$\mathcal{O}(\alpha {\alpha }_s)$ 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.

arXiv comment22 pages, 8 figures

References in corpus (43)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Harmonic Polylogarithms
• Asymptotic expansion of Feynman integrals near threshold
• Cuba - a library for multidimensional numerical integration
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Automatized analytic continuation of Mellin-Barnes integrals
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Feynman Diagrams and Differential Equations
• High-precision calculation of multi-loop Feynman integrals by difference equations
• Two-loop Correction to the Leptonic Decay of Quarkonium
• Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200
• Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near the threshold
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• Electroweak gauge bosons self--energies: complete QCD corrections
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Two-loop QCD corrections of the massive fermion propagator
• Ultrasoft Effects in Heavy-Quarkonium Physics
• Fermionic contributions to the three-loop static potential
• Multi-parameter fits to the t-tbar threshold observables at a future e+e- linear collider
• Effective theory approach to unstable particle production
• 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
• Power Counting in Dimensionally Regularized NRQCD
• Heavy Quarkonium Spectrum and Production/Annihilation Rates to order ${\beta }_0^3{\alpha }_s^3$
• Ultrasoft contribution to quarkonium production and annihilation
• Running of the heavy quark production current and 1/k potential in QCD
• Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD
• Electroweak Absorptive Parts in NRQCD Matching Conditions
• Four-fermion production near the W pair production threshold
• Ultrasoft contribution to heavy-quark pair production near threshold
• Analytic two-loop virtual corrections to $b-->d{l}^{+}{l}^{-}$
• Heavy-quarkonium creation and annihilation with O(alpha_s^3 ln(alpha_s)) accuracy
• 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 $\alpha {\alpha }_s$
• Analytical results for $e^{+}{e}^{-}\to t\bar{t}$ and $\gamma \gamma \to t\bar{t}$ observables near the threshold up to the next-to-next-to-leading order of NRQCD
• Two-Loop $\mathcal{O}(\alpha {\alpha }_s)$ Corrections to the On-Shell Fermion Propagator in the Standard Model
• NNNLO results on top-quark pair production near threshold
• Top Pair Production at Threshold and Effective Theories

Cited by in corpus (12)

• Heavy quarkonium: progress, puzzles, and opportunities
• FIESTA 2: parallelizeable multiloop numerical calculations
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• Non-resonant and electroweak NNLO correction to the $e^{+}{e}^{-}$ top anti-top threshold
• Phase Space Matching and Finite Lifetime Effects for Top-Pair Production Close to Threshold
• Third-order correction to top-quark pair production near threshold I. Effective theory set-up and matching coefficients
• Hepp and Speer Sectors within Modern Strategies of Sector Decomposition
• 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
• Non-QCD contributions to top-pair production near threshold