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Drell-Yan Process and Parton Shower Integration: Updates and Implementation Strategies

This presentation by Luca D'Errico at the VMCnet meeting on January 15, 2009, provides an overview of the Drell-Yan process and its integration with parton shower simulations. It details the implementation of the process in C++, using custom code and interfacing with Herwig++. Key topics include the handling of IR divergences via the Catani-Seymour subtraction method, the structure of dipoles, and the verification of the Drell-Yan subprocesses at NLO. The talk concludes with a summary of ongoing work and long-term objectives in QCD phenomenology and Monte Carlo methods.

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Drell-Yan Process and Parton Shower Integration: Updates and Implementation Strategies

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  1. “Drell-Yanprocess & partonshower” VMCnet network meeting Updatesofmy work Luca D’ Errico Durham, 15 January 2009

  2. Plan • Introduction • Statusofmy work • Summary and outlookofmystudies

  3. WhyDrell-Yanprocess? • Process-partonshower interface • Startingwitheasiestprocess • Implementit in C++ • Useown code • Integrate it in Herwig++

  4. Drell-Yanprocess IIR divergences

  5. Catani-Seymoursubtractionmethod I hep-ph/9605323 General idea:

  6. Hastoexactly match the singularbehaviourofrealterm • Hastobeintegrableanalyticallyover the single partonsubspaceleading IR divergences • Hastobeconvenientfor MC integration • Isconstructed in a way thatisprocessindipendent The counterterm:

  7. DipolesforDrell-Yanprocess Checkedbyhandthatthesedipolescancel the singularbehaviourof cross section at NLO!

  8. LO Drell-Yansubprocesses Completelyimplemented at NLO … … • Take care ofpossibleinterferenceterm • Characterisecompletely the massivefinalstates • Randomnumbergenerator and phasespacegenerator • Cuts: Rapidity and Lego Plot Separation The subprocesseshavebeenstudiedbyhand!

  9. Once the code isdone Fixed a subprocess: • Debug it at LO • Implement LO-code in ThePEG • Checks • Debugit at NLO • ImplementNLO-code in ThePEG • Checks • Matching

  10. Debug Fixedsubprocess:

  11. Formula

  12. ImplementationasThePEG ME MEBase 2->2 PSG 2->3 PSG … LO ME NLO ME …

  13. Summary and outlook • QCD Phenomenology • Monte Carlo Method • C++ structures • External Herwig++ libraries (LHAPDF, CLHEP ) • Root • Debug (Checksbyhand, HELAC) • ThePEG (MEBase, ME2to2Base, …) • Interfacemy code with Simon’sshower • Otherprocesses (VBF)

  14. Long termoutlook • Becomefamiliarwithsuch interface • Deal with more complicate processes • Write interface forgeneralmatrixelement

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