Recovery of hadronic cross section inside the mini black holes at LHC

TL;DR

This paper investigates Higgs and quark production inside and outside mini black holes at the LHC, analyzing how quantum effects and perturbation order influence hadronic cross sections, revealing potential observable signatures.

Contribution

It introduces a novel analysis of Higgs and quark production inside black hole shells using the Unruh effect and entangled states, highlighting effects on hadronic cross sections at different black hole masses.

Findings

Higgs can be produced inside black holes for 2.5-12.5 TeV MBH.

Outside black holes produce quarks for 3-10 TeV MBH.

Higher-order perturbations increase Higgs production channels.

Abstract

In curved space time inside the shell of TeV black holes, many gluons and quarks produce due to Unruh effect, interact with each other and create Higgs boson. Studying the Unruh effect, we show that the inside state of the black hole for gluons and quarks can be represented by a maximally entangled two mode squeezed state of inside and matter Hilbert spaces of black hole. Comparing the Higgs boson production outside and inside the shell, we observe that at lower mass, MBH<4 TeV, and at higher mass, MBH>9 TeV, the Higgs boson will not be produced outside the shell of black hole. However this particle can be produced inside the shell for 2.5 TeV<MBH<12.5 TeV. We find that the outside the shell of black hole is able to produce a quark for 3 TeV<MBH<10 TeV and eventually for MBH<3 TeV and MBH> 12.5 TeV the black hole can only emit massless gluons. However, inside the shell of black hole is able to produce a quark for 2.5 TeV<MBH<14 TeV. We also find that the micro black hole can be a source for Higgs production at LHC. Finally we calculate the effects of Higgs boson radiation due to inside the shell and outside the shell of mini black holes on hadronic cross section at LHC. We observe that as the order of perturbation theory increases, this effect becomes systematically more effective because at higher orders there exists more channels for Higgs production and their decay of Higgs into massive quark-anti quarks in our calculation. At smaller mass, MBH<2 TeV, the NNLO contribution is large while the cross sections at NLO and at LO are rising and respectively exhibit a turn-over at moderate values of black hole's mass.The peak moves from about 5 TeV to 2.5 TeV. It is concluded that the processes of hadronization inside the event horizon of mini black holes are affected the hadronic cross section outside the event horizon and can be observed at LHC.