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Sudakov resummation in the small-x saturation formalism
A H Mueller1, Bo-Wen Xiao, Feng Yuan
1Department of Physics, Columbia University, New York, New York 10027, USA.
Physical Review Letters
|March 12, 2013
Summary
This study separates Sudakov logarithms from small-x logarithms in particle production during high-energy collisions. This advances understanding of factorization in saturation formalism for future LHC research.
Area of Science:
- High Energy Physics
- Quantum Field Theory
- Particle Physics
Background:
- Understanding particle production in high-energy collisions is crucial.
- The small-x saturation formalism describes processes at low parton momentum fractions.
- Sudakov logarithms arise in hard scattering processes and require careful treatment.
Purpose of the Study:
- To explicitly calculate massive scalar particle production in high-energy pA collisions.
- To demonstrate the systematic separation of Sudakov-type logarithms from small-x logarithms.
- To provide insights into factorization properties within the saturation formalism.
Main Methods:
- One-loop order calculations for massive scalar particle production.
- Analysis within the small-x saturation formalism.
- Derivation of generic features of Sudakov logarithms and all-order resummation.
Main Results:
- Demonstrated the first systematic separation of Sudakov-type logarithms from small-x logarithms.
- Derived the generic features of Sudakov logarithms and their all-order resummation.
- Established a foundation for understanding factorization in saturation formalism.
Conclusions:
- The separation of Sudakov and small-x logarithms offers new insights into factorization.
- Results have phenomenological implications for the Large Hadron Collider (LHC).
- The methodology can be extended to other hard processes in small-x calculations.
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