Probing the Higgs-Gauge Couplings at Leptonic Colliders

In this work, we investigate the Higgs-gauge couplings \(hVV\) (with \(V = W,Z\)) through different final states at leptonic colliders. In many Standard Model (SM) extensions, these couplings could be modified as \({{g}_{{hVV}}} = {{\kappa }_{V}}g_{{hVV}}^{{SM}}\), either via radiative contributions or due compositeness nature of the Higgs and/or gauge bosons. We try to probe the modified Higgs-gauge couplings effects by considering three final states at leptonic colliders \(h\nu \bar {\nu }{\kern 1pt} \,@\,250\,{\text{GeV}}\), \(h{{W}^{ + }}{{W}^{ - }}{\kern 1pt} @\,500\,{\text{GeV}}\) and \(Z{{W}^{ + }}{{W}^{ - }}{\kern 1pt} \,@\,1\,{\text{TeV}}\) (with \(h \to b\bar {b}\), \(Z \to jj\) and \({{W}^{ - }} \to {{\ell }^{ - }}\bar {\nu }\)), where the cross section values are compared to the SM in the case of unpolarized (\({{P}_{{{{e}^{ - }},{{e}^{ + }}}}} = \left[ {0,0} \right]\)) and polarized beams (\({{P}_{{{{e}^{ - }},{{e}^{ + }}}}} = \left[ { - 0.8, + 0.3} \right]\)). Although, we will explore the relevant kinematic variables distributions for these three processes to probe the Higgs gauge couplings.