Decay of the Higgs Boson \(h\to \tau ^- \tau ^+\to \pi ^-\nu _{\tau }\pi ^+{\bar \nu }_\tau \) for a Non-Hermitian Yukawa Interaction

Abstract

The low mass of D * s0 (2317) presents problems for the conventional quark model, leading to consideration of other options regarding a multi-quark system. Here, we investigate the scalar open-charm state D * s0 (2317) and its bottom partner by the Thermal QCD Sum Rules (TQCDSR) method using the two-point correlation function with contributions of the nonperturbative condensates up to dimension six. Our calculations indicate that the variations in mass and decay constant values are stable through temperatures up to T ∼ = 100 MeV and fall after this point. At the critical temperature, the values of mass and decay constant change up to 94%, 71% of their values in vacuum in the molecular scenario, and 94%, 75% in the diquark-antidiquark scenario. Besides, we find more dramatic changes in mass and decay constant above T c , and hence we interpret it as the hadrons starting to disappear. Also, the detailed search for hot medium effects on the hadronic parameters of open-charm meson D * s0 (2317) and the bottom partner may have implications for the QCD phase diagram derived from heavy-ion collision experiments. Finally, these results may help distinguish conventional quark model mesons from exotic states.

Extension of the Goldstone and the Englert-Brout-Higgs mechanisms to non-Hermitian theories

“…In these latter two papers the Englert-Brout-Higgs mechanism was explored in a non-Hermitian context. Subsequent follow up may be found in [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25].…”

“…Since there is no symmetry that would enforce modes to be massless in the normal vacuum this is then just an artifact of the tree approximation, and neither of the two zero eigenvalues λ 0 and λ − would remain massless in higher order. [Moreover, for the upper left 2 × 2 mass matrix given in (25)…”

IR/UV mixing from local similarity maps of scalar non-Hermitian field theories

“…Examples include: non-Hermitian deformations of the Dirac Lagrangian with a parity-odd, anti-Hermitian mass term [13][14][15][16][17] (see also Ref. [18]), theories of massive second-order fermions [19,20], scalar [16,17,[21][22][23] and fermionic [14,22,24] field theories with non-Hermitian mass mixing matrices, non-Hermitian Yukawa theories [14,[25][26][27][28], scalar theories with complex [29][30][31][32][33][34][35][36] or wrong-sign [37][38][39] self-interactions, theories exhibiting spontaneous symmetry breaking [40][41][42][43][44][45][46] and topological defects [47][48][49][50][51], holographic settings [52,53], and non-Hermitian Dirac materials in the context of condensed matter physics…”