95 and 125 GeV Higgs boson excesses in the left-right supersymmetric standard model

This study investigates the excesses observed around 95 GeV in diphoton and <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mi>b</a:mi> <a:mover accent="true"> <a:mrow> <a:mi>b</a:mi> </a:mrow> <a:mrow> <a:mo stretchy="false">¯</a:mo> </a:mrow> </a:mover> </a:mrow> </a:math> experiments within the framework of the left-right supersymmetric model (LRSSM). Considering the one- and two-loop effective potential corrections to the Higgs masses, the model is able to describe the experimentally observed <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mi>μ</e:mi> <e:mo stretchy="false">(</e:mo> <e:msub> <e:mi>h</e:mi> <e:mn>95</e:mn> </e:msub> <e:msub> <e:mo stretchy="false">)</e:mo> <e:mrow> <e:mi>γ</e:mi> <e:mi>γ</e:mi> </e:mrow> </e:msub> </e:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>μ</i:mi> <i:mo stretchy="false">(</i:mo> <i:msub> <i:mi>h</i:mi> <i:mn>95</i:mn> </i:msub> <i:msub> <i:mo stretchy="false">)</i:mo> <i:mrow> <i:mi>b</i:mi> <i:mover accent="true"> <i:mi>b</i:mi> <i:mo stretchy="false">¯</i:mo> </i:mover> </i:mrow> </i:msub> </i:math> signal strengths. In addition, we also present the impacts of the LRSSM-specific parameters <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:mi>tan</o:mi> <o:msub> <o:mi>β</o:mi> <o:mi>R</o:mi> </o:msub> </o:math> , <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msub> <q:mi>v</q:mi> <q:mi>R</q:mi> </q:msub> </q:math> , and <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msub> <s:mi>v</s:mi> <s:mi>S</s:mi> </s:msub> </s:math> on the theoretical predictions of the signal strengths for the 95 and 125 GeV neutral Higgs bosons.