Toward a refined understanding of nonholomorphic soft SUSY-breaking effects on the Higgs boson mass spectra

We study the impact of the non-holomorphic (NH) soft supersymmetry-breaking terms <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msubsup><a:mrow><a:mi>T</a:mi></a:mrow><a:mrow><a:mn>33</a:mn></a:mrow><a:mrow><a:mo>′</a:mo><a:mi>D</a:mi></a:mrow></a:msubsup></a:mrow></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>μ</c:mi><c:mo>′</c:mo></c:msup></c:math>, which introduce additional supersymmetry-breaking effects beyond the holomorphic structure of the superpotential, on the Higgs boson mass spectrum in the NH Minimal Supersymmetric Standard Model. The term <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msubsup><e:mi>T</e:mi><e:mn>33</e:mn><e:mrow><e:mo>′</e:mo><e:mi>D</e:mi></e:mrow></e:msubsup></e:math> modifies the scalar bottom-quark mass matrix and Higgs couplings, while <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mi>μ</g:mi><g:mo>′</g:mo></g:msup></g:math> affects the mass matrices of charginos and neutralinos. In our analysis, we incorporate constraints from charge- and color-breaking minima where we find that a portion of the parameter space is excluded by these constraints. Focusing on the allowed parameter space, the NH contributions to the light <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mrow><i:mi mathvariant="script">C</i:mi><i:mi mathvariant="script">P</i:mi></i:mrow></i:math>-even Higgs boson mass <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi>M</m:mi><m:mi>h</m:mi></m:msub></m:math> from <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msup><o:mi>μ</o:mi><o:mo>′</o:mo></o:msup></o:math> and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msubsup><q:mi>T</q:mi><q:mn>33</q:mn><q:mrow><q:mo>′</q:mo><q:mi>D</q:mi></q:mrow></q:msubsup></q:math> can reach up to 1.4 GeV and 90 MeV, respectively. For the heavy <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:mrow><s:mi mathvariant="script">C</s:mi><s:mi mathvariant="script">P</s:mi></s:mrow></s:math>-even Higgs boson mass <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msub><w:mi>M</w:mi><w:mi>H</w:mi></w:msub></w:math> and the charged Higgs boson mass <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>M</y:mi><y:msup><y:mi>H</y:mi><y:mo>±</y:mo></y:msup></y:msub></y:math>, these contributions can be substantially larger in certain regions of the parameter space, reaching up to 44 GeV for <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:msub><ab:mi>M</ab:mi><ab:mi>H</ab:mi></ab:msub></ab:math> and 42 GeV for <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msub><cb:mi>M</cb:mi><cb:msup><cb:mi>H</cb:mi><cb:mo>±</cb:mo></cb:msup></cb:msub></cb:math> due to <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:msup><eb:mi>μ</eb:mi><eb:mo>′</eb:mo></eb:msup></eb:math> and up to 60 GeV due to <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:msubsup><gb:mi>T</gb:mi><gb:mn>33</gb:mn><gb:mrow><gb:mo>′</gb:mo><gb:mi>D</gb:mi></gb:mrow></gb:msubsup></gb:math> for both <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:msub><ib:mi>M</ib:mi><ib:mi>H</ib:mi></ib:msub></ib:math> and <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"><kb:msub><kb:mi>M</kb:mi><kb:msup><kb:mi>H</kb:mi><kb:mo>±</kb:mo></kb:msup></kb:msub></kb:math>. These corrections are significantly larger than the expected future experimental precision for Higgs boson masses and should therefore be considered in precision analyses for future experiments.