{\kappa }}_g)$	6.4$\times {10}^{-2}$	3.3$\times {10}^{-2}$	0.25	0.12	16
$2^{+}({\mathit{\kappa }}_q=0;p_{\text{T}}<300\text{GeV})$	1.5$\times {10}^{-2}$	4.0$\times {10}^{-3}$	0.55	3.0$\times {10}^{-3}$	0.6
$2^{+}({\mathit{\kappa }}_q=0;p_{\text{T}}<125\text{GeV})$	5.6$\times {10}^{-2}$	2.9$\times {10}^{-2}$	0.42	4.4$\times {10}^{-2}$	7.5
$2^{+}({\mathit{\kappa }}_q=2{\mathit{\kappa }}_g;p_{\text{T}}<300\text{GeV})$	1.5$\times {10}^{-2}$	4.0$\times {10}^{-3}$	0.52	3.0$\times {10}^{-3}$	0.7
$2^{+}({\mathit{\kappa }}_q=2{\mathit{\kappa }}_g;p_{\text{T}}<125\text{GeV})$	4.4$\times {10}^{-2}$	2.2$\times {10}^{-2}$	0.69	7.0$\times {10}^{-3}$	2.2
$H\to Z{Z}^{\ast }\to 4\ell$
$0_h^{+}$	$3.2\times {10}^{-2}$	$5.2\times {10}^{-3}$	0.80	$3.6\times {10}^{-4}$	0.18
$0^{-}$	$8.0\times {10}^{-3}$	$3.6\times {10}^{-4}$	0.88	$1.2\times {10}^{-5}$	1.0$\times {10}^{-2}$
$2^{+}({\mathit{\kappa }}_q={\mathit{\kappa }}_g)$	$3.3\times {10}^{-2}$	$5.7\times {10}^{-4}$	0.91	$3.6\times {10}^{-5}$	4.0$\times {10}^{-2}$
$2^{+}({\mathit{\kappa }}_q=0;p_{\text{T}}<300\text{GeV})$	$3.9\times {10}^{-2}$	$9.0\times {10}^{-3}$	0.95	$2.7\times {10}^{-5}$	5.4$\times {10}^{-2}$
$2^{+}({\mathit{\kappa }}_q=0;p_{\text{T}}<125\text{GeV})$	$4.6\times {10}^{-2}$	$1.1\times {10}^{-2}$	0.93	$3.0\times {10}^{-5}$	4.3$\times {10}^{-2}$
$2^{+}({\mathit{\kappa }}_q=2{\mathit{\kappa }}_g;p_{\text{T}}<300\text{GeV})$	$4.6\times {10}^{-2}$	$1.1\times {10}^{-2}$	0.66	$3.3\times {10}^{-3}$	0.97
$2^{+}({\mathit{\kappa }}_q=2{\mathit{\kappa }}_g;p_{\text{T}}<125\text{GeV})$	$5.0\times {10}^{-2}$	$1.3\times {10}^{-2}$	0.88	$3.2\times {10}^{-4}$	0.27