Papers › Two-loop form factors for P-wave quarkonium production and decay
Two-loop form factors for P-wave quarkonium production and decay
Melih A. Ozcelik
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We present the analytical results for the two-loop form factors needed for χ_(Q,J) production and decay. We consider the two-loop corrections to the process γγ↔³ P_J^([1]), that has been known only numerically before, and the processes gg ↔³ P_J^([1]), γg ↔³ P_J^([8]) and gg ↔³ P_J^([8]), which have not been computed before. We observe that the NRQCD pole structure of the two-loop amplitude in the gg channel is more involved for the spin-triplet P-wave case than for the pseudo-scalar S-wave case. It involves in addition to the standard Coulomb singularity also a new singularity whose cancellation requires the inclusion of the gg ↔³S₁^([8]) form factor. We give the high precision numerical results for the hard functions that can be used to compute χ_(Q,J) production and decay up to NNLO accuracy.
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