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Title: Exceptional point and degeneracy of the neutral Higgs boson system H-A

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.3131590· OSTI ID:21300501
 [1]; ; ; ;  [2]
  1. Fac. de Cs. de la Electronica, Benemerita Universidad Autonoma de Puebla, Apdo. Postal 157, 72570 Puebla, Pue. (Mexico)
  2. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apdo. Postal 20-364, 01000 Mexico D.F. (Mexico)

We analyze the masses and mixings of the isolated neutral and heavy Higgs fields H and A of the Minimal Supersymmetric Standard Model (MSSM) with CP violation, which have opposite CP parities and nearly degenerate masses. At the degeneracy point, the hypersurfaces that represent the physical masses as functions of the system parameters have a rank one algebraic branch point, and the real and imaginary parts have branch cuts, both starting at the same exceptional point but extending in opposite directions in parameter space. Associated with this singularity, the propagator for the mixed neutral Higgs system H-A has a double pole in the non-physical sheet of the squared energy complex plane s. The continuity of the transition amplitude matrix at the exact degeneracy of the masses is examined.

OSTI ID:
21300501
Journal Information:
AIP Conference Proceedings, Vol. 1116, Issue 1; Conference: 13. Mexican school of particles and fields, Hermosillo (Mexico); San Carlos (Mexico), 2-11 Oct 2008; Other Information: DOI: 10.1063/1.3131590; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English