Discussion Overview
The discussion revolves around the possibility of a Higgs boson decaying into a top-antitop quark pair when the Higgs is off-shell. Participants explore the theoretical implications of such a decay, its likelihood, and the distinction between decay processes and production processes involving virtual particles.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant questions whether a Higgs boson can decay into two top quarks when it is very off-shell, suggesting that while the probability may be low, it should not be impossible.
- Another participant challenges the initial premise by asking how a very off-shell Higgs boson could be produced, indicating a potential misunderstanding regarding the nature of off-shell particles.
- A participant explains that the amplitude for processes like ##q\bar{q}\to t\bar{t}## includes contributions from a virtual Higgs, but emphasizes that this is not typically classified as a "Higgs decay."
- It is noted that decays are generally defined for on-shell particles, and that processes involving virtual Higgs bosons contribute to production cross sections rather than decay processes.
- One participant expresses confusion about the distinction between off-shell Higgs and off-shell top quarks, seeking clarification on the implications of producing an off-shell Higgs at a specific energy level.
- Another participant reiterates that while it is theoretically possible for an off-shell Higgs to decay into on-shell top quarks, the process would be heavily suppressed and overshadowed by other production mechanisms, such as gluon-gluon fusion.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the classification of the process as a decay versus a production mechanism. There is a general agreement that the likelihood of such an off-shell decay is low and that it would be overshadowed by other processes, but the discussion remains unresolved regarding the specifics of how off-shell particles interact.
Contextual Notes
The discussion highlights the complexities of particle interactions involving off-shell particles, including the need for clarity on definitions and the implications of phase space in such processes. The distinction between decay and production processes is emphasized, but not fully resolved.