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Abstract In the general two Higgs doublet model (g2HDM) that has extra Yukawa couplings, we analyze their New Physics (NP) contributions to kaon mixing parameter ε K , direct CP violation parameter ε′/ε, and rare K + → π + ν ν ¯ $$ {K}^{+}\to {\pi}^{+}\nu \overline{\nu} $$ , K L → π 0 ν ν ¯ $$ {K}_L\to {\pi}^0\nu \overline{\nu} $$ , and K L,S → μ + μ − decays. We study correlations between these observables, and call special attention to a unique complementarity of kaon mixing and rare K → πν ν ¯ $$ K\to \pi \nu \overline{\nu} $$ decays in probing the exotic Higgs mass spectrum of g2HDM. The importance of kaon physics in probing NP vis-à-vis B physics is stressed. One unexpected feature we uncover is the special sensitivity of K + → π + ν ν ¯ $$ {K}^{+}\to {\pi}^{+}\nu \overline{\nu} $$ to TeV scale charged Higgs boson. |
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