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Two-loop off-shell QCD amplitudes in FDR

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arxiv 1506.09093 v1 pith:TTS4RPX4 submitted 2015-06-30 hep-ph hep-th

Two-loop off-shell QCD amplitudes in FDR

classification hep-ph hep-th
keywords dimensionalquantitiestwo-loopallowsamplitudesanalogousanalysisbeyond
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We link the FDR treatment of ultraviolet (UV) divergences to dimensional regularization up to two loops in QCD. This allows us to derive the one-loop and two-loop coupling constant and quark mass shifts necessary to translate infrared finite quantities computed in FDR to the MSbar renormalization scheme. As a by-product of our analysis, we solve a problem analogous to the breakdown of unitarity in the Four Dimensional Helicity (FDH) method beyond one loop. A fix to FDH is then presented that preserves the renormalizability properties of QCD without introducing evanescent quantities.

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