Asymptotic Expansions in Momenta and Masses and Calculation of Feynman Diagrams

Abstract

General results on asymptotic expansions of Feynman diagrams in momenta and/or masses are reviewed. It is shown how they are applied for calculation of massive diagrams.

15 pages, latex

Cited by in corpus (101)

• Asymptotic expansion of Feynman integrals near threshold
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Next-to-Leading QCD Corrections to B -> X_s gamma: Standard Model and Two-Higgs Doublet Model
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• Higgs production and decay: Analytic results at next-to-leading order QCD
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Electroweak corrections to the muon anomalous magnetic moment
• Importance of Loop Effects in Explaining the Accumulated Evidence for New Physics in B Decays with a Vector Leptoquark
• Top-Quark Mediated Effects in Hadronic Higgs-Strahlung
• Beta functions and anomalous dimensions up to three loops
• MATAD: a program package for the computation of MAssive TADpoles
• Gluon-induced Higgs-strahlung at next-to-leading order QCD
• Higher-Order Hadronic Contributions to the Anomalous Magnetic Moment of Leptons
• The three loop on-shell renormalization of QCD and QED
• Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model
• Expansion by regions: revealing potential and Glauber regions automatically
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• Neutron Electric Dipole Moment In The Standard Model: Valence Quark Contributions
• Problems of the Strategy of Regions
• Geometric approach to asymptotic expansion of Feynman integrals
• Analytical Results for Dimensionally Regularized Massless On-shell Double Boxes with Arbitrary Indices and Numerators
• Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
• Leptonic contribution to the effective electromagnetic coupling constant up to three loops
• Electroweak Hadronic Contributions to the muon g-2
• QCD Corrections from Top Quark to Relations between Electroweak Parameters to Order ${\alpha }_s^2$
• High-Energy Approximation of One-Loop Feynman Integrals
• Two-loop heavy top effects on the MZ-MW interdependence
• Associated production of a Higgs boson at NNLO
• Results and Techniques of Multi-Loop Calculations
• Two-loop QCD corrections to charged-Higgs-mediated $b\to s\gamma$ decay
• MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections
• Three-Loop Leading Top Mass Contributions to the rho Parameter
• Production of Charged Higgs Boson Pairs in Gluon-Gluon Collisions
• High-precision e-expansions of massive four-loop vacuum bubbles
• The strategy of regions for asymptotic expansion of two-loop vertex Feynman diagrams
• Automatic Computation of Feynman Diagrams
• Quartic mass corrections to R_had at order α_s^3
• Two-loop heavy top corrections to the Z boson partial widths
• Probing low energy scalar leptoquarks by the leptonic $W$ and $Z$ couplings
• Mass Corrections to the Vector Current Correlator
• $B_{s,d}^0\to {\ell }^{+}{\ell }^{-}$ Decays in the Aligned Two-Higgs-Doublet Model
• Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay
• Five-loop Konishi in N=4 SYM
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• Asymptotic expansions of two-loop Feynman diagrams in the Sudakov limit
• Photonic SUSY Two-Loop Corrections to the Muon Magnetic Moment
• Two Loop QCD Vertices and Three Loop MOM $\beta$ functions
• Heavy mass expansion, light-by-light scattering and the anomalous magnetic moment of the muon
• Threshold expansion of the sunset diagram
• Two-Loop Matrix Element of the Current-Current Operator in the Decay B -> X_s gamma
• The Higgs boson at high $p_T$
• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• Two-loop SQCD corrections to Higgs-quark-quark couplings in the generic MSSM
• Threshold behavior of Feynman diagrams: the master two-loop propagator
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• Resonance Contributions to the Electromagnetic Low Energy Constants of Chiral Perturbation Theory
• Calculating four-loop tadpoles with one non-zero mass
• Higgs Decay to Top Quarks at O(α_s^2)
• Singlet Polarization Functions at O(α_s^2)
• The two-loop vector form factor in the Sudakov limit
• Asymptotic Expansions of Feynman Diagrams on the Mass Shell in Momenta and Masses
• The on-shell expansion: from Landau equations to the Newton polytope
• Radiative corrections to hard spectator scattering in $B\to \pi \pi$ decays
• alpha^2 corrections to parapositronium decay: a detailed description
• Three-loop massive tadpoles and polylogarithms through weight six
• Numerical multi-loop integrals and applications
• Expansion of bound-state energies in powers of m/M
• Pole mass determination in presence of heavy particles
• Axinos in Cosmology and at Colliders
• Exact NLO Matching and Analyticity in $b\to s\ell \ell$
• Expansion of bound state energies in powers of m/M and (1-m/M)
• Simplified leptoquark models for precision $l_i\to l_f\gamma$ experiments: two-loop structure of $O({\alpha }_S{Y}^2)$ corrections
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• Two-loop SUSY QCD correction to the gluino pole mass
• The Hierarchy Principle and the Large Mass Limit of the Linear Sigma Model
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• $B_{s,d}-{\bar{B}}_{s,d}$ mixings and $B_{s,d}\to {\ell }^{+}{\ell }^{-}$ decays within the Manohar-Wise model
• Threshold expansion for heavy-light systems and flavor off-diagonal current-current correlators
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Asymptotic analysis of Feynman diagrams and their maximal cuts
• Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum Expansion
• QCD corrections to the Wilson coefficients C9 and C10 in two-Higgs doublet models
• Renormalons beyond the Borel plane
• The analytical values of the sunrise master integrals for one of the masses equal to zero
• Higgs-boson production in the full theory at NNLO+PS
• UV Completion of Neutral Triple Gauge Couplings
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• Tensor Reduction for Feynman Integrals with Lorentz and Spinor Indices
• OPITeR: A program for tensor reduction of multi-loop Feynman Integrals
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Specific three-loop contributions to $b\to s\gamma$ associated with the current-current operators
• Constraints for twist-two alien operators in QCD
• Numerical Evaluation of Two-Loop Integrals in FDR
• Dark origin of quark flavor hierarchy and mixing
• Computing Techniques for Two-Loop Corrections to Anomalous Magnetic Moments of Leptons
• An estimate of the QCD corrections to the decay Z --> W u d
• Small-threshold behaviour of two-loop self-energy diagrams: some special cases
• Triple-leptoquark interactions for tree- and loop-level proton decays
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit
• Mixed QCD-EW corrections to $W$-pair production at electron-positron colliders
• Large mass expansion in two-loop QCD corrections of para-charmonium decay