Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-07-08
Phys.Atom.Nucl.69:67-80,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages, 7 figures; to be published in Phys. Atom. Nucl
Scientific paper
10.1134/S1063778806010108
The multiple point principle, according to which several vacuum states with the same energy density exist, is put forward as a fine-tuning mechanism predicting the ratio between the fundamental and electroweak scales in the Standard Model (SM). It is shown that this ratio is exponentially huge: $\sim e^{40}$. Using renormalisation group equations for the SM, we obtain the effective potential in the 2-loop approximation and investigate the existence of its postulated second minimum at the fundamental scale. The investigation of the evolution of the top quark Yukawa coupling constant in the 2-loop approximation shows that, with initial values of the top Yukawa coupling in the interval $h(M_t)=0.95\pm 0.03$ (here $M_t$ is the top quark pole mass), a second minimum of the SM effective potential can exist in the region $\phi_{min2}\approx 10^{16}-10^{22}$ GeV. A prediction is made of the existence of a new bound state of 6 top quarks and 6 anti-top quarks, formed due to Higgs boson exchanges between pairs of quarks/anti-quarks. This bound state is supposed to condense in a new phase of the SM vacuum. This gives rise to the possibility of having a phase transition between vacua with and without such a condensate. The existence of three vacuum states (new, electroweak and fundamental) solves the hierarchy problem in the SM.
Froggatt Colin D.
Laperashvili Larisa V.
Nielsen Holger Bech
No associations
LandOfFree
The Fundamental-Weak Scale Hierarchy in the Standard Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Fundamental-Weak Scale Hierarchy in the Standard Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fundamental-Weak Scale Hierarchy in the Standard Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-222303