Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-04-14
J.Phys.G26:1239-1254,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex2e, 16 pages, 3 eps figures Revised version contains a summary section
Scientific paper
10.1088/0954-3899/26/8/311
Asymptotic Pade-approximant methods are utilized to estimate the order $\alpha_s^5$ contribution to the $H\to gg$ rate and the order $\alpha_s^4$ contribution to the $H \to b \bar{b}$ rate. The former process is of particular interest because of the slow convergence evident from the three known terms of its QCD series, which begins with an order $\alpha_s^2$ leading-order term. The order $\alpha_s^5$ contribution to the $H \to gg$ rate is expressed as a degree-3 polynomial in $L \equiv ln (\mu^2 / m_t^2 (\mu))$. We find that asymptotic Pade-approximant predictions for the coefficients of $L$, $L^2$, and $L^3$ are respectively within 1%, 2%, and 7% of true values extracted via renormalization-group methods. Upon including the full set of next-order coefficients, the $H \to gg$ rate is found to be virtually scale-independent over the 0.3 $M_{H} < \mu < M_t$ range of the renormalization scale-parameter $\mu$. We conclude by discussing the small order $\alpha_s^4$ contribution to the $H \to b \bar{b}$ rate, which is obtained from a prior asymptotic Pade-approximant estimate of the order $\alpha_s^4$ contribution to the quark-antiquark scalar-current correlation function.
Chishtie Farrukh A.
Elias Victor
~Steele ~G. T.
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