Symbolic regression and differentiable fits in beyond the standard model physics.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 384:2317 (2026) 20240593

Authors:

Shehu AbdusSalam, Steven Abel, Deaglan Bartlett, Miguel Crispim Romao

Abstract:

We demonstrate the efficacy of symbolic regression (SR) to probe models of particle physics Beyond the Standard Model (BSM), by considering the so-called Constrained Minimal Supersymmetric Standard Model (CMSSM). Like many incarnations of BSM physics this model has a number (four) of arbitrary parameters, which determine the experimental signals, and cosmological observables such as the dark matter relic density. We show that analysis of the phenomenology can be greatly accelerated by using symbolic expressions derived for the observables in terms of the input parameters. Here we focus on the Higgs mass, the cold dark matter relic density and the contribution to the anomalous magnetic moment of the muon. We find that SR can produce remarkably accurate expressions. Using them we make global fits to derive the posterior probability densities of the CMSSM input parameters which are in good agreement with those performed using conventional methods. Moreover, we demonstrate a major advantage of SR, which is the ability to make fits using differentiable methods rather than sampling methods. We also compare the method with neural network (NN) regression. SR produces more globally robust results, while NNs require data that is focused on the promising regions in order to be equally performant. This article is part of the discussion meeting issue 'Symbolic regression in the physical sciences'.

Clumps in High-redshift Galaxies: Mass Scaling and Radial Trends from JADES

The Astrophysical Journal American Astronomical Society 1000:2 (2026) 303

Authors:

Yongda Zhu, Marcia J Rieke, Zhiyuan Ji, Andrew J Bunker, Courtney Carreira, A Lola Danhaive, Qiao Duan, Eiichi Egami, Daniel J Eisenstein, Kevin Hainline, Benjamin D Johnson, Zheng Ma, Dávid Puskás, George H Rieke, Pierluigi Rinaldi, Brant Robertson, Sandro Tacchella, Hannah Übler, Natalia C Villanueva, Christina C Williams, Christopher NA Willmer, Zihao Wu, Junyu Zhang

Abstract:

Massive star-forming clumps are a prominent feature of high-redshift galaxies and are thought to trace gravitational fragmentation, feedback, and bulge growth in gas-rich disks. We present a statistical analysis of clumps in ∼3600 galaxies spanning 2 ≲ z ≲ 8 from deep JWST/NIRCam imaging in the JADES GOODS–South field. Clumps are identified as residual features after subtracting smooth Sérsic profiles, enabling a uniform, rest-frame optical census of subgalactic structure. We characterize their physical properties, size–mass relations, and spatial distributions to constrain models of subgalactic structure formation and evolution. We find that clumps in our sample are typically low-mass (10∼7−8M⊙), actively star-forming, and show diverse gas-phase metallicity, dust attenuation, and stellar population properties. Their sizes and average pairwise separations increase with cosmic time (toward lower redshift), consistent with inside-out disk growth. The clump mass function follows a power law with slope α=−1.50−0.17+0.19 , consistent with fragmentation in turbulent disks. We find a deficit of relatively young clumps near galaxy centers and a radial transition in the size–mass relation: outer clumps exhibit steeper, near-virial slopes ( Re∝M*∼0.3 ), while inner clumps follow flatter trends ( Re∝M*∼0.2 ), consistent with structural evolution via migration or disruption. These results provide new constraints on the formation, survival, and dynamical evolution of clumps, highlighting their role in shaping galaxy morphology during the peak of cosmic star formation.

The Depletion of Collisionless Dark Matter Spikes

(2026)

Authors:

Charlie Sharpe, Yonadav Barry Ginat, Thomas FM Spieksma, Bence Kocsis

MIGHTEE: The evolving radio luminosity functions of star-forming galaxies to z ∼ 4.5 and the cosmic history of star formation

Monthly Notices of the Royal Astronomical Society Oxford University Press (OUP) (2026) stag616

Authors:

Nijin J Thykkathu, Matt J Jarvis, Imogen H Whittam, CL Hale, AM Matthews, I Heywood, Eliab Malefahlo, RG Varadaraj, N Stylianou, Chris Pearson, Nick Seymour, Mattia Vaccari

Abstract:

Abstract A key question in extragalactic astronomy is how the star-formation rate density (SFRD) evolves over cosmic time. A powerful way of addressing this question is using radio-continuum observations, where the radio waves are unaffected by dust and are able to reach sufficient resolution to resolve individual galaxies. We present an investigation of the 1.4 GHz radio luminosity functions (RLFs) of star-forming galaxies (SFGs) and Active Galactic Nuclei (AGN) using deep radio continuum observations in the COSMOS and XMM–LSS fields, covering a combined area of ∼4 deg2. These data enable the most accurate measurement of the evolution in the SFRD from mid-frequency radio continuum observations. We model the total RLF as the sum of evolving SFG and AGN components, negating the need for individual source classification. We find that the SFGs have systematically higher space densities at fixed luminosity than found in previous radio studies, but consistent with more recent studies with MeerKAT. We attribute this to the excellent low-surface brightness sensitivity of MeerKAT. We then determine the evolution of the SFRD. Adopting the far-infrared – radio correlation results in a significantly higher SFRD at z > 1, compared to combined UV and far-infrared measurements. However, using more recent relations for the correlation between star-formation rate and radio luminosity, based on full spectral energy distribution modelling, can resolve this apparent discrepancy. Thus radio observations provide a powerful method of determining the total SFRD, in the absence of dust-sensitive far-infrared data.

Diversity of SEDs among the star-forming regions in NGC 1365

Monthly Notices of the Royal Astronomical Society Oxford University Press (OUP) 547:4 (2026) stag266

Authors:

Stephen Hannon, Eva Schinnerer, Bradley C Whitmore, Hamid Hassani, Daizhong Liu, David A Thilker, Jessica Sutter, Janice C Lee, Jimena Rodriguez, Thomas G Williams, Médéric Boquien, Daniel A Dale, Erik Rosolowsky, Ralf S Klessen, Aida Wofford, Kiana F Henny, Kathryn Grasha, Rémy Indebetouw, Kathryn Kreckel

Abstract:

Abstract Studying samples of young star-forming regions allows us to statistically examine the evolution of their natal gas and dust along with the associated timescales in the volatile early stages of their lives. With the PHANGS survey data, we analyze the diversity of spectral energy distributions (SEDs) for the rich sample of massive star-forming regions found in NGC 1365. By combining unique detections across a variety of datasets from HST, JWST, and ALMA images, we produce a catalog of 85 star-forming regions located in the central starbursting region of NGC 1365. Prior to analysis, we observe clear saturation effects in our four JWST/MIRI images, and implement a saturation-correction method which allows us to recover data for 23 of 32 saturation-affected regions in these images. We then perform photometry in 13 HST & JWST images which are convolved to match the resolution of MIRI/F2100W (~64pc), allowing us to probe star clusters as well as their immediate surroundings. Upon deriving their properties from SED-fitting using CIGALE, we observe that regions selected with progressively redder wavebands are younger and generally more reddened. We also identify three SED features correlated with age: 1) sources with a positive near-infrared slope ((F300W+F360M)/(2×F200W)) are by median half the age of those with negative near-infrared slopes; turnover occurs around 6 Myr, 2) the relative strength of dust emission (F2100W/F200W) and 3) PAH emission (F335M/F300M) both show that larger such ratios correlate with younger ages. Considering our working resolution, these features are robust to the inclusion of nearby emission surrounding star clusters.