On-Mass-Shell Renormalization of the $\langle \bar{t}t \rangle$ Contribution to the $ΔI = 1/2$ $s \leftrightarrow d$ Self-Energy Transition

M. R. Ahmady; V. Elias; N. C. A. Hill

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arXiv · hep-ph/9212290

On-Mass-Shell Renormalization of the $\langle \bar{t}t \rangle$ Contribution to the $ΔI = 1/2$ $s \leftrightarrow d$ Self-Energy Transition

M. R. Ahmady·V. Elias·N. C. A. Hill

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Abstract

In $\langle \bar{t}t \rangle$-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 $ΔI = 1/2$ 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 $ΔI = 1/2$ 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 $\mid m_t \langle \bar{t} t \rangle \mid / M_W ^4$, suggesting that the large t-quark condensate proposed for electroweak symmetry breaking may also be responsible for the $Δ

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M. R. Ahmady, V. Elias, N. C. A. Hill. 1992-12-21. On-Mass-Shell Renormalization of the $\langle \bar{t}t \rangle$ Contribution to the $ΔI = 1/2$ $s \leftrightarrow d$ Self-Energy Transition. https://arxiv.org/abs/hep-ph/9212290

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