We study the discovery prospects for a charged Higgs boson via the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>b</a:mi><a:mi>g</a:mi><a:mo stretchy="false">→</a:mo><a:mi>c</a:mi><a:msup><a:mi>H</a:mi><a:mo>−</a:mo></a:msup><a:mo stretchy="false">→</a:mo><a:mi>c</a:mi><a:mover accent="true"><a:mi>t</a:mi><a:mo stretchy="false">¯</a:mo></a:mover><a:mi>b</a:mi></a:math> process at the Large Hadron Collider (LHC). Focusing on the general two Higgs doublet model (G2HDM) that possesses extra Yukawa couplings, the process is controlled by extra top couplings <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>ρ</g:mi><g:mrow><g:mi>t</g:mi><g:mi>c</g:mi></g:mrow></g:msub></g:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>ρ</i:mi><i:mrow><i:mi>t</i:mi><i:mi>t</i:mi></i:mrow></i:msub></i:math>, which can drive electroweak baryogenesis (EWBG) to account for the baryon asymmetry of the Universe (BAU). We propose benchmark points (BPs) and demonstrate that evidence could emerge at 14 TeV LHC and luminosity of <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mrow><k:mn>300</k:mn><k:mtext> </k:mtext><k:mtext> </k:mtext><k:msup><k:mrow><k:mi>fb</k:mi></k:mrow><k:mrow><k:mo>−</k:mo><k:mn>1</k:mn></k:mrow></k:msup></k:mrow></k:math>, with discovery potential at <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mn>600</m:mn><m:mtext> </m:mtext><m:mtext> </m:mtext><m:msup><m:mi>fb</m:mi><m:mrow><m:mo>−</m:mo><m:mn>1</m:mn></m:mrow></m:msup></m:math>. Published by the American Physical Society 2024
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