This article was accepted into the corpus but its outbound wikilinks were never NER-processed — typical at the deepest BFS hop or when the run's entity cap was reached. No expansion funnel to show.
| Collins–Soper–Sterman | |
|---|---|
| Name | Collins–Soper–Sterman |
| Known for | Transverse momentum resummation, QCD factorization |
| Fields | Theoretical physics, Particle physics |
Collins–Soper–Sterman is a theoretical formalism in quantum chromodynamics associated with transverse momentum resummation and factorization in high-energy scattering processes. It unifies concepts developed by theorists working on perturbative corrections in processes studied at laboratories such as CERN, Fermilab, SLAC National Accelerator Laboratory, DESY, and it has been applied in analyses by collaborations including ATLAS, CMS, LHCb, DØ, and CDF. The formalism builds on earlier work by researchers affiliated with institutions like Massachusetts Institute of Technology, Princeton University, Harvard University, University of California, Berkeley, and Brookhaven National Laboratory.
The development traces to studies of transverse momentum distributions and soft gluon emission in perturbative Quantum chromodynamics by theorists connected to projects at CERN Large Hadron Collider, Tevatron, HERA, PETRA, and collaborations involving SLAC, Brookhaven National Laboratory, Lawrence Berkeley National Laboratory, and universities such as Caltech, Columbia University, University of Chicago, Yale University, and University of Cambridge. Early influences include factorization proofs and parton model refinements associated with work at Stanford Linear Accelerator Center, Institute for Advanced Study, MIT, and theoretical programs funded by agencies like National Science Foundation and Department of Energy. Subsequent refinements involved comparisons with predictions relevant to experiments at SPS (particle accelerator), LEP, RHIC, LHCb, and analysis groups within collaborations such as ATLAS, CMS, DØ, and CDF.
The framework integrates perturbative calculations in Quantum chromodynamics with factorization theorems that separate short-distance coefficients from long-distance functions used in analyses at CERN, Fermilab, DESY, SLAC, and theoretical centers like Perimeter Institute and Institute for Advanced Study. It employs evolution equations akin to those used in treatments at Harvard University, Princeton University, Caltech, Stanford University, and University of Oxford for renormalization group running and scale dependence, paralleling methods applied in studies of processes at LEP, HERA, Tevatron, and LHC. The formalism connects to transverse-momentum-dependent distributions studied at Jefferson Lab, RHIC, J-PARC, CERN, and theoretical collaborations involving Brookhaven National Laboratory, Lawrence Berkeley National Laboratory, and DESY.
The CSS resummation formalism organizes logarithmically enhanced contributions in transverse momentum spectra using techniques developed in perturbative Quantum chromodynamics and renormalization group methods employed by researchers at MIT, Princeton University, Harvard University, Stanford University, and Caltech. It constructs impact-parameter space expressions and resummed exponents that parallel analyses carried out for processes at CERN, Fermilab, DESY, LEP, and RHIC, and it interfaces with operator definitions used at Brookhaven National Laboratory, Jefferson Lab, SLAC, and Perimeter Institute. The formalism's ingredients—hard, soft, and collinear functions—mirror factorization components derived in contexts involving ATLAS, CMS, LHCb, DØ, and CDF measurements and are evolved using equations analogous to those used in treatments at Institute for Advanced Study, University of Cambridge, University of Oxford, and Yale University.
Applications include precision predictions for vector boson production, Higgs boson transverse momentum spectra, Drell–Yan processes, and semi-inclusive deep inelastic scattering measurements relevant to collaborations such as ATLAS, CMS, LHCb, DØ, CDF, HERA, and Jefferson Lab. Analyses using the formalism have been essential for phenomenology at CERN Large Hadron Collider, Tevatron, RHIC, LEP, and HERA, and for global fits of parton distributions conducted by groups at CTEQ, NNPDF, MSTW, HERAPDF, Jefferson Lab Hall A, and theory teams at Perimeter Institute and Institute for Advanced Study. It has also been employed in studies of transverse-momentum-dependent distributions at Jefferson Lab, J-PARC, RHIC, and in precision electroweak measurements at LEP and CERN.
Implementations of resummation algorithms based on the CSS formalism appear in computational tools developed at institutions including CERN, Fermilab, SLAC, Brookhaven National Laboratory, Lawrence Berkeley National Laboratory, Caltech, and collaborations such as CTEQ, NNPDF, and MSTW. Software libraries and Monte Carlo programs incorporating CSS-based resummation have been integrated into frameworks used by ATLAS, CMS, LHCb, DØ, CDF, HERWIG, PYTHIA, and SHERPA groups, with validation against theoretical calculations from researchers at MIT, Princeton University, Harvard University, Stanford University, and Perimeter Institute. Numerical techniques include Fourier-Bessel transforms in impact-parameter space, matching to fixed-order results calculated using methods developed at CERN, Fermilab, DESY, SLAC, and theory centers like Institute for Advanced Study.
Experimental tests have compared CSS-based predictions with measurements from ATLAS, CMS, LHCb, DØ, CDF, LEP, HERA, and RHIC, informing global analyses by groups at CTEQ, NNPDF, MSTW, and experimental programs at Jefferson Lab and Brookhaven National Laboratory. Phenomenological studies using the formalism have impacted extractions of parton distribution functions, transverse-momentum-dependent distributions, and precision determinations of Standard Model parameters in contexts studied at CERN Large Hadron Collider, Tevatron, LEP, HERA, and Jefferson Lab. Continued comparisons between theory and data involve collaborations among groups at Perimeter Institute, Institute for Advanced Study, Caltech, Princeton University, and Harvard University to refine nonperturbative inputs and matching procedures.