Higgs Boson & Fermion Interaction on Quantum Entanglement

  

Abstract

This dissertation explores the intersection of Higgs boson physics, fermion interactions, and quantum entanglement. The Higgs mechanism, central to the Standard Model, provides mass to fermions through Yukawa couplings. Recent experimental studies at the LHC (ATLAS and CMS) have revealed entanglement signatures in Higgs decay channels, particularly in . By analyzing the spin density matrices and polarization correlations, this work investigates how Higgs-mediated fermion interactions may encode quantum entanglement, offering insights into both fundamental physics and potential applications in quantum information science.

Chapter 1: Introduction

•           Background: The Higgs boson, discovered in 2012, confirmed the mechanism of spontaneous symmetry breaking in the electroweak sector. Fermions acquire mass through Higgs-fermion couplings.

•           Problem Statement: While Higgs interactions are well-characterized in terms of mass generation, their role in quantum entanglement remains underexplored.

•           Objective: To analyze how Higgs boson interactions with fermions can generate, sustain, or reveal quantum entanglement.

•           Significance: Understanding this relationship may bridge particle physics with quantum information theory.

 

Chapter 2: Theoretical Framework

2.1 Higgs Mechanism

•           Spontaneous symmetry breaking in the Higgs field.

•           Yukawa couplings: .

•           Fermion mass generation through vacuum expectation value (VEV).

2.2 Fermion Interactions

•           Higgs couples differently to fermions depending on mass (e.g., top quark strongest).

•           Decay channels: , .

2.3 Quantum Entanglement

•           Definition: Non-classical correlations between quantum states.

•           Entanglement in particle physics: Spin correlations, polarization states, and density matrices.

•           Relevance: Entanglement tests the completeness of quantum mechanics at high energies.

 

Chapter 3: Experimental Evidence

3.1 ATLAS and CMS Studies

•           Higgs decay into four leptons () shows entangled spin states.

•           Quantum tomography reconstructs spin density matrices.

3.2 Fermion Coupling Signatures

•           Top quark-Higgs interactions: strongest Yukawa coupling.

•           Entanglement potential in fermion-antifermion pairs.

3.3 Measurement Techniques

•           Polarization analysis of Z bosons.

•           Binary entanglement tests: Standard Model vs. longitudinal polarization states.

 

Chapter 4: Philosophical & Scientific Implications

• Quantum Foundations: Higgs-mediated entanglement challenges classical separability.
• Quantum Information: Potential use of Higgs decay channels as natural entanglement sources.
• Philosophy of Science: Entanglement as a bridge between metaphysical unity and physical law.

 

Chapter 5: Comparative Analysis

Chapter 6: Conclusion

The Higgs boson, beyond its role in mass generation, may serve as a natural mediator of quantum entanglement in fermionic systems. This dual role situates Higgs at the intersection of particle physics and quantum information theory, opening pathways for both fundamental and applied research.

References (APA Style)

• Varma, M. (2024). Probing quantum entanglement using Higgs → ZZ∗ → 4ℓ at ATLAS. arXiv:2412.04194.
• Javurkova, M. (2023). Quantum entanglement in H → ZZ leptonic decay channels. University of Massachusetts-Amherst Workshop.
• School of Physics and Astronomy. (n.d.). Lecture 17 - The Higgs Boson.

Endnote:

This research is still on going, if you need the full scraps of the dissertation I can send by emails or invite you to join Copilot.