Three loop $O(alpha_s^2 G_F M_t^2)$ corrections to Higgs production and decay at $e^{+} e^{-}$ colliders

Kniehl, Bernd A.; Steinhauser, Matthias

doi:10.1016/0550-3213(95)00441-T

Three loop $$O(alpha_s^2 G_F M_t^2)$$ corrections to Higgs production and decay at $$e^{+} e^{-}$$ colliders

Journal Article · Sat Jul 01 04:00:00 EDT 1995 · Nucl.Phys.B

DOI:https://doi.org/10.1016/0550-3213(95)00441-T· OSTI ID:1847345

^[1]; Steinhauser, Matthias ^[2]

Fermilab; Wisconsin U., Madison
Karlsruhe U., TTP

We evaluate the next-to-leading-order QCD corrections of O(alpha_s~2 G_F M_t~2) to the Standard-Model l~+l~-H, ZZH, and W~+W~-H couplings in the heavy-top- quark limit. Exploiting these results together with knowledge of Delta rho to the same order, we analyze a variety of production and decay processes of low- mass Higgs bosons at e~+e~- colliders. Specifically, we consider H->l~+l~-, H->l~+l~-l'~+l'~-, e~+e~-->ZH, Z->ff-barH, and e~+e~-->ff-barH, with f=l,nu. We work in the electroweak on-shell scheme formulated with G_F and employ both the on-shell and MS-bar definitions of the top-quark mass in QCD. As expected, the scheme and scale dependences are greatly reduced when the next-to-leading- order corrections are taken into account. In the on-shell scheme of top-quark mass renormalization, the O(alpha_s~2 G_F M_t~2) corrections act in the same direction as the O(alpha_s G_F M_t~2) ones and further increase the screening of the O(G_F M_t~2) terms. The coefficients of (alpha_s/pi)~2 range from -6.847 for the ZZH coupling to -16.201 for the l~+l~-H coupling. This is in line with the value -14.594 recently found for Delta rho.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

DOE Contract Number:: AC02-07CH11359

OSTI ID:: 1847345

Report Number(s):: FERMILAB-PUB-95-195-T; MAD-PH-894; MPI-PHT-95-64; TTP-95-27; arXiv:hep-ph/9508241; oai:inspirehep.net:397980

Journal Information:: Nucl.Phys.B, Journal Name: Nucl.Phys.B Vol. 454

Country of Publication:: United States

Language:: English

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