Massive two--loop diagrams: The Higgs propagator

Abstract

Formulae are provided to express any two-loop scalar integral with arbitrary masses and arbitrary external momenta in terms of an integral of one fairly simple function or of its derivatives. Such integrals can be calculated numerically with high precision. Good agreement is found with known analytical expressions of specific two--loop diagrams. To prove the effectiveness of these techniques, the two--loop selfenergy of the Higgs boson to order $(g^2\frac{m_H^2}{m_W^2}{)}^2$ is calculated, and the correctness of the result is checked by using the unitarity of the S matrix. This result allows one to disentangle the leading corrections to the shape of the Higgs resonance, and to derive a perturbative bound of $\sim$1.2 TeV on the mass of the Higgs boson.

21 pages, Freiburg-THEP 94/05

References in corpus (4)

• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses
• The alpha_s^3 correction to Gamma (Z^0 -> hadrons)
• Two-loop renormalization constants and high energy $2\to 2$ scattering amplitudes in the Higgs sector of the standard model
• Two--loop heavy Higgs corrections to the Higgs fermionic width

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