{"id":"54c045f1-4eed-4b68-9d24-8376f2b35b65","arxiv_id":"2608.00784","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":3.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.","lead":"This physics thesis computes gravitational-wave observables, such as momentum kicks, scattering angles, waveforms, and radiated power, for black hole binaries in modified theories of gravity containing axions, dark photons, dilatons, or extra curvature terms. It collects five published papers by the author and collaborators, together with an extended introduction to modern amplitude and worldline methods.","discovery_kind":"review","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The 3PM dCS eikonal phase is not a well-defined observable without an IR-cancellation prescription; the thesis explicitly defers this, so the spin-dependent scattering angle rests on an unproven premise.","rationale":"The reader's weakest-assumption diagnosis is the same as mine: the unresolved IR divergences in the 3PM dCS eikonal phase. The strongest claim of the thesis includes this phase as one of its headline beyond-Einstein results, and the manuscript openly defers the cancellation analysis. This is an internal incompleteness rather than a disagreement with an external consensus: without a concrete IR-cancellation prescription, the eikonal phase is not uniquely defined, and the scattering angle obtained from it inherits the scheme dependence. The secondary concern about Chapter 2, that radiative power is evaluated on the uncorrected Keplerian orbit, is real but less damaging: it affects the interpretation of N(n)LO labels and should be accompanied by a power-counting justification, but the leading-order flux and many sector-by-sector corrections remain meaningful. The IR issue in Chapter 4 cannot be resolved by power-counting bookkeeping because it concerns divergences in the defining quantity itself. A concrete two-loop-cut computation would settle whether the divergence is an artifact of restricting to the conservative sector or a genuine obstruction; until then, the conditional verdict is the appropriate one, and I do not see a basis for changing it.","tokens_in":72572,"tokens_out":4932,"duration_ms":50811,"concrete_test":"Compute the 3PM dissipative/radiative contributions at linear order in spin in dCS by evaluating the two-loop cut diagrams (on-shell graviton and scalar emission) in the WQFT or KMOC formalism, and check whether the 1/epsilon^2 poles cancel when added to the conservative eikonal phase. If they cancel, the observable is restored; if they persist, or require a theory-dependent subtraction, the phase quoted in Ch. 4 must be revised or explicitly labeled with the chosen subtraction scheme.","verdict_should_be":"UNCHANGED","load_bearing_attack":"Chapter 4's central result is the linear-in-spin eikonal phase at 3PM in dynamical Chern-Simons (dCS) gravity, and the thesis itself states that 'in our computation of the eikonal phase in dCS theory, we find that the IR divergences cannot be removed by considering only the conservative sector,' with the systematic treatment 'left as an important direction for future work' (Ch. 1, p. 11; Ch. 4, Secs. 4.1 and 4.5). This is not a peripheral technicality: the eikonal phase is the generating quantity from which the spin-dependent impulse and scattering angle are extracted. In the GR case the Magnus/Murua weights cancel the leading 1/epsilon^2 pole of the master integral (Fig. 1.3), but no analogous cancellation is demonstrated in dCS. As presented, the phase, and every observable derived from it, is scheme-dependent. The manuscript's own limitation statement therefore blocks the claim that this result is a faithful, benchmark-ready observable; if the cancellation prescription is theory-specific, the result cannot be used without first specifying that input.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"This thesis develops quantum-field-theoretic tools for classical two-body gravitational dynamics beyond General Relativity and applies them to five settings: PN conservative and radiative dynamics of binaries in axion-like-particle and dark-photon environments (Chapter 2); impulse and waveforms in scalar-tensor gravity from worldline QFT (Chapter 3); a linear-in-spin eikonal phase at 3PM in dynamical Chern-Simons gravity (Chapter 4); IR-subtracted conservative potential and scattering angle in Einstein-Maxwell-dilaton theory (Chapter 5); and phase-dressed celestial eikonal amplitudes in quadratic gravity (Chapter 6). The exposition is unusually complete: Feynman rules, PN/PM power counting, master integral evaluations, and appendices are provided, and several internal consistency checks are reported, including smooth massless limits (e.g., Eqs. (2.51) and (2.170)) and the LO gravitational quadrupole formula reproducing the standard 32G/5 mu^2 r^4 Omega^6 result. The manuscript is presented as a PhD thesis and is largely based on five published co-authored papers.","tokens_in":72594,"tokens_out":6366,"duration_ms":58363,"significance":"If the results are correct, the thesis supplies analytic benchmarks for beyond-GR binary dynamics: the first N(4)LO scalar radiation in the axion/dark-photon model, 2PM scalar-tensor observables, a 3PM linear-in-spin dCS eikonal phase, an IR-finite EMD potential and scattering angle, and a non-vanishing s/u-channel contribution to the celestial eikonal in quadratic gravity. Credit is due for the unusually detailed derivations, the explicit master-integral technology, and the multiple internal consistency checks. The central caveat is that the dCS eikonal phase, the main result of Chapter 4, is not presented as a well-defined observable because its IR cancellation is explicitly deferred; until that is supplied or the corresponding claims are qualified, the benchmark status of the Chapter 4 observables is not established.","major_comments":[{"comment":"The thesis's own statements block the central claim of Chapter 4. It states that \"in our computation of the eikonal phase in dCS theory, we find that the IR divergences cannot be removed by considering only the conservative sector\" and that a systematic treatment is \"left as an important direction for future work.\" Since the eikonal phase is the generating quantity for the spin-dependent impulse and scattering angle, the 3PM linear-in-spin phase derived in Sec. 4.4 is scheme-dependent as presented; the GR cancellation of the leading 1/epsilon^2 pole via Magnus/Murua weights (Eqs. (1.33)-(1.35)) has no demonstrated analogue here. The chapter should either supply a concrete IR-cancellation prescription and show scheme independence, or explicitly present the eikonal phase and its derived observables as provisional and remove the corresponding benchmark claims.","section":"Ch. 4, Secs. 4.1 and 4.5; Ch. 1, p. 11 (after Fig. 1.3)"},{"comment":"The claimed N(4)LO precision of the scalar radiation result (Eq. (2.114)) is not yet established because the source multipoles in Eq. (2.110) are evaluated on the uncorrected Keplerian/circular orbit. Sec. 2.4.6 states that corrections to the orbit from the higher-order conservative potential are neglected, but no power-counting argument is given to show that these orbit corrections enter only beyond N(4)LO. The authors should either include the orbit corrections at the claimed orders or demonstrate by power counting that they are subleading; otherwise the N(4)LO label is unsupported.","section":"Ch. 2, Secs. 2.4.6 and 2.5.2"}],"minor_comments":[{"comment":"The general Feynman-integral definition is numbered (2.138) inside the Introduction, and related display equations in the same section are also numbered in the 2.x series; the equation numbering should be made consistent with the chapter structure.","section":"Ch. 1, Sec. 1.4"},{"comment":"The displayed gravitational radiation power formula is extremely long and difficult to verify as typeset; it should be split into a compact leading term plus a table of coefficient functions, with the bracketing carefully checked.","section":"Ch. 2, Eq. (2.164)"},{"comment":"The quantity T(\\dot{\\bar\\phi}) is introduced in Eq. (2.99) and then re-expressed in Eq. (2.101), but the relationship between the two forms is not explicitly stated; adding one line of explanation would improve readability.","section":"Ch. 2, Sec. 2.5.2"},{"comment":"The front matter contains non-standard material (an AI-generated image caption and an epigraph) that is unrelated to the scientific content; for archival purposes this should be removed or clearly separated from the technical presentation.","section":"Front matter / acknowledgments"}],"recommendation":"major_revision","confidential_remarks":"The thesis is essentially a compilation of five published JHEP/SciPost papers by the author with collaborators. For the venue, the editor may want to verify the amount of new synthesis or original framing beyond the published versions, since the technical chapters are described as 'based on' or as reproducing those papers. I do not treat this as a scientific defect, but it affects novelty disclosure."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Short version: this is a doctoral thesis — five already-published papers reproduced as chapters, exactly as the Author's Declaration says — and it should be judged as one. As a thesis it adds no new result beyond those papers; the useful product is a single reference collection of beyond-GR two-body observables, with the technical detail the journal versions had to compress.\n\nWhat it does well is real. Chapter 2 computes scalar radiation up to N(4)LO in an axion/dark-photon environment; Chapter 3 gives the 2PM scalar-tensor impulse and waveform with smooth massless limits; Chapter 4 pushes the spinning eikonal phase to 3PM at linear order in spin in dCS; Chapter 5 extracts an IR-subtracted EMD potential and scattering angle; Chapter 6 builds the celestial eikonal amplitude in quadratic gravity. The exposition is unusually complete — Feynman rules, PN/PM power counting, master integrals, appendices — and the consistency checks are honest: the LO quadrupole reproduces the standard 32G/5 mu-squared r^4 Omega^6, the massless limits are smooth, and the Chapter 5 results agree with existing literature where they overlap. Those checks pass, and they earn trust.\n\nSoft spots, in proportion. Largest: Chapter 4's headline result is not currently a well-defined observable. The thesis states flat out that the IR divergences in the dCS eikonal phase cannot be removed within the conservative sector, and defers the systematic treatment to future work. In GR, Magnus/Murua weights cancel the 1/epsilon^2 pole; no analogue is shown for dCS. Since the eikonal phase generates the spin-dependent impulse and scattering angle, everything derived from it is scheme-dependent until a cancellation prescription is supplied. The manuscript asserts this limitation itself, and it blocks using that chapter's numbers as benchmarks.\n\nSecond, smaller: the ga-gamma-gamma contributions to scalar and gravitational radiation vanish for the planar orbits actually computed, while the summary claims 'detectable power radiation' for three-dimensional orbits. That is an extrapolation, not a computed result. Soften the claim or do the 3D computation.\n\nThird, minor: Chapter 2 evaluates radiative power on the uncorrected Keplerian orbit; the thesis says so explicitly, so the claimed N(4)LO precision is conditional on orbit corrections not entering at those orders.\n\nOn self-citation: it is exhaustive by construction — the chapters are the papers. Not a flaw for a thesis, but the 'first calculation' claims are self-assessed and would want external confirmation.\n\nWho gets value: practitioners of amplitude and worldline methods for beyond-GR dynamics, and celestial-holography people wanting quadratic-gravity eikonal data. I would cite the constituent papers, not the thesis artifact.\n\nRecommendation: send it to a serious referee. The computations are documented well enough to check, the consistency checks are credible, and the thesis is honest about what it has not done. Expect a demanding report on Chapter 4 — either supply the IR prescription or demote the headline claims to scheme-dependent — and a light touch on the rest.","headline":"A technically careful PhD thesis that compiles five published papers; the computations check out, but the headline dCS spin-eikonal result is blocked by an unresolved IR issue the thesis itself admits.","tokens_in":73345,"tokens_out":5537,"would_cite":false,"duration_ms":45929,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"This thesis computes classical black-hole scattering observables in four effective theories of gravity beyond General Relativity, using worldline and amplitude methods to produce analytic results for potentials, impulses, waveforms…","keywords":["black hole scattering","effective field theory","worldline quantum field theory","post-Minkowskian expansion","eikonal phase","celestial amplitudes","dynamical Chern-Simons gravity"],"falsifier":"Perform the 3PM dynamical Chern-Simons computation including the radiation-reaction or dissipative sector and check whether the 1/$epsilon^{2}$ infrared poles of the eikonal phase cancel. If no consistent subtraction scheme exists, the spin-dependent scattering angle quoted in Chapter 4 cannot be regarded as a well-defined classical observable.","tokens_in":72169,"feed_emoji":"🕳️","tokens_out":5699,"duration_ms":55380,"temperature":0.7,"pith_summary":"This thesis argues that modern quantum-field-theoretic methods—worldline effective field theory, worldline quantum field theory, and on-shell amplitude expansions—can be turned into a reliable analytic toolkit for classical two-body gravity beyond General Relativity. It demonstrates this through explicit computations: conservative potentials and scalar radiation for binaries in axion and dark-photon environments, 2PM impulses and waveforms in scalar-tensor gravity, a 3PM spin-dependent eikonal phase in dynamical Chern-Simons gravity, an infrared-subtracted potential and scattering angle in Einstein-Maxwell-dilaton theory, and phase-dressed celestial eikonal amplitudes in quadratic gravity. If these calculations are right, they supply analytic benchmarks for gravitational-wave searches and for flat-space celestial holography in modified gravity.","feed_headline":"Beyond-Einstein black-hole scattering, computed analytically","feed_subtitle":"Worldline and amplitude tools yield potentials, impulses, waveforms, and celestial data for modified gravity","key_machinery":"The load-bearing machinery is the worldline approach to classical scattering, in which compact objects are point particles and the gravitational and matter fields are integrated out: in the inspiral regime via non-relativistic general relativity's split into potential and radiation modes, and in the scattering regime via worldline quantum field theory, where worldline fluctuations are themselves quantized. The central generating object is the eikonal phase, understood as the classical limit of the logarithm of the S-matrix and computed with Magnus/Murua causal weights that cancel spurious infrared poles; impulse, spin kick, and scattering angle follow from Poisson-bracket expansions built on it. Multi-loop master integrals are evaluated through integration-by-parts reduction adapted to exponential Fourier kernels and through canonical dlog-form differential equations, and celestial amplitudes are obtained by Mellin transforming the eikonal-resummed amplitude.","core_discovery":"The central claim is a set of concrete classical observables computed to stated orders: the 1PN–2.5PN conservative potentials and scalar radiation up to N(4)LO for binaries in an axion and dark-photon environment; the 2PM impulse and waveforms in scalar-tensor theory with smooth massive limits; the linear-in-spin eikonal phase at 3PM in dynamical Chern-Simons gravity; the infrared-subtracted conservative potential and scattering angle in Einstein-Maxwell-dilaton theory; and the phase-dressed celestial eikonal amplitude in quadratic gravity, where, unlike in Einstein gravity, the u- and s-channel contributions do not cancel. The thesis presents these as faithful analytic results that can serve as benchmarks, and it reports a notable structural finding: the axion-photon coupling contributes to radiation only for orbits that are genuinely three-dimensional, vanishing for planar orbits in the non-spinning case.","pith_inferences":["The vanishing of the axion-photon radiation for planar orbits suggests that the most promising gravitational-wave probes of axionic dark matter are eccentric or inclined binaries, or spinning binaries with spins precessing out of the orbital plane; the thesis notes the spinning case but does not frame it as a search strategy.","If the infrared cancellation in dynamical Chern-Simons gravity requires the dissipative sector, then the conservative eikonal phase is not a standalone observable, and the 3PM spin-dependent scattering angle would need to be redefined in a way that parallels the Magnus prescription already needed in general relativity.","The exponential-Fourier integration-by-parts method used for waveform master integrals could be applied to other observables with oscillatory factors, such as memory effects or radiation reaction, where standard rational-function IBP packages fail.","The non-vanishing u/s-channel contributions in quadratic gravity suggest a richer celestial holographic dictionary for higher-derivative gravity; a direct test would be to compute the shadow OPE coefficients from the momentum-space Born amplitude rather than from the eikonal resummation."],"forward_implications":["The 1PN–2.5PN potentials and scalar radiation up to N(4)LO give concrete templates for scalar and vector dark-matter effects on binary inspiral.","The 2PM scalar-tensor impulse and waveform have smooth massless scalar limits, so they can serve as benchmark data for gravitational-wave waveform models beyond general relativity.","The 3PM linear-in-spin eikonal phase in dynamical Chern-Simons gravity yields a spin-dependent scattering angle that, once the infrared issue is resolved, predicts parity-violating deviations in high-energy black-hole scattering.","The Einstein-Maxwell-dilaton conservative potential and scattering angle reduce smoothly to the general-relativity and charge-free limits, providing amplitude-based benchmarks for charged compact-object dynamics.","In quadratic gravity the u- and s-channel contributions to the phase-dressed celestial eikonal do not cancel, changing the conformal data and OPE of the would-be celestial CFT relative to Einstein gravity."],"supporting_citations":[{"why":"Base paper for the dark-photon/axion chapter; supplies the WEFT setup and most of the binary-inspiral results.","marker":"[60]"},{"why":"Source of the non-relativistic general relativity worldline effective field theory and the PN power-counting used throughout the inspiral chapter.","marker":"[99]"},{"why":"Defines worldline quantum field theory, the framework for the scalar-tensor and dynamical Chern-Simons scattering computations.","marker":"[31]"},{"why":"Companion WQFT reference establishing the tree-level worldline diagram approach to classical observables.","marker":"[32]"},{"why":"Provides the Magnus/Murua causal weighting that cancels the spurious 1/epsilon^2 IR pole in the 3PM GR eikonal; the dCS chapter builds on and tests this.","marker":"[33]"},{"why":"Gives the leading-order scalar radiation formula in WEFT that Chapter 2 extends to N(4)LO.","marker":"[125]"},{"why":"Supplies the Kaluza-Klein parametrisation of the metric used to set up non-relativistic graviton fields and propagators.","marker":"[186]"},{"why":"Conjectures the canonical epsilon-factorized differential equations used in the multi-loop master-integral evaluations.","marker":"[54]"}],"fun_headline_variants":["Black-hole scattering in modified gravity: analytic results","Axion radiation vanishes for planar black-hole orbits","Quadratic gravity celestial amplitudes do not cancel s and u","Beyond-Einstein black-hole observables from worldlines and amplitudes","New analytic benchmarks for black-hole dynamics in modified gravity"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The 3PM dynamical Chern-Simons eikonal phase rests on an unproven assumption that its infrared divergences can be cancelled by some prescription; the thesis states that the conservative sector alone cannot remove them and leaves the systematic treatment to future work.","fun_headline_variants_meta":{"raw":{"variants":["Black-hole scattering in modified gravity: analytic results","Axion radiation vanishes for planar black-hole orbits","Quadratic gravity celestial amplitudes do not cancel s and u","Beyond-Einstein black-hole observables from worldlines and amplitudes","New analytic benchmarks for black-hole dynamics in modified gravity"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.00076,"raw_usage":{"total_tokens":3339,"prompt_tokens":871,"completion_tokens":2468,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":487,"completion_tokens_details":{"reasoning_tokens":2390}},"tokens_in":487,"tokens_out":2468,"duration_ms":23214,"temperature":1.0,"reasoning_tokens":2390,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-15T15:18:29.096075+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Perform the 3PM dynamical Chern-Simons computation including the radiation-reaction or dissipative sector and check whether the 1/$epsilon^{2}$ infrared poles of the eikonal phase cancel. If no consistent subtraction scheme exists, the spin-dependent scattering angle quoted in Chapter 4 cannot be regarded as a well-defined classical observable.","supporting_citations":[],"review_version":1}