Pith Number

pith:FS6KURZ7

pith:2025:FS6KURZ76RK7JYEHHQOUVXRSO2

not attested not anchored not stored refs resolved

Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop

Ankit Mishra, Arpan Bhattacharyya, Saptaswa Ghosh, Sounak Pal

One-loop soft amplitudes extract the conservative two-body dynamics of charged black holes in EMD theory after IR subtraction.

arxiv:2510.07390 v3 · 2025-10-08 · hep-th · gr-qc · hep-ph

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We show explicitly that, as in GR, the relevant soft amplitudes are infrared (IR) finite once the long-range interactions are consistently treated via Lippmann-Schwinger equation and the associated IR subtraction. The scattering angle is then obtained from the eikonal exponentiation of the soft amplitude.

C2weakest assumption

That the soft expansion of one-loop amplitudes in EMD theory fully captures the classical conservative two-body dynamics at the order considered, without contamination from radiation or higher-loop effects that would require additional subtractions.

C3one line summary

Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.

References

147 extracted · 147 resolved · 46 Pith anchors

[1] P¨ urrer and C.-J 2020

[2] Weinberg,Photons and Gravitons in Perturbation Theory: Derivation of Maxwell’s and Einstein’s Equations, Phys 1965

[3] T. Damour and G. Esposito-Farese,Tensor multiscalar theories of gravitation, Class. Quant. Grav.9(1992) 2093–2176 1992

[4] Tensor-multi-scalar theories: relativistic stars and 3+1 decomposition 2015 · arXiv:1505.07462

[5] Sch¨ on and D 2022

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:45.572218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbcaa473ff455f4e0873c1d4ade3276b9fae58e825c16782f597ef60e34a74a

Aliases

arxiv: 2510.07390 · arxiv_version: 2510.07390v3 · doi: 10.48550/arxiv.2510.07390 · pith_short_12: FS6KURZ76RK7 · pith_short_16: FS6KURZ76RK7JYEH · pith_short_8: FS6KURZ7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FS6KURZ76RK7JYEHHQOUVXRSO2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2cbcaa473ff455f4e0873c1d4ade3276b9fae58e825c16782f597ef60e34a74a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b52725916d05c08889a8ad6d23f8b54978a693f61e3c58dd842738fdcd8226",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-10-08T18:00:06Z",
    "title_canon_sha256": "818daf6f350d3b5a397839aa60ce43c10caa17dce67ea17321ee903a4da94e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.07390",
    "kind": "arxiv",
    "version": 3
  }
}