Higgs BOSON and Nonstability of electroweak vacuUM

 

T. V. Obikhod

 

Institute for nuclear research of NAS of Ukraine, Kyiv, Ukraine

 

The need to search for new physics associated with the problems of the standard model [1] leads to the need to use the appropriate theoretical apparatus such as the theory of D-branes [2, 3]. In this case, complex nonlinear equations describing processes at high energies and their solutions are replaced by considering vector bundles and by calculation of their topological invariants — analogs of solutions of nonlinear equations. Such topological invariants of type IIB superstring theory are the Ramon-Ramon (RR) charges described by K-theory [4]. Examples of calculating of the RR charges for several cases of spaces of extra dimensions are considered. The possibilities of embedding Calabi-Yau spaces suggest the phase transitions between different soliton states in vacuum, described by topological invariants. Such transitions are connected with the existence of a multiverse with different vacua. This explains the instability of the electroweak vacuum presented in Fig.1

 

Fig. 1. Plane of the top quark and Higgs mass measurements at the Tevatron,

LHC and future measurements at the ILC, from [5].

 

 

in terms of measuring of the properties of the Higgs boson and the top-quark mass [5].

 

 

[1] Lykken, J. D. (2010). "Beyond the Standard Model". CERN Yellow Report. CERN. pp. 101–109. arXiv:1005.1676

[2] Zwiebach, Barton. A First Course in String Theory. Cambridge University Press (2004).

[3] Bachas, C. P. "Lectures on D-branes" (1998). arXiv:hep-th/9806199.

[4] Kasper Olsen, Richard J. Szabo. Constructing D-Branes from K-Theory. Adv. Theor. Math. Phys. 3 (1999) 889-1025.

[5] Alekhin, S., Djouadi, A., Moch, S. The top quark and Higgs boson masses and the stability of the electroweak vacuum. Physics Letters B. 716 (1): 214–219. arXiv:1207.0980.