$\mathcal{O}(\alpha {\alpha }_s)$ corrections to the $\gamma t\bar{t}$ vertex at the top quark threshold

Abstract

We compute the last missing piece of the two-loop $\mathcal{O}(\alpha {\alpha }_s)$ corrections to $\gamma t\bar{t}$ vertex at the $t\bar{t}$ threshold due to the exchange of a $W$ boson and a gluon. This contribution constitutes a building block of the top quark threshold production cross section at electron positron colliders.

22 pages, 8 figures

References in corpus (15)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Feynman Diagrams and Differential Equations
• Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• Fermionic contributions to the three-loop static potential
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• Ultrasoft contribution to quarkonium production and annihilation
• Four-fermion production near the W pair production threshold
• Ultrasoft contribution to heavy-quark pair production near threshold
• Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current
• On Electroweak Matching Conditions for Top Pair Production at Threshold
• Complete Higgs mass dependence of top quark pair threshold production to order $\alpha {\alpha }_s$
• NNNLO results on top-quark pair production near threshold

Cited by in corpus (5)

• Heavy quarkonium: progress, puzzles, and opportunities
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• Threshold corrections to the gamma t anti-t vertex at O(alpha alpha(s))
• Non-relativistic high-energy physics: top production and dark matter annihilation
• Supersymmetric Corrections to the Threshold Production of Top Quark Pairs