arXiv subjects

Phan Hong Khiem

Publications and source records attributed to Phan Hong Khiem.

3 recordsLinked to original sources

arXiv2026

Electroweak phase transition with the confinement scale of the strong sector or dilaton in the minimal composite Higgs model

The minimal Composite Higgs model (MCHM) provides an effective trigger for the Baryogenesis scenario through the confinement scale of the strong sector ($f$) or dilaton ($χ$). $f$ is a parameter with mass dimension, which stores the resonances of particles at high energies and has a suitable value of about $800$ GeV. But when $300$ GeV $\le f \le 400$ GeV, the effective Higgs potential has a first-order electroweak phase transition. Therefore, although $f$ cannot be a perfect trigger, it does suggest an effective approach that accommodates the resonances of particles. Thus the investigation of the electroweak phase transition according to $f$ has confirmed that the inclusion of the dilaton in the effective potential is reasonable. Accordingly, we derive a dilaton potential with appropriate parameter domains and $f=800$ GeV; the mass of the dilaton ranges from $300$ GeV to $700$ GeV, which will give an electroweak phase transition strength greater than $1$ and less than $3$, enough for a first-order phase transition. This is a direct and clear evidence of the triggers for the first-order EWPT in the MCHM.

hep-ph↗

arXiv2025

Twin electroweak bubble nucleation and gravitational wave under the $S_3$ symmetry of two-Higgs-doublet model

Sphaleron electroweak phase transition (EWPT) is calculated in two phase transition stages, thereby showing that the twin (or double) bubble nucleation structure of the phase transition and gravitational wave is in the investigation area of future detectors. With $v^2=v^2_1+v^2_2$ ($v_1$ and $v_2$ are two vacuum average values (VEV)) and $a=v^2/v_2^2$ which affects the expansion of bubbles during two phase transitions. The more $a$ increases, the more the expansion of two bubbles is at the same time. This ratio does not greatly affect the sphaleron energy but has an impact on gravitational waves. The larger the masses of the charged Higgs particles are, the greater the gravitational wave energy density ($Ωh^2$) is. When the frequency is in the range $0-1.2$ mHz, $Ωh^2$ will has a maximum value in the range $10^{-12}-10^{-11}$ for all values of $a$ so this can be detected in the future.

hep-ph↗

arXiv2020

Sphaleron in the first-order electroweak phase transition with the dimension-six Higgs operator

By adding the dimension-six operator for the Higgs potential (denoted $\mathcal{O}_6$) in Standard Model, we have a first-order electroweak phase transition (EWPT) whose strength is larger than unity. The cutoff parameter of the dimension-six Higgs operator ($Λ$) is found to be in the range 593-860 GeV with the Wilson parameter equals to unity; it is also shown that the greater the $Λ$, the lower the phase transition strength and the larger the Wilson parameter, the wider the domain of $Λ$. At zero temperature, the sphaleron energy is calculated with a smooth ansatz and an ansatz with scale-free parameters, thereby we find that smooth profiles are not more accurate than profiles with scale-free parameters. Then, using the one-loop effective Higgs potential with the inclusion of $\mathcal{O}_6$ instead of all possible dimension-six operators, we directly calculate the electroweak sphaleron energy at finite temperature with the scale-free parameters ansatz and show that the decoupling condition is satisfied during the phase transition. Moreover, we can reevaluate the upper bound of the cutoff scale inferred from the first-order phase transition. In addition, with the upper bound of the cutoff parameter (about 800-860 GeV), EWPT is a solution to the energy scale of the dimension-six operators. There is an extended conclusion that EWPT can only be solved at a large energy scale than that of SM.

hep-ph↗