Multi-leg calculations with the GRACE/1-LOOP system. --Toward Radiative Corrections to e+e- -> mu nu-bar u d-bar --

Abstract

We performed the calculation of the full O(alpha) corrections to e+e- -> mu- nu-bar u d-bar with the help of the GRACE/1-LOOP system. We discuss how a finite decay width introduces a serious gauge invariance breaking, particularly for infrared 5-point functions. This is related to the way the reduction of those functions is performed and to the treatment of the width in the reduction.

5 pages,invited talk at "Loops & Legs in Quantum Field Theory 2004", Zinnowitz, Germany, April 2004

References in corpus (13)

• Reduction of one-loop tensor 5-point integrals
• Electroweak radiative corrections to e+ e- -> nu nubar H
• Full one-loop electroweak radiative corrections to single Higgs production in e+ e-
• Full order_alpha electroweak and order alpha_s corrections to e^+e^- --> t t H
• Full order alpha electroweak corrections to double Higgs-strahlung at the linear collider
• Electroweak radiative corrections to $e^{+}{e}^{-}\to t\bar{t}h$ at linear colliders
• Electroweak radiative corrections to e+ e- -> t anti-t H
• Electroweak radiative corrections to single Higgs-boson production in e+e- annihilation
• Radiative corrections to Higgs-boson production in association with top-quark pairs at e+ e- colliders
• Full O(alpha) corrections to e+e- --> nu nu-bar H by GRACE
• Full $\mathcal{O}({\alpha }_{ew})$ electroweak corrections to $e^{+}{e}^{-}\to HHZ$
• FIRCLA, one-loop correction to e+ e- to nu anti-nu H and basis of Feynman integrals in higher dimensions
• $\mathcal{O}({\alpha }_s)$ QCD and $\mathcal{O}({\alpha }_{ew})$ electroweak corrections to $t\bar{t}{h}^0$ production in $\gamma \gamma$ collision

Cited by in corpus (10)

• Reduction schemes for one-loop tensor integrals
• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• An algebraic/numerical formalism for one-loop multi-leg amplitudes
• The Cut-Constructible Part of QCD Amplitudes
• Complete electroweak O(alpha) corrections to charged-current e+e- --> 4fermion processes
• Full one-loop corrections to the relic density in the MSSM: A few examples
• Automatised full one-loop renormalisation of the MSSM I: The Higgs sector, the issue of tan(beta) and gauge invariance
• Self-annihilation of the neutralino dark matter into two photons or a Z and a photon in the MSSM
• Electroweak Corrections to e+e- --> 4 fermions
• One-loop electroweak factorizable corrections for the Higgsstrahlung at a linear collider