Next-to-Leading Order Unitarity Fits in the Extended Georgi-Machacek Model
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918047798788096 |
|---|---|
| author | Chowdhury, Debtosh Mondal, Poulami Samanta, Subrata |
| author_facet | Chowdhury, Debtosh Mondal, Poulami Samanta, Subrata |
| contents | The Georgi-Machacek (GM) model is a triplet scalar extension of the Standard Model (SM) that preserves custodial symmetry (CS) due to an explicit global $SU(2)_L\otimes SU(2)_R$ symmetry in the scalar potential at tree-level. However, it is also possible to construct a triplet extended scalar sector of the SM without imposing this global symmetry in the potential while still maintaining CS at tree-level. This is referred to as the extended GM (eGM) model. We compute one-loop corrections to all $2\to2$ bosonic scattering amplitudes in both models and place next-to-leading order (NLO) unitarity bounds on the quartic couplings. Further, we derive the bounded-from-below (BFB) conditions on the quartic couplings demanding the stability of the scalar potential in the field subspaces. We show that the 3-field BFB conditions provide a very good approximation of the 13-field BFB conditions for both models and are computationally more efficient. With these theoretical constraints, we perform a global fit of both models to the latest Higgs signal strength results from the $13$ TeV Large Hadron Collider. We observe that the global fit disfavors the regions where $κ_V > 1.05$, $κ_V < 0.95$, and $κ_f > 1.05$, $κ_f< 0.92$ at a $95.4\%$ CL for both models. The global fit results demonstrate that NLO unitarity and stability bounds play a significant role in constraining the allowed parameter space of both models. We obtain an upper limit on the absolute values of the scalar quartic couplings to be $1.91\:(2.51)$ in the GM (eGM) model. We find that in both models, the absolute mass differences between the heavy Higgs bosons are less than $410$ GeV if their masses are below $1.1$ TeV. The maximal mass difference among the members of each CS multiplet is less than $210$ GeV in the eGM model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18996 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Next-to-Leading Order Unitarity Fits in the Extended Georgi-Machacek Model Chowdhury, Debtosh Mondal, Poulami Samanta, Subrata High Energy Physics - Phenomenology High Energy Physics - Experiment The Georgi-Machacek (GM) model is a triplet scalar extension of the Standard Model (SM) that preserves custodial symmetry (CS) due to an explicit global $SU(2)_L\otimes SU(2)_R$ symmetry in the scalar potential at tree-level. However, it is also possible to construct a triplet extended scalar sector of the SM without imposing this global symmetry in the potential while still maintaining CS at tree-level. This is referred to as the extended GM (eGM) model. We compute one-loop corrections to all $2\to2$ bosonic scattering amplitudes in both models and place next-to-leading order (NLO) unitarity bounds on the quartic couplings. Further, we derive the bounded-from-below (BFB) conditions on the quartic couplings demanding the stability of the scalar potential in the field subspaces. We show that the 3-field BFB conditions provide a very good approximation of the 13-field BFB conditions for both models and are computationally more efficient. With these theoretical constraints, we perform a global fit of both models to the latest Higgs signal strength results from the $13$ TeV Large Hadron Collider. We observe that the global fit disfavors the regions where $κ_V > 1.05$, $κ_V < 0.95$, and $κ_f > 1.05$, $κ_f< 0.92$ at a $95.4\%$ CL for both models. The global fit results demonstrate that NLO unitarity and stability bounds play a significant role in constraining the allowed parameter space of both models. We obtain an upper limit on the absolute values of the scalar quartic couplings to be $1.91\:(2.51)$ in the GM (eGM) model. We find that in both models, the absolute mass differences between the heavy Higgs bosons are less than $410$ GeV if their masses are below $1.1$ TeV. The maximal mass difference among the members of each CS multiplet is less than $210$ GeV in the eGM model. |
| title | Next-to-Leading Order Unitarity Fits in the Extended Georgi-Machacek Model |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2404.18996 |