TL;DR
This paper reviews the Higgs problem in particle physics, discussing the Standard Model Higgs, the need for New Physics, and potential discoveries at the LHC, emphasizing the complexity beyond the minimal Higgs conjecture.
Contribution
It provides a concise overview of the Higgs problem, motivations for New Physics, and possible experimental signatures at the LHC, highlighting the potential for discovering physics beyond the Standard Model.
Findings
The Standard Model Higgs remains unconfirmed and is a conjecture.
New Physics is likely necessary to explain electroweak symmetry breaking.
LHC could reveal various alternative forms of New Physics.
Abstract
I present a concise review of the Higgs problem which plays a central role in particle physics today. The Higgs of the minimal Standard Model is so far just a conjecture that needs to be verified or discarded at the LHC. Probably the reality is more complicated. I will summarize the motivation for New Physics that should accompany or even replace the Higgs discovery and a number of its possible forms that could be revealed by the LHC
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