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Resummation by RG Evolution

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Part of the book series: Lecture Notes in Physics ((LNP,volume 896))

Abstract

The goal of this section is to discuss renormalization and Renormalization Group (RG) evolution in the effective theory. In the next section, we carry out the full computation of the resummed cross section in the case of Drell-Yan scattering. Here, in order to keep our discussion simple, we first consider the case of the Sudakov form factor in QCD for which the relevant factorization (in the sense of scale separation) theoremwas obtained at the end of the previous section. Obviously, this unphysical quantity is not of interest by itself, but this simple example illustrates the salient features which one also encounters in the analysis of physical processes.

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References

  1. P.A. Baikov, K.G. Chetyrkin, A.V. Smirnov, V.A. Smirnov, M. Steinhauser, Quark and gluon form factors to three loops. Phys. Rev. Lett. 102, 212002 (2009) [arXiv:0902.3519]

    ADS  Google Scholar 

  2. T. Gehrmann, E.W.N. Glover, T. Huber, N. Ikizlerli, C. Studerus, The quark and gluon form factors to three loops in QCD through to \(O(\epsilon ^{2})\). J. High Energy Phys. 11, 102 (2010) [arXiv:1010.4478]

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  3. A.M. Polyakov, Gauge fields as rings of glue. Nucl. Phys. B164, 171–188 (1980)

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  4. R.A. Brandt, F. Neri, M.-A. Sato, Renormalization of loop functions for all loops. Phys. Rev. D24, 879 (1981)

    ADS  Google Scholar 

  5. I.A. Korchemskaya, G.P. Korchemsky, On lightlike Wilson loops. Phys. Lett. B287, 169–175 (1992)

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Becher, T., Broggio, A., Ferroglia, A. (2015). Resummation by RG Evolution. In: Introduction to Soft-Collinear Effective Theory. Lecture Notes in Physics, vol 896. Springer, Cham. https://doi.org/10.1007/978-3-319-14848-9_5

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