# A new method that automatically regularizes scattering amplitudes

## TL;DR

This paper introduces autoregularization, a novel regularization method for scattering amplitudes that uses the process's intrinsic scale, successfully matching experimental data and predicting asymptotic freedom in QCD.

## Contribution

The paper proposes autoregularization, a new regularization technique that inherently regularizes divergences using the process scale, applicable to both QED and QCD.

## Key findings

- Accurately calculates scattering amplitudes in QED matching experimental data.
- Predicts asymptotic freedom in QCD using autoregularization.
- Results suggest a smaller vacuum energy density than the cosmic critical density.

## Abstract

We present a new regularization procedure called autoregularization. The new procedure regularizes the divergences, encountered previously in a scattering process, using the intrinsic scale of the process. We use autoregularization to calculate the amplitudes of several scattering processes in QED and compare the calculations with experimental measurements over a broad range of center-of-momentum energies ( $\lesssim$ MeV to $\gtrsim$ 200 GeV ). The calculated amplitudes are found to be in good agreement with experimental data. To test autoregularization in a non-Abelian gauge theory, we calculate the QCD coupling constant at 1-loop and show that, like the known regularization schemes, autoregularization also predicts asymptotic freedom in QCD. Finally, we show that the vacuum energy density of the free fields in the Standard Model, calculated using autoregularization, is smaller than the current estimate of the cosmic critical density.