Virtual Top-Quark Effects on the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">H</mi><mo>→</mo><mi mathvariant="italic">b</mi><mrow><mrow><mover><mrow><mi mathvariant="italic">b</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span> Decay at Next-to-Leading Order in QCD

K. G. Chetyrkin; B. A. Kniehl; M. Steinhauser

doi:10.1103/PhysRevLett.78.594

Virtual Top-Quark Effects on the $H \to b \bar{b}$ Decay at Next-to-Leading Order in QCD

K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser

Phys. Rev. Lett. 78, 594 – Published 27 January 1997

Abstract

By means of a heavy-top-quark effective Lagrangian, we calculate the three-loop corrections of $O (α_{s}^{2} G_{F} M_{t}^{2})$ to the $H \to b \bar{b}$ partial decay width of the standard-model Higgs boson with intermediate mass $M_{H} ≪ {2 M}_{t}$ . We take advantage of a soft-Higgs theorem to construct the relevant coefficient functions. We present our result both in the $\bar{MS}$ and on-shell schemes of mass renormalization. The $\bar{MS}$ formulation turns out to be favorable with regard to the convergence behavior. We also test a recent idea concerning the naïve nonabelianization of QCD.