NNLO non-resonant corrections to threshold top-pair production from e+ e- collisions: Endpoint-singular terms

Abstract

We analyse the subleading non-resonant contributions to the e+ e- -> W+ W- b bbar cross section at energies near the top-antitop threshold. These correspond to next-to-next-to-leading-order (NNLO) corrections with respect to the leading-order resonant result. We show that these corrections produce 1/epsilon endpoint singularities which precisely cancel the finite-width divergences arising in the resonant production of the W+ W- b bbar final state from on-shell decays of the top and antitop quarks at the same order. We also provide analytic results for the (m_t/Lambda)^2, (m_t/Lambda) and (m_t/Lambda)^0 log(Lambda) terms that dominate the expansion in powers of (Lambda/m_t) of the complete set of NNLO non-resonant corrections, where Lambda is a cut imposed on the invariant masses of the b W pairs that is neither too tight nor too loose (m_t Gamma_t << Lambda^2 << m_t^2).

36 pages, 6 figures. v2: minor title change and a few trivial corrections (mostly language) in accordance with the version published in PRD

References in corpus (6)

• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Four-fermion production near the W pair production threshold
• Ultrasoft contribution to heavy-quark pair production near threshold
• Electroweak non-resonant NLO corrections to e+ e- -> W+ W- b bbar in the t tbar resonance region
• Dominant NNLO corrections to four-fermion production near the W-pair production threshold
• Implementing invariant mass cuts and finite lifetime effects in top-antitop production at threshold

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• The Top-Antitop Threshold at the ILC: NNLL QCD Uncertainties
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• Non-resonant and electroweak NNLO correction to the $e^{+}{e}^{-}$ top anti-top threshold
• Higgs effects in top anti-top production near threshold in e+ e- annihilation
• P-wave contribution to third-order top-quark pair production near threshold
• Fully-differential Top-Pair Production at a Lepton Collider: From Threshold to Continuum
• A first estimate of the NNLO nonresonant corrections to top-antitop threshold production at lepton colliders
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• Non-relativistic high-energy physics: top production and dark matter annihilation