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Heavy quark form factors in the large $\beta_0$ limit

High Energy Physics - Phenomenology 2017-08-02 v4

Abstract

Heavy quark form factors are calculated at β0αs1\beta_0 \alpha_s \sim 1 to all orders in αs\alpha_s at the first order in 1/β01/\beta_0. The nf2αs3n_f^2 \alpha_s^3 terms in the recent results [arXiv:1611.07535] for the vector form factors are confirmed, and nfL1αsLn_f^{L-1} \alpha_s^L terms for higher LL are predicted.

Keywords

Cite

@article{arxiv.1704.07968,
  title  = {Heavy quark form factors in the large $\beta_0$ limit},
  author = {A. G. Grozin},
  journal= {arXiv preprint arXiv:1704.07968},
  year   = {2017}
}

Comments

v2: the section on inversion relations extended; v3: 3 refs added, discussion of the hypergeometric function expansion extended; v4: eq. (22) and fig. 5 corrected