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Towards NNLO QCD predictions for off-shell top-quark pair production and decays

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arxiv 2507.11410 v1 pith:3SJG6TDD submitted 2025-07-15 hep-ph hep-ex

Towards NNLO QCD predictions for off-shell top-quark pair production and decays

classification hep-ph hep-ex
keywords correctionsdecaysnnloproductiontop-quarktwo-loopamplitudesapproximation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider QCD radiative corrections to $W^+W^-b {\bar b}$ production with leptonic decays and massive bottom quarks at the LHC. We perform an exact next-to-leading order (NLO) calculation within the $q_T$-subtraction formalism and validate it against an independent computation in the dipole subtraction scheme. Non-resonant and off-shell effects related to the top quarks and the leptonic decays of the $W^\pm$ bosons are consistently included. We also consider the approximation in which the real-emission contribution is computed exactly while the virtual is evaluated in the double-pole approximation (DPA), which formally requires the inclusion of both factorisable and non-factorisable corrections. We evaluate such contributions and show that the DPA performs remarkably well at both the inclusive and differential levels. We then extend our calculation to the next-to-next-to-leading order (NNLO). All tree-level and one-loop amplitudes are evaluated exactly, while the missing two-loop virtual contribution is estimated using the DPA. The factorisable two-loop corrections are explicitly computed by relying on available results for the polarised two-loop on-shell top-quark pair production amplitudes and the corresponding top-quark decays. The non-factorisable contributions are inferred by exploiting the cancellation of logarithmic singularities in the $\Gamma_t\to 0$ limit through an on-shell matching procedure. The NNLO corrections for the inclusive cross section are found to increase the NLO prediction by approximately $11\%$, with a numerical uncertainty that is conservatively estimated to be below the $2\%$ level $\unicode{x2013}$ significantly smaller than the $5\%$ residual perturbative uncertainties.

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Forward citations

Cited by 8 Pith papers

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