ATLAS reports an 8+ sigma excess in ttbar production near threshold, consistent with NRQCD quasi-bound states and measuring 9.3 pb.
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Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
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abstract
A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is set by the heavy quark mass $M$, from the longer-distance scales associated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of 4-fermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant $\alpha_s(M)$. The matrix elements are organized into a hierarchy according to their scaling with $v$, the typical velocity of the heavy quark. An analogous factorization formalism is developed for the production cross sections of heavy quarkonium in processes involving momentum transfers of order $M$ or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of S-wave states, up to corrections of relative order $v^3$, and of P-wave states, up to corrections of relative order $v^2$.
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representative citing papers
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First NNLO QCD short-distance coefficients for the ³S₁⁽⁸⁾ gluon fragmentation function are obtained numerically to high precision, with analytic endpoint logarithms reconstructed for threshold resummation.
Factorizes NRQCD production matrix elements for S- and P-wave quarkonia into wavefunctions and universal chromo-electric/magnetic gluon correlators via hybrid vNRQCD/pNRQCD and Hubbard-Stratonovich transformation at leading velocity order.
Only the C-even twist-3 gluon distribution contributes to the J/psi single transverse-spin asymmetry, providing a probe of gluon TMDs with sizable predicted effects at collider energies.
Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.
BOEFT quantifies threshold-induced shifts in quarkonium masses below threshold by solving coupled Schrödinger equations using lattice potentials and one parameter fixed to the χ_c1(3872) mass.
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Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.
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