Kumar, NamanNamanKumar2025-12-032025-12-032025-12-0110.1016/j.physletb.2025.1400082-s2.0-105022793755http://repository.iitgn.ac.in/handle/IITG2025/33568We propose that the infrared (IR) running of Newton’s coupling provides a simple and universal explanation for large–distance modifications of gravity relevant to dark matter phenomenology. Within the effective field theory (EFT) framework, we model G ( k ) as a scale–dependent coupling governed by an anomalous dimension η . We show that the marginal case η=1 is singled out by renormalization group (RG) and dimensional arguments, leading to a logarithmic potential and a 1/ r force law at large distances, while smoothly recovering Newtonian gravity at short scales. The logarithmic correction is universal and regulator independent, indicating that the 1/ r force arises as the robust IR imprint of quantum–field–theoretic scaling. This provides a principled alternative to particle dark matter, suggesting that galactic rotation curves and related anomalies may be understood as manifestations of the IR running of Newton’s constant.trueDark matter | IR running of gravity | RG flowArticleDecember 20250140008WOS:001629150300005