Running beyond ALPs: shift-breaking and CP-violating effects Das Bakshi, Supratim Machado-Rodríguez, Jonathan Ramos, Maria Axions and ALPs Effective Field Theories New Light Particles Renormalization and Regularization We are grateful to Quentin Bonnefoy, Mikael Chala, Víctor Enguita, Renato Fonseca, Belén Gavela, Jonathan Kley, Javier Fuentes-Martín, Luca Merlo and Jorge Fernández de Trocóniz for illuminating discussions, and José Santiago and Pablo Olgoso for helping with matchmakereft [37]. We thank Luca Di Luzio and Paride Paradisi for pointing out a misunderstanding in the computation of the EDM contributions. We thank Anisha and Guilherme Guedes for comments on the manuscript, and Sunando Patra for suggestions on Mathematica utilities, and functions imported (and modified) from CoDEx [52]. The work of M. R. is supported by the Marie Sklodowska-Curie grant agreement No 860881-HIDDeN. The work of J.M.R. is supported by the Spanish MICIU through the National Program FPI-Severo Ochoa (grant number PRE2019-089233). S.D.B. acknowledges financial support from the Spanish Research Agency (Agencia Estatal de Investigación) under the grants No. PID2019-106087GB-C21/ 10.13039/501100011033 and PID2021-128396NB-100/AEI/10.13039/501100011-033; by the Junta de Andalucía (Spain) under the grants No FQM- 101, A-FQM-467-UGR18 and P18-FR-4314 (FEDER). J.M.R. acknowledges partial financial support from the Spanish Research Agency through the grants IFT Centro de excelencia Severo Ochoa Program No CEX2020-001007-S and PID2019-108892RB-I00, funded by MCIN/AEI/ 10.13039/50110001103. The logo of ALPRunner was inspired by output from DALL.E 2 of OpenAI. We compute the renormalization group equations (RGEs) of the Standard Model effective field theory (EFT) extended with a real scalar singlet, up to dimensionfive and one-loop accuracy. We compare our renormalization results with those found in the shift-symmetry preserving limit, which characterizes axion-like particles (ALPs). The matching and running equations below the electroweak scale are also obtained, including the mixing effects in the scalar sector. Such mixing leads to interesting phenomenological consequences that are absent in the EFT at the renormalizable level, namely new correlations among the triplet and quartic Higgs couplings are predicted. All RGEs obtained in this work are implemented in a new Mathematica package — ALPRunner, together with functions to solve the running numerically for an arbitrary set of UV parameters. As an application, we obtain electric dipole moment constraints on particular regions of the singlet parameter space, and quantify the level of shift-breaking in these regions. 2023-12-07T11:33:13Z 2023-12-07T11:33:13Z 2023-11-21 journal article Bakshi, S.D., Machado-Rodríguez, J. & Ramos, M. Running beyond ALPs: shift-breaking and CP-violating effects. J. High Energ. Phys. 2023, 133 (2023). [https://doi.org/10.1007/JHEP11(2023)133] https://hdl.handle.net/10481/86065 10.1007/JHEP11(2023)133 eng info:eu-repo/grantAgreement/EC/H2020/MSC HIDDeN 860881 http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer Nature