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Compact multigluonic scattering amplitudes with heavy scalars and fermions
Paola Ferrario1, Germán Rodrigo, Pere Talavera
1Instituto de Física Corpuscular, CSIC-Universitat de València, Apartado de Correos 22085, E-46071 Valencia, Spain. paola.ferrario@ific.uv.es
Physical Review Letters
|May 23, 2006
Summary
We derived a compact formula for scattering amplitudes involving scalar particles and gluons. This result simplifies calculations and confirms new theoretical relationships between different particle types.
Area of Science:
- High Energy Physics
- Quantum Field Theory
- Particle Physics
Background:
- Scattering amplitudes are fundamental in quantum field theory for describing particle interactions.
- Recursion relations offer a powerful method for calculating these amplitudes, but can become complex.
- Understanding relationships between different particle types, like scalars and fermions, is crucial for theoretical consistency.
Purpose of the Study:
- To derive a compact and efficient expression for scattering amplitudes of massive scalar-antiscalar pairs with positive helicity gluons.
- To establish a foundational building block for calculating other helicity configurations using recursion relations.
- To verify theoretical predictions, specifically SUSY-like Ward identities, by comparing scalar and fermion-gluon scattering amplitudes.
Main Methods:
- Combined the Berends-Giele and on-shell recursion relations.
- Developed an analytical expression for the scattering amplitude.
- Performed explicit calculations to compare scalar and fermion amplitudes.
Main Results:
- Obtained an extremely compact expression for the scattering amplitude of a complex massive scalar-antiscalar pair and positive helicity gluons.
- Demonstrated that this expression serves as a fundamental component for constructing other helicity configurations.
- Showed that the scattering amplitude of massive fermions to positive helicity gluons is proportional to the scalar one.
Conclusions:
- The derived compact expression simplifies the calculation of specific scattering amplitudes.
- The proportionality between scalar and fermion amplitudes confirms predicted SUSY-like Ward identities.
- This work provides a key tool for further theoretical investigations in particle physics.
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