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We study the production and decay of a coupled system of mixed neutral MSSMHiggs bosons in exclusive double-diffractive processes at the LHC, includingnon-vanishing CP phases in the soft supersymmetry-breaking gaugino masses andthird-generation trilinear squark couplings. The three neutral Higgs bosons arenaturally nearly degenerate, for large values of \tan\beta, when the chargedHiggs boson weighs around 150 GeV. Large mixing between all three neutral Higgsbosons is possible when CP is violated, a three-way mixing scenario which wealso term tri-mixing. A resolution in the Higgs mass of \sim 1 GeV, which maybe achievable using the missing-mass method, would allow one to distinguishnearly degenerate Higgs bosons by studying the production lineshape.Measurements of the polarizations of the tau leptons coming from theHiggs-boson decays could offer a direct and observable signal of CP violationin the Higgs sector.Comment: 18 pages, 5 EPS figures, a reference added, to appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Diffraction as a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>and lineshape analyzer for MSSM Higgs bosons at the CERN LHC

Diffraction as aCPand lineshape analyzer for MSSM Higgs bosons at the CERN LHC