Two-loop off-shell QCD amplitudes in FDR

被引:0
作者
Ben Page
Roberto Pittau
机构
[1] CERN,Departamento de Física Teórica y del Cosmos and CAFPE
[2] PH-TH,undefined
[3] Universidad de Granada,undefined
来源
Journal of High Energy Physics | / 2015卷
关键词
Renormalization Regularization and Renormalons; QCD; Scattering Amplitudes;
D O I
暂无
中图分类号
学科分类号
摘要
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 MS¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\mathrm{MS}} $$\end{document} renormalization scheme. As a by-product of our analysis, we solve a problem analogous to the historical difficulties of the Four Dimensional Helicity (FDH) method beyond one loop. An alternative formulation of FDH is then presented that preserves the renormalizability properties of QCD without introducing evanescent quantities.
引用
收藏
相关论文
共 39 条
  • [1] Bogoliubov N(1957)On the multiplication of the causal function in the quantum theory of fields Acta Math. 97 227-undefined
  • [2] Parasiuk O(1966)Proof of the Bogolyubov-Parasiuk theorem on renormalization Commun. Math. Phys. 2 301-undefined
  • [3] Hepp K(1969)Convergence of Bogolyubov’s method of renormalization in momentum space Commun. Math. Phys. 15 208-undefined
  • [4] Zimmermann W(2012)A four-dimensional approach to quantum field theories JHEP 11 151-undefined
  • [5] Pittau R(2011)Regularization schemes and higher order corrections Phys. Rev. D 83 114005-undefined
  • [6] Kilgore WB(2011)The four-dimensional helicity scheme and dimensional reconstruction Phys. Rev. D 84 034044-undefined
  • [7] Boughezal R(2012)The four dimensional helicity scheme beyond one loop Phys. Rev. D 86 014019-undefined
  • [8] Melnikov K(1992)The computation of loop amplitudes in gauge theories Nucl. Phys. B 379 451-undefined
  • [9] Petriello F(2002)Supersymmetric regularization, two loop QCD amplitudes and coupling shifts Phys. Rev. D 66 085002-undefined
  • [10] Kilgore WB(2015)Computation of H → gg in DRED and FDH: renormalization, operator mixing and explicit two-loop results Eur. Phys. J. C 75 418-undefined