Hard scattering factorization from effective field theory

By Christian W. Bauer, S. Fleming, D. Pirjol, I. Rothstein, Iain W. Stewart. 2002

565 citations recorded by the source corpus.

In this paper we show how gauge symmetries in an effective theory can be used to simplify proofs of factorization formulas in highly energetic hadronic processes. We use the soft-collinear effective theory, generalized to deal with back-to-back jets of collinear particles. Our proofs do not depend on the choice of a particular gauge, and the formalism is applicable to both exclusive and inclusive factorization. As examples we treat the $\ensuremath{\pi}\ensuremath{-}\ensuremath{\gamma}$ form factor $(\ensuremath{\gamma}{\ensuremath{\gamma}}^{*}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}),$ light meson form factors $({\ensuremath{\gamma}}^{*}\stackrel{\ensuremath{\rightarrow}}{M}M),$ as well as deep inelastic scattering ${(e}^{\ensuremath{-}}\stackrel{\ensuremath{\rightarrow}}{p}{e}^{\ensuremath{-}}X),$ the Drell-Yan process $(p\overline{p}\ensuremath{\rightarrow}{\mathrm{Xl}}^{+}{l}^{\ensuremath{-}}),$ and deeply virtual Compton scattering $({\ensuremath{\gamma}}^{*}\stackrel{\ensuremath{\rightarrow}}{p}{\ensuremath{\gamma}}^{(*)}p).$

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/651281969f584db450506a1b5ee0ae628193a3be

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In Nuclear and High Energy Physics

Citations in the corpus

Calculation of the quark and gluon form factors to three loops in QCD (2010, methodology): “The SCET framework [18–23] originated in the study of heavy quarks, and has been subsequently generalized to massless collider processes [91].”
N-jettiness subtractions for NNLO QCD calculations (2015, background): “The factorization theorem for the N -jettiness cross section is known [50–52] from soft-collinear effective theory (SCET) [53–58].”
Factorization at the LHC: From parton distribution functions to initial state jets (2010, methodology): “To have a well-defined power expansion in this case, the different collinear directions ni have to be well separated [30],”
Higgs production with a central jet veto at NNLL+NNLO (2010, unknown): “The standard PDFs are defined in SCET by the matrix elements [74] fi(ξ = ω ′/P−, μ) = 〈 pn(P −) ∣∣Qi(ω′, μ)∣∣pn(P−)〉 , (A.”
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory (2012, background): “7) to a product of effective theory operators at the hard scale, as is done in the case of inclusive Drell-Yan [54].”
Associated production of a Higgs boson at NNLO (2016, unknown): “The tree-level helicity amplitude is then defined as follows3, A(1q , 2q , 3 + ` , 4` , pH) = 〈14〉[32] s34s12 (A.”
Factorization properties of soft graviton amplitudes (2011, methodology): “A number of approaches exist, such as Feynman diagram methods [16, 17], Wilson line techniques [18, 19], effective field theories [20, 21, 22, 23, 24, 25], and the recently developed path integral approach of [26].”