FIRCLA, one-loop correction to e+ e- to nu anti-nu H and basis of Feynman integrals in higher dimensions

Abstract

An approach for an effective computer evaluation of one-loop multi-leg diagrams is proposed. It's main feature is the combined use of several systems - DIANA, FORM and MAPLE. As an application we consider the one-loop correction to Higgs production in e+ e- to nu anti-nu H, which is important for future e+ e- colliders. To improve the stability of numerical evaluations a non-standard basis of integrals is introduced by transforming integrals to higher dimensions.

arXiv comment6 pages 1 figure, reference to G. Belanger et al. added

References in corpus (8)

• Dimensionally Regulated Pentagon Integrals
• Algebraic reduction of one-loop Feynman graph amplitudes
• Reduction formalism for dimensionally regulated one-loop N-point integrals
• A Feynman Diagram Analyser DIANA
• Higgs-strahlung and $WW$ fusion in $e^{+}{e}^{-}$ collisions
• One-Loop Tensor Integrals in Dimensional Regularisation
• Algebraic-Numerical Evaluation of Feynman Diagrams: Two-Loop Self-Energies
• Theoretical Aspects of Standard-Model Higgs-Boson Physics at a Future e^+ e^- Linear Collider

Cited by in corpus (13)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• MSSM Higgs Physics at Higher Orders
• Reduction method for dimensionally regulated one-loop N-point Feynman integrals
• A complete reduction of one-loop tensor 5- and 6-point integrals
• Extension of the functionality of the symbolic program FORM by external software
• The Higgs sector of supersymmetric theories and the implications for high-energy colliders
• Functional reduction of one-loop Feynman integrals with arbitrary masses
• Electroweak corrections to e+ e- -> f anti-f H
• Multi-leg calculations with the GRACE/1-LOOP system. --Toward Radiative Corrections to e+e- -> mu nu-bar u d-bar --
• Higgs boson production and decay at $e^{+}{e}^{-}$ colliders as a probe of the Left-Right twin Higgs model
• Single Higgs boson production at $e^{+}{e}^{-}$ colliders in the Littlest Higgs Model with T-parity
• Sophisticated momenta mapping with DIANA
• Higgs boson production in the $U(1{)}_{B-L}$ model at the ILC