| Summary: | In supersymmetry (SUSY) models with low electroweak naturalness (natSUSY), which have been suggested to be the most likely version of SUSY to emerge from the string landscape, higgsinos are expected at the few hundred GeV scale, whilst electroweak gauginos inhabit the TeV scale. For TeV-scale heavy neutral SUSY Higgs bosons <i>H</i> and <i>A</i>, as currently required by LHC searches, the dominant decay modes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>,</mo><mspace width="4pt"></mspace><mi>A</mi></mrow></semantics></math></inline-formula> are gaugino plus higgsino provided these decays are kinematically open. The light higgsinos decay to soft particles, so are largely invisible, whilst the gauginos decay to <i>W</i>, <i>Z</i> or <i>h</i> plus missing transverse energy (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfrac bevelled="true"><mi>E</mi><mi>T</mi></mfrac></mrow></semantics></math></inline-formula>). Thus, we examine the viability of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>,</mo><mspace width="4pt"></mspace><mi>A</mi><mo>→</mo><mi>W</mi><mo>+</mo><mrow><mfrac bevelled="true"><mi>E</mi><mi>T</mi></mfrac></mrow></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Z</mi><mo>+</mo><mrow><mfrac bevelled="true"><mi>E</mi><mi>T</mi></mfrac></mrow></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>h</mi><mo>+</mo><mrow><mfrac bevelled="true"><mi>E</mi><mi>T</mi></mfrac></mrow></mrow></semantics></math></inline-formula> signatures at the high luminosity LHC (HL-LHC) in light of large standard model (SM) backgrounds from (mainly) <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mover accent="true"><mi>t</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>V</mi><mi>V</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>V</mi><mi>h</mi></mrow></semantics></math></inline-formula> production (where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>V</mi><mo>=</mo><mi>W</mi><mo>,</mo><mspace width="4pt"></mspace><mi>Z</mi></mrow></semantics></math></inline-formula>). We also examine whether these signal channels can be enhanced over backgrounds by requiring the presence of an additional soft lepton from the decays of the light higgsinos. We find significant regions in the vicinity of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>m</mi><mi>A</mi></msub><mo>∼</mo><mn>1</mn><mo>–</mo><mn>2</mn></mrow></semantics></math></inline-formula> TeV of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>m</mi><mi>A</mi></msub></semantics></math></inline-formula> vs. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">tan</mo><mi>β</mi></mrow></semantics></math></inline-formula> plane, which can be probed at the high luminosity LHC, using these dominant signatures by HL-LHC at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>5</mn><mi>σ</mi></mrow></semantics></math></inline-formula> and at the 95% confidence level (CL).
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