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On-Shell Unitarity Bootstrap for QCD Amplitudes
Carola F. Berger, Zvi Bern, Lance J. Dixon +2
We describe the recently developed on-shell bootstrap for computing one-loop amplitudes in non-supersymmetric theories such as QCD. The method combines the unitarity method with lo…
The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
Zvi Bern, Michael Czakon, Lance J. Dixon +2
We present an expression for the leading-color (planar) four-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4-2 e dimensions, in terms of eight separate integ…
Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
Carola F. Berger, Vittorio Del Duca, Lance J. Dixon
We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G_{mu nu} G^{mu nu} induced by a heavy-quark loop. We treat H as the real p…
All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
Carola F. Berger, Zvi Bern, Lance J. Dixon +2
We use on-shell recursion relations to compute analytically the one-loop corrections to maximally-helicity-violating n-gluon amplitudes in QCD. The cut-containing parts have been c…
The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
S. Mert Aybat, Lance J. Dixon, George Sterman
The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes fo…
Bootstrapping One-Loop QCD Amplitudes with General Helicities
Carola F. Berger, Zvi Bern, Lance J. Dixon +2
The recently developed on-shell bootstrap for computing one-loop amplitudes in non-supersymmetric theories such as QCD combines the unitarity method with loop-level on-shell recurs…