Inclusive Hadroproduction of P-Wave Heavy Quarkonia in Potential Nonrelativistic QCD

Area of Science:

• High Energy Physics
• Quantum Chromodynamics
• Particle Physics

Background:

• Inclusive production of P-wave quarkonia is essential for understanding heavy quarkonium physics.
• Previous methods for determining color-octet NRQCD matrix elements relied on experimental data.
• A precise theoretical framework is needed for accurate predictions.

Purpose of the Study:

• To compute color-singlet and color-octet nonrelativistic QCD (NRQCD) long-distance matrix elements for P-wave quarkonia.
• To develop a method for determining the color-octet NRQCD matrix element independently of experimental data.
• To provide accurate theoretical predictions for inclusive quarkonia production at the LHC.

Main Methods:

• Utilizing the framework of potential nonrelativistic QCD (pNRQCD).
• Calculating color-singlet and color-octet NRQCD long-distance matrix elements.
• Applying the developed formalism to inclusive production processes.

Main Results:

• Successfully computed the color-singlet and color-octet NRQCD long-distance matrix elements for P-wave quarkonia.
• Determined the color-octet NRQCD long-distance matrix element without relying on measured cross section data.
• Obtained inclusive cross sections for chi_cJ and chi_bJ at the LHC that agree well with experimental data.

Conclusions:

• The developed formalism provides a novel way to determine NRQCD matrix elements.
• The method allows for theoretical predictions of heavy quarkonia production processes.
• This approach can be extended to all inclusive heavy quarkonia production processes.