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$\alpha_sv^2$ corrections to $\eta_c$ and $\chi_{cJ}$ production recoiled with a photon at $e^+e^-$ colliders
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abstract
We consider the production of the $\eta_c$ and $\chi_{cJ}$ states recoiled with a photon up to $\mathcal{O}(\alpha_s v^2)$ at BESIII and B-factories within the frame of NRQCD factorization. With the corrections, we revisit the numerical calculations to the cross sections for the $\eta_c(nS)$ and the $\chi_{cJ}(mP)$ states. We argue that the search for $XYZ$ states with even charge conjugation such as $X(3872)$, $X(3940)$, $X(4160)$, and $X(4350)$ recoiled with a photon at BESIII may help clarify the nature of these states. For completeness, the production of charmonium with even charge conjugation recoiled with a photon at B factories is also discussed.
Forward citations
Cited by 4 Pith papers
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Automated NRQCD and NRQED simulations of quarkonium and leptonium production with P-wave states and physical-mass effects
MadSONS extends MadGraph to automated LO NRQCD/NRQED event generation for arbitrary S- and P-wave bound states, with dual-number projectors and physical-mass reshuffling.
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Revisiting relativistic corrections to inclusive $J/\psi$ production at B factories: Complete expansion for three-body quarkonium production
Full final-state kinematic expansion yields scheme-independent O(v²) corrections of about −14.6% (cc̄) and +12% (non-cc̄) for inclusive J/ψ at B factories, yet tension with Belle data remains.
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Semi-analytical results for $e^+e^-\to J/\psi + X_{{\rm non\,}c\bar{c}}$ up to $\mathcal{O}(\alpha_s v^2)$ at B factories
NRQCD calculation of O(α_s), O(v²) and first-time O(α_s v²) corrections to e⁺e⁻ → J/ψ + X_non c c̄, with r = m_c/√s expansions to r⁴⁰, yielding cross section 0.530 pb consistent with Belle but angular parameter deviating >2σ.
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Precision Study of Semileptonic and Non-Leptonic $B_c$ Decays to $\eta_c$ and P Wave Charmonia
Data-constrained NRQCD form factors yield R(χ_c0)=0.185(3), R(χ_c1)=0.147(26), R(h_c)=0.068(2) and related B_c branching fractions for P-wave charmonia.
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