Two-loop off-shell QCD amplitudes in FDR

Abstract

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.

25 pages, 6 figures

References in corpus (2)

• A four-dimensional approach to quantum field theories
• Computation of $H\to gg$ in FDH and DRED: renormalization, operator mixing, and explicit two-loop results

Cited by in corpus (12)

• To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
• Collider Physics at the Precision Frontier
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Dimensional regularization vs methods in fixed dimension with and without ${\gamma }_5$
• Two-Loop Rational Terms in Yang-Mills Theories
• Rational Terms of UV Origin at Two Loops
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• NNLO final-state quark-pair corrections in four dimensions
• Numerical Evaluation of Two-Loop Integrals in FDR
• Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators
• Monte Carlo evaluation of divergent one-loop integrals without contour deformation
• Two-Loop Rational Terms for Spontaneously Broken Theories