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

## TL;DR

This paper computes heavy quark form factors in the large b0b1 limit to all orders in b1b1, confirming recent results and predicting higher-order terms, advancing theoretical understanding of quantum chromodynamics at high orders.

## Contribution

It introduces a method to calculate heavy quark form factors at b0b1 b1_s d 1 to all orders, confirming and extending previous results.

## Key findings

- Confirmed b1_s^3 b0b1^2 terms in recent vector form factor results.
- Predicted higher b1_s^L b0b1^{L-1} terms for larger L.
- Validated the large b0b1 limit approach for all orders.

## 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.