Leading Logarithms in the Effective Theory of Gravity: corrections to the scalar mass
Abstract
In a low-energy effective field theory (EFT), scaling logarithmic terms arise from the renormalization of higher-dimensional couplings that absorb divergences generated by loop integrals with lower-order vertices. Consequently, leading logarithms (LLs) are generated entirely by the leading-order Lagrangian, rendering them universal low-energy predictions. Adapting techniques developed for chiral perturbation theory, we analyze the series of LLs in the EFT of general relativity. As a concrete application, we compute LL corrections to the scalar pole mass up to three-loop order and demonstrate that they can be determined recursively to arbitrary loop order. To confirm the physical validity of our results, we carry out the calculation using a general gauge-fixing parameter and explicitly verify its complete cancellation in the physical observable.
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BibTeX
@misc{mysliaeva2026leading,
title = {{Leading Logarithms in the Effective Theory of Gravity: corrections to the scalar mass}},
author = {Diana V. Mysliaeva and Kirill M. Semenov-Tian-Shansky and Dmitrii V. Vasilev and Alexey Vladimirov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38496},
eprint = {2609.38496},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38496},
}
RIS
TY - UNPB
TI - Leading Logarithms in the Effective Theory of Gravity: corrections to the scalar mass
AU - Diana V. Mysliaeva
AU - Kirill M. Semenov-Tian-Shansky
AU - Dmitrii V. Vasilev
AU - Alexey Vladimirov
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.38496
UR - https://arxiv.org/abs/2609.38496
AB - In a low-energy effective field theory (EFT), scaling logarithmic terms arise from the renormalization of higher-dimensional couplings that absorb divergences generated by loop integrals with lower-order vertices. Consequently, leading logarithms (LLs) are generated entirely by the leading-order Lagrangian, rendering them universal low-energy predictions. Adapting techniques developed for chiral perturbation theory, we analyze the series of LLs in the EFT of general relativity. As a concrete application, we compute LL corrections to the scalar pole mass up to three-loop order and demonstrate that they can be determined recursively to arbitrary loop order. To confirm the physical validity of our results, we carry out the calculation using a general gauge-fixing parameter and explicitly verify its complete cancellation in the physical observable.
ER -