**2.4 Combined Higgs boson decays to** *γγ***, ZZ<sup>∗</sup>** ! **4l, and** *bb*

The Higgs boson differential transverse momentum cross section is undoubtedly adequately described by perturbation theory (see [34] for a review). An investigation is undertaken to determine whether the thermalization process due to entanglement is present in this system. The Higgs boson differential cross sections (differential in transverse momentum *pT*) have been measured by both ATLAS and CMS collaborations [35–37] and most recently from [38].

In **Figure 5** the transverse momentum distribution of the Higgs bosons is shown in the range from 5 GeV to 700 GeV for combined ATLAS and CMS data at 13 TeV *pp* collision energy. As can be seen from **Figure 5**, there clearly are both the hard scattering (power law) and thermal (exponential) components in the transverse momentum distribution, similarly to the case explored in Section 2.2. Not surprisingly, the separation between the hard and thermal components is even more defined due to the much larger range of the available transverse momenta.

Interestingly, the ratio *R* defined by (Eq. (10)) and extracted from **Figure 5** is *R* ¼ 0*:*15 � 0*:*03 that is very close to the one determined from the charged hadron distribution in proton-proton collisions studied in Section 2.2, *R* ¼ 0*:*16 � 0*:*05.

#### **Figure 5.**

*Normalized fiducial Higgs differential cross section versus transverse momentum reconstructed from the combination of H* ! *γγ, four leptons, and bbarb decay in proton-proton collisions at* ffiffi *<sup>s</sup>* <sup>p</sup> <sup>¼</sup> <sup>13</sup> *TeV from both the ATLAS and CMS collaborations [38].*
