Pade-Improvement of CP-odd Higgs Decay Rate into Two Gluons

Chishtie, F. A.; Elias, V.; Steele, T. G.

Pade-Improvement of CP-odd Higgs Decay Rate into Two Gluons

Authors

Chishtie, F. A.

Elias, V.

Steele, T. G.

Description

We present an asymptotic Pade-approximant estimate for the four-loop coefficients within the linear combination of correlators entering the recently calculated decay rate of a CP-odd Higgs boson, with an assumed mass $m_A = 100 GeV$, into two gluons. All but one of these coefficients are shown to be determined for arbitrary $m_A$ from the known 3-loop-order rate by renormalization group methods. Asymptotic Pade-approximant estimates for these coefficients are all seen to be within 12% of their correct values. The four-loop term in the decay rate for $m_A = 100 GeV$ is estimated to be only 4.3% of its leading one-loop contribution.
9 pages, latex2e, 1 figure