Reduction schemes for one-loop tensor integrals

Abstract

We present new methods for the evaluation of one-loop tensor integrals which have been used in the calculation of the complete electroweak one-loop corrections to e+ e- -> 4 fermions. The described methods for 3-point and 4-point integrals are, in particular, applicable in the case where the conventional Passarino-Veltman reduction breaks down owing to the appearance of Gram determinants in the denominator. One method consists of different variants for expanding tensor coefficients about limits of vanishing Gram determinants or other kinematical determinants, thereby reducing all tensor coefficients to the usual scalar integrals. In a second method a specific tensor coefficient with a logarithmic integrand is evaluated numerically, and the remaining coefficients as well as the standard scalar integral are algebraically derived from this coefficient. For 5-point tensor integrals, we give explicit formulas that reduce the corresponding tensor coefficients to coefficients of 4-point integrals with tensor rank reduced by one. Similar formulas are provided for 6-point functions, and the generalization to functions with more internal propagators is straightforward. All the presented methods are also applicable if infrared (soft or collinear) divergences are treated in dimensional regularization or if mass parameters (for unstable particles) become complex.

55 pages, latex, some references updated and few comments added, version to appear in Nucl. Phys. B

References in corpus (7)

• 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
• Complete electroweak O(alpha) corrections to charged-current e+e- --> 4fermion processes
• Self-annihilation of the neutralino dark matter into two photons or a Z and a photon in the MSSM
• Automated computation of one-loop integrals in massless theories
• Numerical Evaluation of One-Loop Diagrams Near Exceptional Momentum Configurations
• Multi-leg calculations with the GRACE/1-LOOP system. --Toward Radiative Corrections to e+e- -> mu nu-bar u d-bar --

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• Monte Carlo Event Generators for Future Lepton Colliders
• Applications of higher order QCD
• Beyond the t-channel Approximation: Next-to-Leading Order QCD Corrections to Electroweak Higgs Boson Plus Three Jet Production at the LHC
• A new method for the numerical evaluation of one-loop amplitudes
• NLO QCD corrections to pp -> ttbb+X via quark anti-quark annihilation
• Gluon Fusion induced Zg and Zgg Productions in the Standard Model at the LHC