The two-loop vector form factor in the Sudakov limit

Abstract

Recently two-loop electroweak corrections to the neutral current four-fermion processes at high energies have been presented. The basic ingredient of this calculation is the evaluation of the two-loop corrections to the Abelian vector form factor in a spontaneously broken SU(2) gauge model. Whereas the final result and the derivation of the four-fermion cross sections from evolution equations have been published earlier, the calculation of the form factor from the two-loop Feynman diagrams is presented for the first time in this paper. We describe in detail the individual contributions to the form factor and their calculation with the help of the expansion by regions method and Mellin-Barnes representations.

25 pages. Bernd Jantzen was Bernd Feucht in publications before 2005. v2: minor changes in the discussion of the results according to the version published in Eur. Phys. J. C

References in corpus (55)

• Asymptotic expansion of Feynman integrals near threshold
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Harmonic sums, Mellin transforms and Integrals
• Analytical Result for Dimensionally Regularized Massless On-shell Double Box
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• One-loop leading logarithms in electroweak radiative corrections, I. Results
• Virtual $O(\a_s)$ corrections to the inclusive decay $b\to s\gamma$
• Resummation of double logarithms in electroweak high energy processes
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Analytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass
• Sudakov Effects in Electroweak Corrections
• Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model
• Summing up Subleading Sudakov Logarithms
• Asymptotic Expansions in Momenta and Masses and Calculation of Feynman Diagrams
• Problems of the Strategy of Regions
• One-loop leading logarithms in electroweak radiative corrections: II. Factorization of collinear singularities
• Expansion around half-integer values, binomial sums and inverse binomial sums
• Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy
• Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
• Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor - planar case
• Logarithmic electroweak corrections to gauge-boson pair production at the LHC
• Two-loop electroweak angular-dependent logarithms at high energies
• Electroweak two-loop Sudakov logarithms for on-shell fermions and bosons
• Electroweak Sudakov at two loop level
• Single-scale diagrams and multiple binomial sums
• The strategy of regions for asymptotic expansion of two-loop vertex Feynman diagrams
• Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy
• Fermionic NNLL corrections to b -> s γ
• Two-Loop Sudakov Form Factor in a Theory with Mass Gap
• One-loop weak corrections to hadronic production of Z bosons at large transverse momenta
• Asymptotics of Feynman Diagrams and The Mellin-Barnes Representation
• Logarithmic electroweak corrections to hadronic Z+1 jet production at large transverse momentum
• Logarithmic expansion of electroweak corrections to four-fermion processes in the TeV region
• Asymptotic expansions of two-loop Feynman diagrams in the Sudakov limit
• Top quark production at future lepton colliders in the asymptotic regime
• Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box
• Rising Bosonic Electroweak Virtual Effects at High Energy e+e- Colliders
• Electroweak corrections to hadronic photon production at large transverse momenta
• Calculation of next-to-leading QCD corrections to b -> s gluon
• Next-to-leading mass singularities in two-loop electroweak singlet form factors
• Sudakov expansions at one loop and beyond for charged scalar and fermion pair production in SUSY models at future Linear Colliders
• Two-Loop Electroweak Logarithms
• Resummation of Yukawa enhanced and subleading Sudakov logarithms in longitudinal gauge boson and Higgs production
• Threshold behavior of Feynman diagrams: the master two-loop propagator
• The role of the top mass in b-production at future lepton colliders
• Asymptotic Expansions of Feynman Diagrams on the Mass Shell in Momenta and Masses
• The role of universal and non universal Sudakov logarithms in four fermion processes at TeV energies: the one-loop approximation revisited
• An algorithm for the high-energy expansion of multi-loop diagrams to next-to-leading logarithmic accuracy
• Fermionic and Scalar Corrections for the Abelian Form Factor at Two Loops
• Reliability of a high energy one-loop expansion of e+e- --> W+W- in the SM and in the MSSM
• The Leading Power Regge Asymptotic Behaviour of Dimensionally Regularized Massless On-Shell Planar Triple Box
• Subleading Sudakov Logarithms in Electroweak Processes
• Hidden Beauty in Multiloop Amplitudes

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• Resummation of electroweak Sudakov logarithms for real radiation
• Logarithmic EW corrections at one-loop
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