Higgs decay into two photons in a warped extra dimension

Area of Science:

• High Energy Physics
• Theoretical Physics
• Particle Physics

Background:

• The Standard Model (SM) describes fundamental particles and forces.
• Randall-Sundrum (RS) models offer extensions to the SM, proposing extra spatial dimensions.
• Higgs-boson decays, particularly to two photons, are crucial for probing new physics.

Purpose of the Study:

• To perform a detailed five-dimensional calculation of the Higgs-boson decay into two photons in minimal and custodially protected RS models.
• To demonstrate gauge invariance in these RS scenarios.
• To derive exact expressions for the decay amplitude and compare predictions with experimental data.

Main Methods:

• Five-dimensional (5D) calculations of Higgs-boson decay into two photons.
• Derivation of exact expressions for 5D gauge-boson and fermion propagators.
• Analysis of bosonic contributions to the decay amplitude, considering Higgs profile localization.
• Comparison of RS model predictions with Large Hadron Collider (LHC) data.

Main Results:

• Explicit confirmation of gauge invariance for the Higgs-boson decay into two photons in RS models.
• Presentation of an exact expression for the decay amplitude, including Higgs-boson mass dependence.
• Derivation of closed-form expressions for 5D gauge-boson propagators.
• Demonstration that bosonic contributions are insensitive to Higgs profile localization.
• Derivation of exclusion regions for RS model parameters based on LHC data.

Conclusions:

• The study provides a robust theoretical framework for Higgs-boson decays in RS models.
• Calculations confirm theoretical consistency and offer testable predictions.
• Experimental data from the LHC constrain parameters of the Randall-Sundrum models.