Impact of quark flavor violating SUSY on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>h</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>125</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> decays at

We study the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mi>C</a:mi> <a:mi>P</a:mi> </a:mrow> </a:math> -even neutral Higgs boson decays <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msup> <c:mi>h</c:mi> <c:mn>0</c:mn> </c:msup> <c:mo stretchy="false">→</c:mo> <c:mi>c</c:mi> <c:mover accent="true"> <c:mi>c</c:mi> <c:mo stretchy="false">¯</c:mo> </c:mover> <c:mo>,</c:mo> <c:mi>b</c:mi> <c:mover accent="true"> <c:mi>b</c:mi> <c:mo stretchy="false">¯</c:mo> </c:mover> <c:mo>,</c:mo> <c:mi>b</c:mi> <c:mover accent="true"> <c:mi>s</c:mi> <c:mo stretchy="false">¯</c:mo> </c:mover> <c:mo>,</c:mo> <c:mi>γ</c:mi> <c:mi>γ</c:mi> <c:mo>,</c:mo> <c:mi>g</c:mi> <c:mi>g</c:mi> </c:math> in the minimal supersymmetric standard model (MSSM) with a general quark flavor violation (QFV) due to squark generation mixings, identifying the <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:msup> <l:mi>h</l:mi> <l:mn>0</l:mn> </l:msup> </l:math> as the Higgs boson with a mass of 125 GeV. We compute the widths of the <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msup> <n:mi>h</n:mi> <n:mn>0</n:mn> </n:msup> </n:math> decays to <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mi>c</p:mi> <p:mover accent="true"> <p:mi>c</p:mi> <p:mo stretchy="false">¯</p:mo> </p:mover> <p:mo>,</p:mo> <p:mi>b</p:mi> <p:mover accent="true"> <p:mi>b</p:mi> <p:mo stretchy="false">¯</p:mo> </p:mover> <p:mo>,</p:mo> <p:mi>b</p:mi> <p:mover accent="true"> <p:mi>s</p:mi> <p:mo stretchy="false">¯</p:mo> </p:mover> </p:math> at the full one-loop level. For the <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"> <x:msup> <x:mi>h</x:mi> <x:mn>0</x:mn> </x:msup> </x:math> decays to <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"> <z:mi>γ</z:mi> <z:mi>γ</z:mi> </z:math> and <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"> <bb:mi>g</bb:mi> <bb:mi>g</bb:mi> </bb:math> , we compute the widths at NLO QCD level. , we perform a systematic MSSM parameter scan for these widths, respecting all the relevant theoretical and experimental constraints, such as those from B-meson data, and the 125 GeV Higgs boson data from recent LHC experiments, as well as the limits on supersymmetric (SUSY) particle (sparticle) masses from the LHC experiments. We also take into account the expected sparticle mass limits from the future HL-LHC experiment in our analysis. the usual studies in the MSSM with minimal flavor violation (MFV), we find that the deviations of these MSSM decay widths from the Standard Model (SM) values can be quite sizable and that there are significant correlations among these deviations. All of these sizable deviations in the <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"> <db:msup> <db:mi>h</db:mi> <db:mn>0</db:mn> </db:msup> </db:math> decays are mainly due to large scharm-stop mixing and large sstrange-sbottom mixing. Such sizable deviations from the SM can be observed at high signal significance in future lepton colliders such as ILC, CLIC, CEPC, FCC-ee, and muon collider the failure of SUSY particle discovery at the HL-LHC. In case the deviation pattern shown here is really observed at the lepton colliders, then it would strongly suggest the discovery of QFV SUSY (the MSSM with general QFV).