分类： 物理学 >> 核物理学 提交时间： 2016-09-14
摘要：We calculate the next-to-next-to-leading-order (NNLO) perturbative corrections to P-wave quarkonia annihilation decay to two photons, in the framework of nonrelativistic QCD (NRQCD) factorization. The order-α2s short-distance coefficients associated with each helicity amplitude are presented in a semi-analytic form, including the "light-by-light" contributions. With substantial NNLO corrections, we find disquieting discrepancy when confronting our state-of-the-art predictions with the latest \textsf{BESIII} measurements, especially fail to account for the measured χc2→γγwidth. Incorporating the effects of spin-dependent forces would even exacerbate the situation, since it lifts the degeneracy between the nonperturbative NRQCD matrix elements of χc0 and χc2 toward the wrong direction. We also present the order-α2s predictions to χb0,2→γγ, which await the future experimental test.
分类： 物理学 >> 核物理学 提交时间： 2016-09-13
摘要：Unlike the bewildering situation in the γγ∗→π form factor, a widespread view is that perturbative QCD can decently account for the recent \textsc{BaBar} measurement of γγ∗→ηc transition form factor. The next-to-next-to-leading order (NNLO) perturbative correction to the γγ∗→ηc,b form factor, is investigated in the NRQCD factorization framework for the first time. As a byproduct, we obtain by far the most precise order-α2s NRQCD matching coefficient for the ηc,b→γγ process. After including the substantial negative order-α2s correction, the good agreement between NRQCD prediction and the measured γγ∗→ηc form factor is completely ruined over a wide range of momentum transfer squared. This eminent discrepancy casts some doubts on the applicability of NRQCD approach to hard exclusive reactions involving charmonium.
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