Abstract:We study the domain wall solutions in the general two-Higgs-doublet model (2HDM) with a CP-violating phase. The 2HDM with the spontaneouse CP violation is found to have domain wall solutions whose tensions are $$ \mathcal{O} $$
O
(106) GeV3, which are excluded by the Zel’dovich-Kobzarev-Okun bound. With the explicit CP-violating (CPV) terms as the so-called biased term in the scalar potential, domain walls can collapse in the early Universe. The sizes of the explicit CP violat… Show more
“…The two loop computation follows along the lines of the seminal work of Barr and Zee [24] on the electron EDM in multi Higgs doublet models. A similar calculation of electron EDM arising as a residual effect of domain wall collapse in two Higgs doublet models was done in [25]. It turns out that successful leptogenesis in LRSUSY requires α 0.1.…”
Section: Jhep07(2021)039mentioning
confidence: 90%
“…Gravitational waves are indeed produced by the annhilation of the domain walls that were originally formed by the breaking of the discrete parity symmetry. Previous works have studied gravitational waves arising from the breaking of bubble walls in general first order phase transitions above electroweak scale [50,51], breaking of bubble walls in electroweak baryogenesis in the non-SUSY LRSM model [52,53], or from the breaking of domain walls in the non-SUSY two Higgs doublet model [25]. In this section, we do a quick study of gravitational waves arising from the breaking of domain walls in LRSUSY.…”
Low scale leptogenesis scenarios are difficult to verify due to our inability to relate the parameters involved in the early universe processes with the low energy or collider observables. Here we show that one can in principle relate the parameters giving rise to the transient CP violating phase involved in leptogenesis with those that can be deduced from the observation of electric dipole moment (EDM) of the electron. We work out the details of this in the context of the left right symmetric supersymmetric model (LRSUSY) which provides a strong connection between such parameters. In particular, we show that baryon asymmetry requirements imply the scale MB−L of U(1)B−L symmetry breaking to be larger than 104.5 GeV. Moreover the scale MR of SU(2)R symmetry breaking is tightly constrained to lie in a narrow band significantly below $$ {M}_{B-L}^2/{M}_{EW} $$
M
B
−
L
2
/
M
EW
. These are the most stringent constraints on the parameter space of LRSUSY model being considered.
“…The two loop computation follows along the lines of the seminal work of Barr and Zee [24] on the electron EDM in multi Higgs doublet models. A similar calculation of electron EDM arising as a residual effect of domain wall collapse in two Higgs doublet models was done in [25]. It turns out that successful leptogenesis in LRSUSY requires α 0.1.…”
Section: Jhep07(2021)039mentioning
confidence: 90%
“…Gravitational waves are indeed produced by the annhilation of the domain walls that were originally formed by the breaking of the discrete parity symmetry. Previous works have studied gravitational waves arising from the breaking of bubble walls in general first order phase transitions above electroweak scale [50,51], breaking of bubble walls in electroweak baryogenesis in the non-SUSY LRSM model [52,53], or from the breaking of domain walls in the non-SUSY two Higgs doublet model [25]. In this section, we do a quick study of gravitational waves arising from the breaking of domain walls in LRSUSY.…”
Low scale leptogenesis scenarios are difficult to verify due to our inability to relate the parameters involved in the early universe processes with the low energy or collider observables. Here we show that one can in principle relate the parameters giving rise to the transient CP violating phase involved in leptogenesis with those that can be deduced from the observation of electric dipole moment (EDM) of the electron. We work out the details of this in the context of the left right symmetric supersymmetric model (LRSUSY) which provides a strong connection between such parameters. In particular, we show that baryon asymmetry requirements imply the scale MB−L of U(1)B−L symmetry breaking to be larger than 104.5 GeV. Moreover the scale MR of SU(2)R symmetry breaking is tightly constrained to lie in a narrow band significantly below $$ {M}_{B-L}^2/{M}_{EW} $$
M
B
−
L
2
/
M
EW
. These are the most stringent constraints on the parameter space of LRSUSY model being considered.
“…While the topological Z-string is topologically stable, the U(1) a symmetry should be explicitly broken to give masses to additional Higgs fields, attaching domain walls to the topological Z string [62,63] as axion strings. There are also other studies in the literature on (non-)topological solitons in the 2HDM; domain walls and sine-Gordon solitons [57,[65][66][67][68][69][70], sphaleron(-like) solution [71][72][73][74], global monopoles [57] and the Nambu monopoles [75][76][77].…”
Section: Derivation Of Interaction Between Topological Z-strings 1 In...mentioning
We find that a Z-string is stable in a wide range of parameter space of the two Higgs doublet model due to a split into a pair of two topological Z-strings with fractional Z fluxes. This configuration, a bound state of the two strings connected by a domain wall, is called a vortex molecule. Although the vortex molecule has no net topological charge, the locally induced topological charge density is polarized, namely distributed positively around one constituent string and negatively around the other constituent string, leading to the stability of the molecule. We numerically show that the vortex molecule is indeed a stable solution of the equation of motions in a much wider parameter space of the model than the usual axially symmetric Z-string in the Standard Model and the two Higgs doublet model, although it is not the case for experimental values of the parameters.
“…[26][27][28][29][30] and references therein. One of the most remarkable aspects of 2HDMs distinguishable from the SM may be that it has a much richer vacuum structure than the SM, thereby allowing a variety of topologically stable solitons, in addition to non-topological solitons [31][32][33][34][35][36][37][38][39] analogous to the SM; domain walls [40][41][42][43][44][45], membranes [46,47], and cosmic strings such as topological Z strings [42,43,48,49] (see also ref. [50]).…”
We study the dynamics of the Nambu monopole in two Higgs doublet models, which is a magnetic monopole attached by two topological Z strings (Z flux tubes) from two opposite sides. The monopole is a topologically stable solution of the equation of motions when the Higgs potential has global U (1) and ℤ2 symmetries. In this paper, we consider more general cases without the ℤ2 symmetry, and find that it is no longer a static solution but moves along the Z string being pulled by the heavier string. After analytically constructing an asymptotic form of the monopole, we confirm such a motion using the numerical relaxation method. In addition, we analyze the real time dynamics of the monopole based on a point-like approximation. Consequently, if there were long string networks with the monopoles in the early universe, the monopole accelerates nearly to the speed of light emitting electromagnetic radiations as a synchrotron accelerator, and collides to an anti-monopole on the string. This collision event, which we call the cosmological monopole collider, can produce much heavier particles than those we can see today, e.g., at the Large Hadron Collider.
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