Automatic Computation of Feynman Diagrams

[1]  A. Denner Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W‐physics at LEP 200 , 2007, 0709.1075.

[2]  R. Stuart,et al.  Complete 2-Loop Quantum Electrodynamic Contributions to the Muon Lifetime in the Fermi Model , 1998, hep-ph/9812323.

[3]  B. Kniehl,et al.  Effective QCD interactions of CP-odd Higgs bosons at three loops , 1998, hep-ph/9807241.

[4]  D. Soper QCD calculations by numerical integration , 1998, hep-ph/9804454.

[5]  K. Schilcher,et al.  First results with a new method for calculating 2-loop box-functions , 1998, hep-ph/9804333.

[6]  K. Melnikov,et al.  Two-loop QCD corrections to semileptonic b decays at an intermediate recoil , 1998, hep-ph/9804215.

[7]  J. Fleischer,et al.  Two-loop QCD corrections of the massive fermion propagator☆ , 1998, hep-ph/9803493.

[8]  T. V. Ritbergen,et al.  GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS , 1998, hep-ph/9802376.

[9]  R. Harlander,et al.  Singlet polarization functions at O (alpha-s**2) , 1998, hep-ph/9801432.

[10]  J. Kuhn,et al.  Erratum: Nonfactorizable QCD and Electroweak Corrections to the HadronicZBoson Decay Rate [Phys. Rev. Lett. 77, 3955 (1996)] , 1998 .

[11]  T. Teubner,et al.  Top quark pair production at threshold: Complete next-to-next-to-leading order relativistic corrections , 1998, hep-ph/9801397.

[12]  R. Mertig,et al.  TARCER — A mathematica program for the reduction of two-loop propagator integrals , 1998, hep-ph/9801383.

[13]  M. Beneke,et al.  Two loop correction to the leptonic decay of quarkonium , 1997, hep-ph/9712302.

[14]  R. Harlander,et al.  Corrections of to the decay of the Z boson into bottom quarks , 1997, hep-ph/9712228.

[15]  K. Melnikov,et al.  Two-Loop QCD Corrections to the Heavy Quark Pair Production Cross Section in e + e - Annihilation near Threshold , 1997, hep-ph/9712222.

[16]  M. Beneke,et al.  Asymptotic expansion of Feynman integrals near threshold , 1997, hep-ph/9711391.

[17]  T. Teubner,et al.  Massive quark production in electron positron annihilation to order $\alpha_s^2$ , 1997, hep-ph/9711327.

[18]  R. Kreckel Parallelization of adaptive MC Integrators , 1997, physics/9710028.

[19]  R. Harlander,et al.  $\cal O}(\alpha_s^2)$ corrections to top quark production at $e^+e^-$ colliders , 1997, hep-ph/9710413.

[20]  J. Fleischer,et al.  Towards automatic analytic evaluation of diagrams with masses , 1997 .

[21]  R. Harlander,et al.  Higgs boson decay to top quarks at O(α 2 s ) , 1997 .

[22]  D. Kreimer,et al.  oneloop 2.0 — A program package calculating one-loop integrals , 1997, hep-ph/9709209.

[23]  A. Kataev Corrections of order $$O(\bar \alpha \bar \alpha _s )$$ and $$O(\overline \alpha ^2 )$$ to the $$\bar bb$$ -decay width of the neutral Higgs boson , 1997 .

[24]  G. Degrassi,et al.  The role of MW in precision studies of the standard model , 1997, hep-ph/9708311.

[25]  W. Kilian,et al.  LINEAR COLLIDERS , 2008 .

[26]  B. Kniehl,et al.  Decoupling relations to O(a s 3) and their connection to low-energy theorems , 1997, hep-ph/9708255.

[27]  G. Weiglein,et al.  Higgs-mass dependence of two-loop corrections to Δr , 1997, hep-ph/9707510.

[28]  Matthias Steinhauser,et al.  Hadronic Higgs Boson Decay to Order as4 , 1997 .

[29]  M. Steinhauser,et al.  Complete QCD corrections of order O(αs3) to the hadronic Higgs decay , 1997, hep-ph/9706462.

[30]  B. Krause,et al.  Neutron Electric Dipole Moment in the Standard Model: Complete Three-Loop Calculation of the Valence Quark Contributions , 1997 .

[31]  A. Ballestrero,et al.  Semileptonic six fermion processes at future $e^+ e^-$ colliders: signal and irreducible background for top and WWZ physics , 1997, hep-ph/9706201.

[32]  et al.,et al.  Physics with e+e− linear colliders , 1997, hep-ph/9705442.

[33]  J. Kuhn,et al.  Heavy quark current correlators to (αs2 , 1997, hep-ph/9705254.

[34]  K. Schilcher,et al.  Calculation of infrared-divergent Feynman diagrams with zero mass threshold , 1997, hep-ph/9704353.

[35]  R. Stuart,et al.  Reduction of one-loop tensor form factors to scalar integrals: a general scheme , 1997, hep-ph/9704308.

[36]  J. Vermaseren Automatization of the computation of structure function moments at the 3-loop level , 1997 .

[37]  A. Semenov AUTOMATIC GENERATION OF FEYNMAN RULES FROM THE LAGRANGIAN BY MEANS OF LANHEP PACKAGE , 1997 .

[38]  J. Fleischer,et al.  Towards automatic analytic evaluation of massive Feynman diagrams , 1997 .

[39]  R. Harlander,et al.  Mass corrections to the vector current correlator , 1997, hep-ph/9704222.

[40]  V. Smirnov Asymptotic expansions of two-loop Feynman diagrams in the Sudakov limit , 1997, hep-ph/9703357.

[41]  O. Tarasov Generalized recurrence relations for two-loop propagator integrals with arbitrary masses , 1997, hep-ph/9703319.

[42]  K. Melnikov,et al.  Two loop QCD corrections to semileptonic b decays at maximal recoil , 1997, hep-ph/9703291.

[43]  J.A.M. Vermaseren,et al.  The 4-loop quark mass anomalous dimension and the invariant quark mass , 1997, hep-ph/9703284.

[44]  K. Chetyrkin Quark Mass Anomalous Dimension to alpha_s**4 , 1997, hep-ph/9703278.

[45]  G. Degrassi,et al.  Precise calculation of , and sin2 θefflept , 1997 .

[46]  T. V. Ritbergen,et al.  The four-loop β-function in quantum chromodynamics , 1997, hep-ph/9701390.

[47]  M. Kalmykov,et al.  Pole masses of quarks in dimensional reduction , 1997, hep-ph/9701308.

[48]  B. Kniehl,et al.  Three-loop O(αs2GFMt2) corrections to hadronic Higgs decays , 1997, hep-ph/9701277.

[49]  A. Denner,et al.  Radiative corrections to ZZ-->ZZ in the electroweak standard model , 1996, hep-ph/9612390.

[50]  P. Baikov Explicit solutions of the multi-loop integral recurrence relations and its application , 1996 .

[51]  R. Harlander,et al.  Automatic computation of three-loop two-point functions in large momentum expansion , 1996, hep-ph/9611354.

[52]  B. Kniehl,et al.  Virtual Top-Quark Effects on theH→bb¯Decay at Next-to-Leading Order in QCD , 1996, hep-ph/9610456.

[53]  P. Baikov Explicit solutions of the 3-loop vacuum integral recurrence relations , 1996 .

[54]  K. Chetyrkin,et al.  Corrections of order $\alpha_s^3$ to $R_{had}$ in pQCD with light gluinos , 1996, hep-ph/9608480.

[55]  V. Smirnov,et al.  Threshold behavior of Feynman diagrams: the master two-loop propagator , 1996, hep-ph/9608407.

[56]  V. Smirnov Asymptotic expansions of Feynman diagrams on the mass shell in momenta and masses , 1996, hep-th/9608151.

[57]  Czarnecki,et al.  Nonfactorizable QCD and Electroweak Corrections to the Hadronic Z Boson Decay Rate. , 1996, Physical review letters.

[58]  K. Chetyrkin Correlator of the quark scalar currents and Γtot(H → hadrons) at O(αs3) in pQCD , 1996, hep-ph/9608318.

[59]  A. Ballestrero,et al.  WPHACT 1.0 — A program for WW, Higgs and four-ferminon physics at e+e− colliders , 1996, hep-ph/9607317.

[60]  E. Remiddi,et al.  The analytical value of the electron (g − 2) at order α3 in QED , 1996 .

[61]  B. Kniehl,et al.  Heavy Higgs-boson lifetime at two loops. , 1996, Physical review. D, Particles and fields.

[62]  M. Steinhauser,et al.  Three-loop polarization function and O(αs2) corrections to the production of heavy quarks , 1996, hep-ph/9606230.

[63]  Tarasov Connection between Feynman integrals having different values of the space-time dimension. , 1996, Physical review. D, Particles and fields.

[64]  J.A.M. Vermaseren,et al.  The 3-loop QCD calculation of the moments of deep inelastic structure functions , 1996, hep-ph/9605317.

[65]  Padova,et al.  Two loop heavy top effects on the m(Z) - m(W) interdependence , 1996, hep-ph/9603374.

[66]  K. Chetyrkin,et al.  Second-order QCD corrections to scalar and pseudoscalar Higgs decays into massive bottom quarks , 1996 .

[67]  L. Avdeev Recurrence relations for three-loop prototypes of bubble diagrams with a mass , 1995, hep-ph/9512442.

[68]  Czarnecki,et al.  Electroweak corrections to the muon anomalous magnetic moment. , 1995, Physical review letters.

[69]  J. Kuhn,et al.  Heavy quark vacuum polarisation to three loops , 1995, hep-ph/9511430.

[70]  A. Denner,et al.  Radiative corrections to W+W− → W+W− in the electroweak standard model , 1995, hep-ph/9711302.

[71]  B. Kniehl,et al.  Three loop $O(alpha_s^2 G_F M_t^2)$ corrections to Higgs production and decay at $e^{+} e^{-}$ colliders , 1995, hep-ph/9508241.

[72]  T. V. Ritbergen,et al.  THE CALCULATION OF VARIOUS QUANTITIES WITHIN PERTURBATION THEORY AT THE 3- AND 4-LOOP ORDER , 1995 .

[73]  S. Kawabata,et al.  A new version of the multi-dimensional integration and event generation package BASES/SPRING , 1995 .

[74]  B. Kniehl,et al.  Virtual top effects on low-mass Higgs interactions at next-to-leading order in QCD , 1995, hep-ph/9507382.

[75]  T. V. Ritbergen,et al.  The Large top quark mass expansion for Higgs boson decays into bottom quarks and into gluons , 1995, hep-ph/9506465.

[76]  T. Teubner,et al.  Radiation of light fermions in heavy fermion production , 1995, hep-ph/9505262.

[77]  Kuehn,et al.  QCD corrections from the top quark to relations between electroweak parameters up to order alpha 2s. , 1995, hep-ph/9504413.

[78]  J. Kuhn,et al.  QCD CORRECTIONS TO THE E+E- CROSS-SECTION AND THE Z BOSON DECAY RATE : CONCEPTS AND RESULTS , 1995, hep-ph/9503396.

[79]  M. Dubinin,et al.  CompHEP: Specialized package for automatic calculations of elementary particle decays and collisions , 1995, hep-ph/9503280.

[80]  Butler,et al.  Observation of the Top Quark. , 1995, Physical review letters.

[81]  A. Ribon,et al.  Observation of top quark production in $\bar{p}p$ collisions , 1995 .

[82]  Arcadi Santamaria,et al.  An effective field theory approach to the QCD corrections to the vertex , 1995, hep-ph/9502307.

[83]  J. Kuhn,et al.  Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter , 1995, hep-ph/9502291.

[84]  M. Steinhauser,et al.  O(ααsln mt2) non-universal corrections to the decay rate , 1995 .

[85]  V. Smirnov ASYMPTOTIC EXPANSIONS IN MOMENTA AND MASSES AND CALCULATION OF FEYNMAN DIAGRAMS , 1994, hep-th/9412063.

[86]  L. R. Surguladze COMPUTER PROGRAMS FOR ANALYTICAL PERTURBATIVE CALCULATIONS IN HIGH ENERGY PHYSICS , 1994 .

[87]  J. B. Tausk,et al.  Zero-threshold expansion of two-loop self-energy diagrams , 1994, hep-ph/9410232.

[88]  T. V. Ritbergen,et al.  The next-next-to-leading QCD approximation for non-singlet moments of deep inelastic structure functions , 1994 .

[89]  M. Boehm,et al.  Analytical and numerical methods for massive two-loop self-energy diagrams , 1994, hep-ph/9409388.

[90]  R. Stuart Algebraic reduction of Feynman diagrams to scalar integrals: A Mathematica implementation of LERG-I , 1994, hep-ph/9409273.

[91]  J. Kuhn,et al.  Radiation of heavy quarks , 1994, hep-ph/9407338.

[92]  S. Mikhailov,et al.  O (aas2) correction to the electroweak ? parameter , 1994, hep-ph/9406363.

[93]  J. Kuhn,et al.  Quartic mass corrections to Rhad , 1994, hep-ph/9406299.

[94]  D. Kreimer,et al.  New representation of two-loop propagator and vertex functions , 1994, hep-ph/9405423.

[95]  A. Ballestrero,et al.  A new method for helicity calculations , 1994, hep-ph/9403244.

[96]  T. Stelzer,et al.  Automatic generation of tree level helicity amplitudes , 1994, hep-ph/9401258.

[97]  L. Brucher,et al.  A new method for computing one-loop integrals , 1994, hep-ph/0002030.

[98]  Bruce W. Char,et al.  Maple V Language Reference Manual , 1993, Springer US.

[99]  G. Weiglein,et al.  Reduction of general two-loop self-energies to standard scalar integrals☆ , 1993, hep-ph/9310358.

[100]  M. Steinhauser,et al.  LEADING TOP MASS CORRECTIONS OF ORDER ${\mathcal O} (\alpha \alpha_s m_t^2 /M_W^2)$ TO THE PARTIAL DECAY RATE $\Gamma (Z\to b\bar b)$ , 1993 .

[101]  J. B. Tausk,et al.  Large momentum expansion of two-loop self-energy diagrams with arbitrary masses , 1993, hep-ph/9307371.

[102]  A. Buras,et al.  QCD corrections to the dZ vertex for arbitrary top quark mass , 1993 .

[103]  K. Chetyrkin Power suppressed heavy quark mass corrections to the τ-lepton and Z-boson decay rates , 1993 .

[104]  J. Fleischer,et al.  Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension , 1993 .

[105]  J. B. Tausk,et al.  Two-loop self-energy diagrams with different masses and the momentum expansion , 1993 .

[106]  F. Tkachov,et al.  EUCLIDEAN ASYMPTOTIC EXPANSIONS OF GREEN FUNCTIONS OF QUANTUM FIELDS (II) COMBINATORICS OF THE AS OPERATION , 1993, hep-ph/9612287.

[107]  F. Tkachov Euclidean Asymptotic Expansions of Green Functions of Quantum Fields (i) Expansions of Product of Singular Functions , 1993, hep-ph/9612284.

[108]  P. Nogueira Automatic Feynman graph generation , 1993 .

[109]  A. Hayes Mathematica: A system for doing mathematics by computer , 1993, The Mathematical Gazette.

[110]  G. Degrassi Current algebra approach to heavy top effects in Z→b+b , 1993, hep-ph/9302288.

[111]  Markus E. Lautenbacher,et al.  TRACER version 1.1: A mathematica package for γ-algebra in arbitrary dimensions , 1993 .

[112]  D. Broadhurst Three-loop on-shell charge renormalization without integration: $$\Lambda _{QED}^{\overline {MS} } $$ to four loops , 1992 .

[113]  J. Fleischer,et al.  Two-loop O(αsGμmt2) corrections to the partial decay width of the Z0 into bb final states in the large top-mass limit , 1992 .

[114]  J. Fleischer,et al.  SHELL2: a package for the calculation of two-loop on-shell Feynman diagrams in FORM , 1992 .

[115]  D. Perret-Gallix NEW COMPUTING TECHNIQUES IN PHYSICS RESEARCH II , 1992, New Computing Techniques in Physics Research II.

[116]  F. Tkachov,et al.  The O(αs3) QCD correction to the lowest moment of the longitudinal structure function in deep inelastic electron-nucleon scattering , 1991 .

[117]  V. Smirnov Renormalization and Asymptotic Expansions , 1991 .

[118]  P. Zerwas,et al.  Production of Higgs bosons in proton colliders: QCD corrections , 1991 .

[119]  A. I. Davydychev A simple formula for reducing Feynman diagrams to scalar integrals , 1991 .

[120]  G. J. van Oldenborgh,et al.  FF — a package to evaluate one-loop Feynman diagrams , 1991 .

[121]  Ansgar Denner,et al.  Feyn Calc―computer-algebraic calculation of Feynman amplitudes , 1991 .

[122]  M. Samuel,et al.  Erratum: Total hadronic cross section in e + e - annihilation at the four-loop level of perturbative QCD [Phys. Rev. Lett. 66, 560 (1991)] , 1991 .

[123]  S. A. Larin,et al.  The O (αS3) corrections to σtot (e+e− → hadrons) and Γ (τ− → ντ + hadrons) in QCD , 1991 .

[124]  Yoshimitsu Shimizu,et al.  Numerical calculation of Feynman amplitudes for electroweak theories and an application to e+e−→W+W−γ , 1991 .

[125]  K. Schilcher,et al.  Gauge-invariant on-shellZ2 in QED, QCD and the effective field theory of a static quark , 1991 .

[126]  Samuel,et al.  Total hadronic cross section in e+e- annihilation at the four-loop level of perturbative QCD. , 1991, Physical review letters.

[127]  R. Stuart,et al.  Electroweak radiative corrections to b-quark production , 1990 .

[128]  B. Kniehl Two-loop corrections to the vacuum polarizations in perturbative QCD , 1990 .

[129]  V. Smirnov Asymptotic expansions in limits of large momenta and masses , 1990 .

[130]  J. Vermaseren,et al.  New algorithms for one-loop integrals , 1990 .

[131]  K. Schilcher,et al.  Three-loop relation of quark $$\overline {MS} $$ and pole masses , 1990 .

[132]  A. Denner,et al.  Feyn Arts ― computer-algebraic generation of Feynman graphs and amplitudes , 1990 .

[133]  Hidekazu Tanaka Numerical calculation of helicity amplitudes for processes involving massive fermions , 1990 .

[134]  Lawrence S. Kroll Mathematica--A System for Doing Mathematics by Computer. , 1989 .

[135]  F. Tkachov,et al.  Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system , 1989 .

[136]  F. Tkachov,et al.  Loops: Procedures for multiloop calculations in quantum field theory for the reduce system , 1989 .

[137]  S. G. Gorishny Construction of Operator Expansions and Effective Theories in the Ms Scheme , 1989 .

[138]  K. Chetyrkin Operator expansions in the minimal subtraction scheme. I. The gluing method , 1988 .

[139]  W. Beenakker,et al.  The width of theZ boson , 1988 .

[140]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[141]  A. Pich,et al.  Gamma (Z ---> B anti-B): A Signature of Hard Mass Terms for a Heavy Top , 1988 .

[142]  T. Riemann,et al.  Electroweak One Loop Corrections to the Decay of the Neutral Vector Boson , 1986 .

[143]  S. Kawabata,et al.  A New Monte Carlo Event Generator for High-Energy Physics , 1986 .

[144]  P. D. Causmaecker,et al.  Multiple bremsstrahlung in gauge theories at high energies: (VI). The process e+e− → e+e−γγ , 1986 .

[145]  R. Kleiss,et al.  Spinor techniques for calculating pp → W±/Z0 + jets , 1985 .

[146]  K. Chetyrkin,et al.  R* operation corrected , 1984 .

[147]  Tai Tsun Wu,et al.  Multiple Bremsstrahlung in Gauge Theories at High-Energies. 4. The Process e+ e- ---> gamma gamma gamma gamma , 1984 .

[148]  P. D. Causmaecker,et al.  Multiple Bremsstrahlung in Gauge Theories at High-energies. 3. Finite Mass Effects in Collinear Photon Bremsstrahlung , 1984 .

[149]  F. Tkachov The limit mq→0 of perturbative QCD , 1983, hep-ph/9901214.

[150]  F. Tkachov,et al.  THE ALGORITHM FOR OPE COEFFICIENT FUNCTIONS IN THE MS SCHEME , 1983 .

[151]  Yasuhiro Okada,et al.  Effective gauge theory and the effect of heavy quarks in Higgs boson decays , 1983 .

[152]  F. Tkachov,et al.  Operator product expansion in the minimal subtraction scheme , 1982 .

[153]  P. D. Causmaecker,et al.  Multiple bremsstrahlung in gauge theories at high energies (II). Single bremsstrahlung , 1982 .

[154]  P. D. Causmaecker,et al.  Multiple bremsstrahlung in gauge theories at high energies (I). General formalism for quantum electrodynamics , 1982 .

[155]  F. Tkachov,et al.  Infrared R-operation and ultraviolet counterterms in the MS-scheme , 1982 .

[156]  F. Tkachov,et al.  Integration by parts: The algorithm to calculate β-functions in 4 loops , 1981 .

[157]  P. D. Causmaecker,et al.  Helicity Amplitudes for Massless QED , 1981 .

[158]  F. Tkachov A theorem on analytical calculability of 4-loop renormalization group functions , 1981 .

[159]  Marciano,et al.  Erratum: Radiative corrections to neutrino-induced neutral-current phenomena in the SU(2)L x U(1) theory , 1980, Physical review. D, Particles and fields.

[160]  F. Tkachov,et al.  New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique , 1980 .

[161]  A. Sirlin Radiative Corrections in the SU(2)L×U(1) Theory a , 1980 .

[162]  A. Vladimirov Method of calculating renormalization-group functions in the scheme of dimensional regularization , 1980 .

[163]  R. Gonsalves,et al.  Analytic Calculation of Higher-Order Quantum-Chromodynamic Corrections in e + e − Annihilation , 1980 .

[164]  M. Veltman,et al.  One-loop corrections for e + e - annihilation into μ + μ - in the Weinberg model , 1979 .

[165]  M. Dine,et al.  HIGHER ORDER QCD CORRECTIONS IN e+e- ANNIHILATION * , 1979 .

[166]  F. Tkachov,et al.  Higher-order corrections to σtot(e+e−→ hadrons) in quantum chromodynamics , 1979 .

[167]  A. Buras,et al.  Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories , 1978 .

[168]  G. Lepage A new algorithm for adaptive multidimensional integration , 1978 .

[169]  M. Veltman Large Higgs mass and μ−e universality , 1977 .

[170]  R. Kephart,et al.  Observation of a Dimuon Resonance at 9.5 GeV in 400-GeV Proton-Nucleus Collisions , 1977 .

[171]  N. Nielsen The energy-momentum tensor in a non-Abelian quark gluon theory , 1977 .

[172]  P. Breitenlohner,et al.  Dimensional renormalization and the action principle , 1977 .

[173]  N. Nielsen Gauge invariance and broken conformal symmetry , 1975 .

[174]  J. Zuber,et al.  Ward identities and some clues to the renormalization of gauge-invariant operators , 1975 .

[175]  H. Strubbe,et al.  Manual for SCHOONSCHIP a CDC 6000/7000 program for symbolic evaluation of algebraic expressions , 1974 .

[176]  Gerard 't Hooft,et al.  Dimensional regularization and the renormalization group , 1973 .

[177]  G. Hooft,et al.  Regularization and Renormalization of Gauge Fields , 1972 .

[178]  John R. Rodman,et al.  Reports , 1919, Restoration & Management Notes.

[179]  Jozef Baruník Diploma thesis , 1999 .

[180]  R. Stuart,et al.  Algebraic reduction of one-loop Feynman diagrams to scalar integrals. II , 1990 .

[181]  S. A. Larin,et al.  Coefficient functions of asymptotic operator expansions in the minimal subtraction scheme , 1987 .

[182]  C. Mañá,et al.  On the Radiative Bhabha Scattering for the Single Photon Configuration , 1987 .

[183]  T. Wu,et al.  Multiple bremsstrahlung in gauge theories at high energies(V). The process e+e- ? +-?? , 1986 .

[184]  Ronald Kleiss,et al.  Complete lowest-order calculations for four-lepton final states in electron-positron collisions , 1985 .

[185]  R. Barbieri,et al.  Infra-red divergences and adiabatic switching. Fourth-order vaccum polarization , 1973 .