{
  "abstract": "We investigate the bending of massless fields by a massive object in the presence of a curvature-scalar $\\sqrt{-g}ξR ϕ^2$ non-minimal coupling up to one loop, using the perturbative quantum gravity computations. It is well known that without such coupling a self interacting scalar field theory cannot be renormalised in the presence of gravity. The massive object is modelled by a massive scalar $ϕ$, and it is assumed to be non-relativistic, e.g., a star. We compute the 2-2 scattering of massless scalar and photons off this object via graviton exchanges. Assuming both $ξ$ and the bending angle to be small, we use the eikonal approximation to compute the angle up to ${\\cal O}(ξG^2)$. At tree level $({\\cal O}(ξG))$ we find no bending, and hence the ${\\cal O}(ξG^2)$ result happens to be leading in this case. The non-minimal vertices are qualitatively different from that of the standard minimal ones, e.g. $ \\sqrt{G} h_{μν} T^{μν}$, as the former contains explicit momenta of the gravitons instead of the scalar, complementing the second. The bending angle is found to behave like $\\sim b^{-7}$, where $b$ is the impact parameter. We have emphasised the qualitative differences of our results from that of the well studied minimal case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.16406",
  "author_total": 3,
  "authors": [
    {
      "name": "Ayan Kumar Naskar"
    },
    {
      "name": "Avijit Sen Majumder"
    },
    {
      "name": "Sourav Bhattacharya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7s3778pm2mc7p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.16406",
  "fulltext_url": null,
  "id": "7s3778pm2mc7p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.16406",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7164911418",
  "pdf_url": "https://arxiv.org/pdf/2606.16406",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7s3778pm2mc7p.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2606.16406",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.16406"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Effect of $ξRϕ^2$ non-minimal coupling on gravitational light bending",
  "title_text": "Effect of ξRϕ^2 non-minimal coupling on gravitational light bending",
  "type": "preprint",
  "updated_at": "2026-11-08T18:20:55Z",
  "url": "https://research.draconitic.com/paper/7s3778pm2mc7p",
  "venue": "arXiv",
  "versions": []
}