Associated charged Higgs boson production within the 2HDM: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math> versus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>μ</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math> colliders

Abstract

Our goal is to investigate the charged Higgs phenomenology in the framework of 2HDM at the upcoming <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>e</a:mi><a:mo>+</a:mo></a:msup><a:msup><a:mi>e</a:mi><a:mo>−</a:mo></a:msup></a:math> and muon colliders. We are primarily concerned with the associated production processes with a fermion pair: <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mo>ℓ</c:mo><c:mo>+</c:mo></c:msup><c:msup><c:mo>ℓ</c:mo><c:mo>−</c:mo></c:msup><c:mo stretchy="false">→</c:mo><c:msup><c:mi>τ</c:mi><c:mo>+</c:mo></c:msup><c:msub><c:mi>ν</c:mi><c:mi>τ</c:mi></c:msub><c:msup><c:mi>H</c:mi><c:mo>−</c:mo></c:msup></c:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:msup><f:mo>ℓ</f:mo><f:mo>+</f:mo></f:msup><f:msup><f:mo>ℓ</f:mo><f:mo>−</f:mo></f:msup><f:mo stretchy="false">→</f:mo><f:mi>t</f:mi><f:mover accent="true"><f:mi>b</f:mi><f:mo stretchy="false">¯</f:mo></f:mover><f:msup><f:mi>H</f:mi><f:mo>−</f:mo></f:msup></f:math>, as well as with the W boson and a neutral Higgs boson: <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msup><k:mo>ℓ</k:mo><k:mo>+</k:mo></k:msup><k:msup><k:mo>ℓ</k:mo><k:mo>−</k:mo></k:msup><k:mo stretchy="false">→</k:mo><k:msup><k:mi>W</k:mi><k:mo>±</k:mo></k:msup><k:msup><k:mi>H</k:mi><k:mo>∓</k:mo></k:msup><k:mi>S</k:mi></k:math> (<n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:mi>S</n:mi><n:mo>=</n:mo><n:mi>h</n:mi></n:math>, <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mrow><p:mi>H</p:mi></p:mrow></p:math>, <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:mrow><r:mi>A</r:mi></r:mrow></r:math>) and <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msup><t:mo>ℓ</t:mo><t:mo>+</t:mo></t:msup><t:msup><t:mo>ℓ</t:mo><t:mo>−</t:mo></t:msup><t:mo stretchy="false">→</t:mo><t:msup><t:mi>W</t:mi><t:mo>±</t:mo></t:msup><t:msup><t:mi>H</t:mi><t:mo>∓</t:mo></t:msup><t:mi>Z</t:mi></t:math>. We first update the results for <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msup><w:mi>e</w:mi><w:mo>+</w:mo></w:msup><w:msup><w:mi>e</w:mi><w:mo>−</w:mo></w:msup><w:mo stretchy="false">→</w:mo><w:mo stretchy="false">{</w:mo><w:msup><w:mi>τ</w:mi><w:mo>+</w:mo></w:msup><w:msub><w:mi>ν</w:mi><w:mi>τ</w:mi></w:msub><w:msup><w:mi>H</w:mi><w:mo>−</w:mo></w:msup><w:mo>,</w:mo><w:mi>t</w:mi><w:mover accent="true"><w:mi>b</w:mi><w:mo stretchy="false">¯</w:mo></w:mover><w:msup><w:mi>H</w:mi><w:mo>−</w:mo></w:msup><w:mo stretchy="false">}</w:mo></w:math> and then discuss our findings for <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"><db:msup><db:mi>e</db:mi><db:mo>+</db:mo></db:msup><db:msup><db:mi>e</db:mi><db:mo>−</db:mo></db:msup><db:mo stretchy="false">→</db:mo><db:mo stretchy="false">{</db:mo><db:msup><db:mi>W</db:mi><db:mo>±</db:mo></db:msup><db:msup><db:mi>H</db:mi><db:mo>∓</db:mo></db:msup><db:mi>S</db:mi><db:mo stretchy="false">}</db:mo></db:math> for various center-of-mass energies 500 GeV, 1 TeV, 1.5 TeV, and 3 TeV. In the case of muon collider, we show that the new s-channel and t-channel diagrams can increase the cross sections by virtue of their Yukawa couplings. We systematically compare our results for the muon collider with those obtained at the International Linear and Compact Linear colliders. We select benchmark points and conduct signal-background analyses, incorporating detector simulations. For a 3 TeV muon collider, our results show an exclusion region at the <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:mrow><ib:mn>2</ib:mn><ib:mi>σ</ib:mi></ib:mrow></ib:math> level and a discovery region at the <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"><kb:mrow><kb:mn>5</kb:mn><kb:mi>σ</kb:mi></kb:mrow></kb:math> level. Published by the American Physical Society 2024