Higgs Bosons in Particle Physics and in Condensed Matter
Abstract
Higgs bosons—the amplitude modes—have been experimentally investigated in condensed matter for many years. An example is superfluid ^{3}HeB, where the broken symmetry leads to 4 Goldstone modes and at least 14 Higgs modes, which are characterized by angular momentum quantum number J and parity (Zeeman splitting of Higgs modes with J=2^{+} and J=2^{} in magnetic field has been observed in 80's). Based on the relation for the energy spectrum of these modes, Yoichiro Nambu proposed the general sum rule, which relates masses of Higgs bosons and masses of fermions. If this rule is applicable to Standard Model, one may expect that the observed Higgs boson with mass M _{H1}=125 GeV has a Nambu partner—the second Higgs boson with mass M _{H2}=325 GeV. Together they satisfy the Nambu relation , where M _{top} is the top quark mass. Also the properties of the Higgs modes in superfluid ^{3}HeA, where the symmetry breaking is similar to that of the Standard Model, suggest the possible existence of two electrically charged Higgs particles with masses M _{H+}= M _{H}∼245 GeV, which together obey the Nambu rule . A certain excess of events at 325 GeV and at 245 GeV has been reported in 2011, though not confirmed in 2012 experiments. Besides, we consider the particular relativistic model of top—quark condensation that suggests the possibility that two twice degenerated Higgs bosons contribute to the Nambu sum rule. This gives the mass around 210 GeV for the Nambu partner of the 125 GeV Higgs boson. We also discuss the other possible lessons from the condensed matter to Standard Model, such as hidden symmetry, where light Higgs emerges as quasi NambuGoldstone mode, and the role of broken time reversal symmetry.
 Publication:

Journal of Low Temperature Physics
 Pub Date:
 April 2014
 DOI:
 10.1007/s1090901309057
 arXiv:
 arXiv:1305.7219
 Bibcode:
 2014JLTP..175..486V
 Keywords:

 High Energy Physics  Phenomenology;
 Condensed Matter  Superconductivity
 EPrint:
 Latex, 12 pages, no figures, JOLT style, prepared for Proceedings of QFS2013, modified after referee reports