Where Can I Find a Clear Derivation of the DGLAP g-g Splitting Function?

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SUMMARY

The discussion centers on the derivation of the P_gg (gluon-gluon) splitting function within the context of the Altarelli-Parisi/DGLAP evolution equations. The original paper by Altarelli and Parisi from 1977 was referenced, along with Peskin & Schroeder's "An Introduction to Quantum Field Theory," which aided in understanding the complex notation. The participant successfully navigated through these resources to find the explicit solution for P_gg, highlighting the challenges in deriving this function compared to P_qq, P_qg, and P_gq.

PREREQUISITES
  • Understanding of DGLAP evolution equations
  • Familiarity with gluon-gluon interactions in quantum field theory
  • Knowledge of Feynman rules and their application
  • Experience with advanced particle physics literature
NEXT STEPS
  • Study the Altarelli-Parisi 1977 paper for foundational concepts
  • Explore Peskin & Schroeder's "An Introduction to Quantum Field Theory" for detailed explanations
  • Research the derivation of P_gg in advanced particle physics textbooks
  • Investigate the role of the 3-gluon vertex in QCD processes
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Particle physicists, PhD students in experimental physics, and researchers seeking to deepen their understanding of QCD and the DGLAP evolution equations.

Sideways
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Hi -

this is my first post. I'm a recent PhD particle experimentalist; though I'm trying to get a better understanding of underlying theory in my spare time (I hope to contribute more here later).

My question - does anyone know a good source for a derivation of the P_gg (gluon-gluon) splitting function in the Altarelli-Parisi/DGLAP evolution equations? This hasn't been an easy thing to come by. I've worked through solutions for P_qq, P_qg and P_gq ; P_gg is apparently considerably trickier, and explicit solutions seem accordingly more difficult to come by.

I've looked at Altarelli, Parisi's original paper, and I'm having trouble with the notation; I'm wondering if there's a (newer?) textbook out there that works this out explicitly.

Thanks!
 
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Never mind - figured it out! (Sifting through the 1977 paper by Altarelli/Parisi, Peskin & Schroeder's Field Theory, and the 3-gluon vertex Feynman rule eventually confessed the right answer.)
 

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