Resummation of Threshold Logarithms in Effective Field Theory for DIS, Drell-Yan and Higgs Production

By Ahmad Idilbi, X. Ji, F. Yuan. 2006

145 citations recorded by the source corpus.

We apply the effective field theoretic (EFT) approach to resum the large perturbative logarithms arising when partonic hard scattering cross sections are taken to the threshold limit. We consider deep inelastic scattering, Drell-Yan lepton pair production and the standard model Higgs production through gluon-gluon fusion via a heavy-top quark loop. We demonstrate the equivalence of the EFT approach with the more conventional, factorization-based methods to all logarithmic accuracies and to all orders in perturbation theory. Specific EFT results are shown for the resummation up to next-to-next-to-next-to leading logarithmic accuracy for the above-mentioned processes. We emphasize the relative simplicity by which we derive most of the results and more importantly their clear physical origin. We find a new relation between the functions f (q,g) in the quark and gluon form factors and the matching coefficients in Drell-Yanand Higgs production, which may explain their universality believed to hold to all orders in perturbation theory.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5aac66561345091ba1a88fa38b4f6bbe8da8bad1

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In Nuclear and High Energy Physics

Citations in the corpus

SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM (2012, unknown): “Even higher order QCD effects have been calculated [19–24] through resummation; electro-weak contributions reach up to 8% with respect to the leading order (LO) cross section [25–27].”
Soft gluon resummation for gluon-induced Higgs Strahlung (2014, background): “The most prominent example is the inclusive Higgs production via gluon fusion, gg → H [21–32].”
Calculation of the quark and gluon form factors to three loops in QCD (2010, background): “Experimentally relevant examples are the Drell-Yan and Higgs production processes in hadron-hadron colliders.”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “In this region, contributions from soft and collinear gluon emission can be resummed to all orders in the coupling constant, either using Mellin space methods [25, 26, 27, 28, 29] or within soft-collinear effective field theory (SCET) [30, 31, 32, 33, 34].”
Factorization at the LHC: From parton distribution functions to initial state jets (2010, background): “This Drell-Yan threshold limit has been studied extensively [42, 44, 68, 118, 126, 136, 150].”
Associated production of a Higgs boson at NNLO (2016, methodology): “Below the τ -cutoff parameter the technology of SCET [23, 33, 49–51] is used to provide a factorization theorem.”
Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL (2012, background): “[26] Ahmad Idilbi, Xiang-dong Ji, and Feng Yuan, “Resummation of threshold logarithms in effective field theory for DIS, Drell-Yan and Higgs production,” Nucl.”
The quark beam function at NNLL (2010, methodology): “The MS anomalous dimension for the hard function can be obtained [ 48 , 49] from the IR divergences of the on-shell massless quark form factor which are known to three loops [30],”
Higgs production with a central jet veto at NNLL+NNLO (2010, background): “The anomalous dimension coefficients for the hard Wilson coefficient to three loops are [59, 103, 104]”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, background): “This Drell-Yan threshold limit has been studied extensively [42, 44, 68, 118, 126, 136, 150].”
Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “Examples include threshold resummation for deep-inelastic scattering [97], Drell-Yan production [60, 98], Higgs-boson production [61, 99], and the extraction of αs from e +e− → 2 jets [100].”