Nonextensivity and temperature fluctuations of the Higgs boson production

TL;DR

This paper investigates temperature fluctuations in Higgs boson production using QCD-based models, revealing significant deviations from thermal expectations and highlighting the nonthermal nature of Higgs boson transverse momentum spectra.

Contribution

It introduces a novel analysis of temperature fluctuations in Higgs production via string tension distributions and demonstrates the nonthermal behavior of Higgs boson spectra in high-energy collisions.

Findings

Higgs boson temperature fluctuations follow heavy-tailed distributions.

The average Higgs temperature is about 85 times higher than that of charged particles.

Higgs production shows the largest deviation from thermal models.

Abstract

We determine the temperature fluctuations associated with the Higgs boson $p_T$ spectrum through the derivation of the string tension distribution corresponding to the QCD-based Hagedorn function, frequently used to fit the transverse momentum distribution (TMD). The identified string tension fluctuations are heavy tailed, behaving similarly to the $q$-Gaussian distribution. After the convolution with the Schwinger mechanism, both approaches correctly describe the entire TMD. This approach is the onset for the nonthermal description of the particle production in ultrarelativistic pp collisions. By analyzing the data of pp collisions at $\sqrt{s} =13$ TeV, we found that the average temperature associated with the Higgs boson differential cross section is around 85 times greater than the estimated value for the charged particle TMD. Our results show that the Higgs boson production exhibits the largest deviation from the thermal description.