Heavy quark form factors in the large ${\beta }_0$ limit

Abstract

Heavy quark form factors are calculated at ${\beta }_0{\alpha }_s\sim 1$ to all orders in ${\alpha }_s$ at the first order in $1/{\beta }_0$. The $n_f^2{\alpha }_s^3$ terms in the recent results [arXiv:1611.07535] for the vector form factors are confirmed, and $n_f^{L-1}{\alpha }_s^L$ terms for higher $L$ are predicted.

arXiv commentv2: the section on inversion relations extended; v3: 3 refs added, discussion of the hypergeometric function expansion extended; v4: eq. (22) and fig. 5 corrected

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Cited by in corpus (9)

• 50 Years of Quantum Chromodynamics
• Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
• The Heavy Quark Form Factors at Two Loops
• Heavy Quark Form Factors at Three Loops in the Planar Limit
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• QCD cusp anomalous dimension: current status
• HQET vertex diagram: $\epsilon$ expansion
• Singlet and non-singlet three-loop massive form factors