Dynamical Threshold Enhancement and Resummation in Drell-Yan Production

By T. Becher, M. Neubert, Gang Xu. 2007

248 citations recorded by the source corpus.

Partonic cross sections for the production of massive objects in hadronic collisions receive large corrections when the invariant mass of the initial-state partons is just above the production threshold. Since typically the center-of-mass energy of the hadronic collision is much higher than the mass of the heavy objects, it is not obvious that these contributions translate into large corrections to the hadronic cross section. Using a recent approach to threshold resummation based on effective field theory, we quantify to which extent the fall-off of the parton densities at high x leads to a dynamical enhancement of the partonic threshold region. With the example of Drell-Yan production, we study the emergence of an effective physical scale characterizing the soft emissions in the process. We derive compact analytical expressions for the resummed Drell-Yan cross section and rapidity distribution directly in momentum space. They are free of Landau-pole singularities and are trivially matched onto fixed-order perturbative calculations. Evaluating the resummed cross sections at NNNLL order and matching onto NNLO fixed-order calculations, we perform a detailed numerical analysis of the cross section and rapidity distribution in pp collisions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0069f6b8e0cedfb336be99e2c5513bbac2974c32

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In Nuclear and High Energy Physics

Citations in the corpus

Introduction to Soft-Collinear Effective Theory (2014, methodology): “A detailed discussion of this point is given in Appendix A of [10].”
Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, methodology): “J H E P 0 6 ( 2 0 0 9 ) 0 8 1 given in [60], we have 2γ(αs) = γ (αs) + γ (αs) + β(αs)/αs.”
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].”
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].”
Soft gluon resummation in the signal-background interference process of gg(→ h∗) → ZZ (2015, methodology): “After applying the similar derivation procedure for Drell-Yan process [31] in the framework of soft-collinear effective theory (SCET) [32–36], it could be factorized to two parts, i.”
Jet shapes and jet algorithms in SCET (2010, unknown): “, [82, 83, 84]), generalized for non back-to-back jets:”
The quark beam function at NNLL (2010, background): “8 and 9 start to dominate already close to the x values where the PDFs are close to zero, rather than strictly near x = 1 [35].”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, unknown): “[39, 103] we choose the average of both scales,”
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].”