The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD

Abstract

We determine, in the antenna subtraction framework for handling infrared divergences in higher order QCD calculations, the real-virtual antenna functions for processes involving the production of a pair of massive quarks by an uncolored initial state at NNLO QCD. The integrated leading and subleading color real-virtual antenna functions are computed analytically in terms of (cyclotomic) harmonic polylogarithms. As a by-product and check we compute $R_Q=\sigma (e^{+}{e}^{-}\to {\gamma }^{\ast }\to Q\bar{Q}X)/\sigma (e^{+}{e}^{-}\to {\gamma }^{\ast }\to {\mu }^{+}{\mu }^{-})$ and compare with existing results. Our result for $R_Q$ is exact to order ${\alpha }_s^2$.

Latex, 22 pages

References in corpus (18)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Algorithm FIRE -- Feynman Integral REduction
• A novel subtraction scheme for double-real radiation at NNLO
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Feynman Diagrams and Differential Equations
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution
• A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
• SecDec: A general program for sector decomposition
• Infrared structure of e+e- --> 3 jets at NNLO
• Reconstruction of heavy quark current correlators at O(α_s^3)
• The QCD form factor of heavy quarks at NNLO
• NLO Antenna Subtraction with Massive Fermions
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms
• NNLO corrections to 2-jet observables in electron-positron annihilation

Cited by in corpus (5)

• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• Top-quark forward-backward asymmetry in e+e- annihilation at NNLO in QCD
• Top-quark pair production at next-to-next-to-leading order QCD in electron positron collisions
• Precise evaluation of $h\to c\bar{c}$ and axion-like particle production
• Forward-backward asymmetries of the heavy quark pair production in $e^{+}{e}^{-}$ collisions at $\mathcal{O}({\alpha }_s^2)$