Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --

Abstract

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 ${\mathbb{Z}}_2$ symmetries. In this paper, we consider more general cases without the ${\mathbb{Z}}_2$ 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.

arXiv comment38 pages, 7 figures. v2: minor revisions, new references added

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• The Gravitational-Wave Physics II: Progress
• Relations among topological solitons
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• Collapsing domain walls in the two-Higgs-doublet model and deep insights from the EDM
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Gauge Kinetic Mixing and Dark Topological Defects
• Symmetries of the 2HDM: an invariant formulation and consequences
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Charged and CP-violating Kink Solutions in the Two Higgs Doublet Model
• Coleman-Weinberg Abrikosov-Nielsen-Olesen strings
• Obtaining the sphaleron field configurations with gradient flow
• Dynamics of global and local vortices with orientational moduli
• Global monopoles in the two-Higgs-doublet-model
• Some comments about emission channels of non abelian vortices
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Production of bound states of magnetic monopoles in high energy collisions at LHC
• Chiral non-Abelian vortex molecules in dense QCD
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets