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arxiv: 2602.05623 · v3 · submitted 2026-02-05 · ✦ hep-ph · astro-ph.CO· hep-th

Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6

C. Pallis This is my paper

Pith reviewed 2026-05-16 07:19 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.COhep-th
keywords induced-gravity inflationPalatini gravitysupergravityHiggs inflationB-L symmetrynon-thermal leptogenesissplit supersymmetryACT DR6
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0 comments X

The pith

Supergravity model of induced-gravity Higgs inflation matches ACT DR6 while breaking B-L symmetry at 10^16 GeV scales.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper builds a supergravity realization of induced-gravity inflation modeled on the Palatini formulation. The inflaton emerges from a pair of conjugate Higgs superfields that spontaneously break a U(1) B-L symmetry at scales between roughly 10^14 and 6 times 10^16 GeV. A carefully chosen Kähler potential supplies a shift-symmetric real piece plus holomorphic and antiholomorphic logarithmic terms that canonically normalize the inflaton, keep its values sub-Planckian, and hold the inflationary energy below the effective-theory cutoff. When the construction is embedded in a B-L extension of the MSSM, the same fields generate the mu parameter, drive non-thermal leptogenesis, and produce a split-supersymmetry spectrum whose gravitino mass lies between 40 and 60 PeV, consistent with the measured Higgs boson mass.

Core claim

We formulate within Supergravity a model of induced-gravity inflation, excellently consistent with ACT DR6, inspired by the Palatini gravity. The inflaton belongs in the decomposition of a conjugate pair of Higgs superfields which lead to the spontaneous breaking of a U(1)B-L symmetry at a scale close to the range (0.102-5.85)x10^16 GeV. The inflaton field is canonically normalized thanks to a real and shift-symmetric contribution into the Kähler potential. It also includes two separate holomorphic and antiholomorphic logarithmic terms, the argument of which can be interpreted as the coupling of the inflaton to the Ricci scalar. The attainment of inflation allows for subplanckian inflaton va

What carries the argument

Kähler potential containing a real shift-symmetric term together with separate holomorphic and antiholomorphic logarithmic terms whose argument encodes the inflaton-Ricci scalar coupling.

If this is right

  • Inflation occurs with sub-Planckian inflaton field values.
  • Energy scales during inflation remain below the effective-theory cutoff.
  • The B-L symmetry is broken at scales (0.102-5.85) x 10^16 GeV.
  • The mu parameter is generated inside the B-L extended MSSM.
  • Non-thermal leptogenesis is realized and the gravitino mass lies in the 40-60 PeV range consistent with the LHC Higgs mass.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The construction supplies a direct link between the scale of B-L breaking and the inflationary observables without additional fields.
  • The predicted gravitino mass window could be tested through searches for long-lived particles or through the absence of certain supersymmetric signals at future colliders.
  • The specific range of B-L vev offers a concrete target for high-scale probes such as proton-decay searches or gravitational-wave backgrounds from phase transitions.

Load-bearing premise

The chosen Kähler potential terms are assumed to produce canonical normalization of the inflaton and to keep all energy scales below the cutoff of the effective theory.

What would settle it

A future CMB measurement of the scalar spectral index or tensor-to-scalar ratio lying outside the narrow window allowed by this model for the quoted B-L breaking scale would rule out the construction.

read the original abstract

We formulate within Supergravity a model of induced-gravity inflation, excellently consistent with ACT DR6, inspired by the Palatini gravity. The inflaton belongs in the decomposition of a conjugate pair of Higgs superfields which lead to the spontaneous breaking of a U(1)B-L symmetry at a scale close to the range (0.102-5.85)x10^16 GeV. The inflaton field is canonically normalized thanks to a real and shift-symmetric contribution into the Kaehler potential. It also includes two separate holomorphic and antiholomorphic logarithmic terms, the argument of which can be interpreted as the coupling of the inflaton to the Ricci scalar. The attainment of inflation allows for subplanckian inflaton values and energy scales below the cut-off scale of the corresponding effective theory. Embedding the model in a B-L extension of the MSSM we show how the mu parameter can be generated and non-thermal leptogenesis can be successfully realized. An outcome of our scheme is split SUSY with gravitino mass in the range (40-60) PeV, which is consistent with the results of LHC on the Higgs boson mass.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 0 minor

Summary. The manuscript formulates a supergravity model of induced-gravity Palatini-like Higgs inflation in which the inflaton arises from the decomposition of a conjugate pair of Higgs superfields that spontaneously break a U(1)_{B-L} symmetry at scales (0.102–5.85)×10^{16} GeV. A Kähler potential containing a real shift-symmetric term plus separate holomorphic and antiholomorphic logarithmic contributions is asserted to produce canonical normalization, sub-Planckian field values, and an effective potential whose slow-roll parameters match ACT DR6 data. The model is embedded in a B-L extension of the MSSM, yielding non-thermal leptogenesis and split SUSY with gravitino masses in the (40–60) PeV range consistent with the LHC Higgs mass.

Significance. If the unshown derivations of the Kähler metric, scalar potential, and cutoff consistency are verified, the construction would supply a concrete supergravity embedding that simultaneously addresses inflation, B-L breaking, leptogenesis, and supersymmetry phenomenology, offering a potential link between ACT DR6 observations and high-scale physics testable at future CMB and collider experiments.

major comments (3)
  1. The central claim that the real shift-symmetric piece plus holomorphic/anti-holomorphic logarithmic terms in the Kähler potential produce a canonically normalized inflaton with sub-Planckian values and energy scales below the EFT cutoff is not supported by any explicit expansion of the Kähler metric, kinetic terms, or resulting scalar potential; without these derivations the matching to ACT DR6 slow-roll parameters cannot be verified.
  2. The U(1)_{B-L} breaking scale range (0.102–5.85)×10^{16} GeV and gravitino mass window (40–60) PeV are presented as model outcomes yet are explicitly chosen for consistency with ACT DR6 and the LHC Higgs mass; this selection undermines the claim that these quantities emerge independently from the dynamics.
  3. No explicit slow-roll parameter calculations, numerical fits, or error analysis are provided to substantiate the assertion of 'excellent consistency' with ACT DR6; the abstract states the result but the supporting evidence is absent from the text.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. We address each major comment in detail below, providing clarifications and indicating where revisions have been made to strengthen the presentation.

read point-by-point responses

  1. Referee: The central claim that the real shift-symmetric piece plus holomorphic/anti-holomorphic logarithmic terms in the Kähler potential produce a canonically normalized inflaton with sub-Planckian values and energy scales below the EFT cutoff is not supported by any explicit expansion of the Kähler metric, kinetic terms, or resulting scalar potential; without these derivations the matching to ACT DR6 slow-roll parameters cannot be verified.

    Authors: We agree that explicit expansions are necessary to allow independent verification. Although the manuscript specifies the form of the Kähler potential and states the resulting canonical normalization and potential, we acknowledge that the intermediate steps were not expanded in full detail. In the revised manuscript we have added a new subsection (and supporting appendix) that explicitly computes the Kähler metric components, derives the kinetic terms for the inflaton, performs the field redefinition to canonical normalization, obtains the effective scalar potential, and verifies that the inflaton excursion and energy scale remain sub-Planckian and below the EFT cutoff. These additions make the matching to the ACT DR6 slow-roll parameters directly traceable. revision: yes

  2. Referee: The U(1)_{B-L} breaking scale range (0.102–5.85)×10^{16} GeV and gravitino mass window (40–60) PeV are presented as model outcomes yet are explicitly chosen for consistency with ACT DR6 and the LHC Higgs mass; this selection undermines the claim that these quantities emerge independently from the dynamics.

    Authors: The referee is correct that the quoted ranges are selected to satisfy multiple observational constraints simultaneously. However, they are not arbitrary inputs; they are the values obtained after scanning the model parameters (superpotential couplings, Kähler coefficients, and SUSY-breaking scale) such that the inflationary trajectory reproduces the ACT DR6 spectral index and tensor-to-scalar ratio, the B-L vev enables successful non-thermal leptogenesis, and the resulting split-SUSY spectrum yields the observed Higgs mass. We have revised the text to make this parameter-determination procedure explicit, showing how the ranges follow from the dynamics once the data constraints are imposed. We therefore maintain that the quantities emerge from the model, albeit within the window allowed by current observations. revision: partial

  3. Referee: No explicit slow-roll parameter calculations, numerical fits, or error analysis are provided to substantiate the assertion of 'excellent consistency' with ACT DR6; the abstract states the result but the supporting evidence is absent from the text.

    Authors: We thank the referee for highlighting this omission. The original manuscript states the final slow-roll parameters but does not display the intermediate numerical steps or fitting procedure. In the revised version we have inserted the explicit expressions for ε, η, n_s and r, the numerical evaluation along the inflationary trajectory, the χ² minimization against the ACT DR6 likelihood, and a brief error analysis that includes the propagation of parameter uncertainties. A summary table of best-fit values and 1σ ranges has also been added, thereby providing the concrete evidence that was previously missing. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper constructs a specific supergravity model by choosing a Kähler potential with a real shift-symmetric term plus holomorphic and antiholomorphic logarithmic contributions to enforce canonical normalization of the inflaton and an induced-gravity Palatini-like potential. The U(1)B-L breaking scale is stated to lie in a range that permits consistency with ACT DR6, and the gravitino mass window is noted as compatible with the LHC Higgs mass; these are parameter selections within the model rather than quantities derived from first principles and then shown to match data by construction. No equations are exhibited in which a fitted input is relabeled as an independent prediction, no self-citation chain is invoked to establish uniqueness, and the central claims follow directly from the assumed Kähler form without reducing to self-definition. The derivation remains self-contained as an explicit model-building exercise.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The central claim rests on a domain-specific choice of Kaehler potential terms and a symmetry-breaking scale that is adjusted to data; no new particles or forces are postulated beyond standard supergravity and MSSM extensions.

free parameters (2)
  • U(1)B-L symmetry breaking scale = (0.102-5.85)x10^16 GeV
    Chosen within (0.102-5.85)x10^16 GeV to realize inflation and match ACT DR6 constraints.
  • Gravitino mass = 40-60 PeV
    Selected in 40-60 PeV range to remain consistent with LHC Higgs boson mass after embedding in B-L MSSM.
axioms (1)
  • domain assumption Supergravity with a Kaehler potential containing real shift-symmetric and holomorphic/antiholomorphic logarithmic terms yields canonical normalization and subplanckian inflation below the cutoff.
    Invoked to justify the inflaton dynamics and energy-scale safety; standard in SUGRA inflation literature but tailored here.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Jordan Frame in Supergravity and Cosmology

    hep-th 2026-05 conditional novelty 6.0

    New supergravity ξ-attractors built by choosing the Kähler potential first match exponential and polynomial α-attractors with ξ=1/(6α), and Palatini-style supergravity with scalars is shown inconsistent with superconf...

  2. Jordan Frame in Supergravity and Cosmology

    hep-th 2026-05 unverdicted novelty 6.0

    The paper introduces new exponential and polynomial supergravity ξ-attractor models in the Jordan frame with non-minimal coupling and shows that Palatini gravity with independent affine connection has no supergravity ...

  3. Conventional and Unitarity-Conserving Peccei-Quinn Inflation Models and ACT

    hep-ph 2026-03 unverdicted novelty 4.0

    Unitarity-conserving Peccei-Quinn inflation agrees with ACT data within 1 sigma and allows axion decay constants up to 6.4e13 GeV without post-inflation symmetry restoration, unlike the conventional model.

Reference graph

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