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In the decoupling limit, $M^2_{A^0} \gg M^2_Z$, the heavy CP-even, CP-odd andcharged Higgs boson masses are nearly degenerate, $\sin(\beta-\alpha)$approaches 1, and the lightest CP-even Higgs boson almost displays the sameproperties as the Standard Model Higgs boson. But the stop and sbottom sectorcan change this pattern through radiative corrections. We find that there areparameter regions at small, moderate and large $\tan\beta$ in MSSM underexperimental constraints of $(g-2)_{\mu}$ and $b\to s\gamma$, where$\sin^2(\beta-\alpha)$ is damped (say below 0.8), which has a significanteffect on Higgs couplings $g_{h^0VV} (V=W^\pm,Z^0)$ and $g_{h^0\gamma\gamma}$.We discuss its impact on the lightest CP-even Higgs production at$\gamma\gamma$ colliders.Comment: 19 pages, 12 figures and 1 tabl

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

Damped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">sin</mml:mi><mml:mo>(</mml:mo><mml:mi>β</mml:mi><mml:mi>−</mml:mi><mml:mi>α</mml:mi><mml:mo>)</mml:mo></mml:math>of Higgs couplings and the lightest Higgs boson production at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>colliders in the minimal supersymmetric standard model

Dampedsin(β−α)of Higgs couplings and the lightest Higgs boson production atγγcolliders in the minimal supersymmetric standard model