arXiv:hep-ph/9212290·v1·High Energy Physics — Phenomenology

On-Mass-Shell Renormalization of the $⟨ t ˉ t ⟩$ Contribution to the $Δ I = 1/2$ $s \leftrightarrow d$ Self-Energy Transition

M.R. Ahmady🇮🇹 · V. Elias🇨🇦 · N.C.A. Hill🇨🇦

Abstract

In $⟨ t ˉ t ⟩$ -scenarios for dynamical electroweak symmetry breaking, the presence of a very large t-quark condensate necessarily generates an $s \leftrightarrow d$ self-energy transition which will contribute exclusively to $Δ I = 1/2$ strangeness-changing matrix elements. This contribution is calculated and compared to the purely perturbative contribution, which is well-known to be far too small to have an appreciable effect on $Δ I = 1/2$ strangeness-changing matrix elements after mass-shell renormalization subtractions are taken into account. The ratio between the t-quark condensate's contribution and the standard-model perturbative contribution to the mass-shell renormalized $s \leftrightarrow d$ self-energy transition is shown to be of order $∣ m_{t} ⟨ t ˉ t ⟩ ∣ / M_{W}^{4}$ , suggesting that the large t-quark condensate proposed for electroweak symmetry breaking may also be responsible for the $\Delta

Comments: 7 pages, 2 figures not included

On-Mass-Shell Renormalization of the ⟨tˉt⟩ Contribution to the ΔI=1/2 s↔d Self-Energy Transition

Abstract

On-Mass-Shell Renormalization of the $⟨ t ˉ t ⟩$ Contribution to the $Δ I = 1/2$ $s \leftrightarrow d$ Self-Energy Transition