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One-loop Effective Action up to Dimension Eight: Integrating out Heavy Fermion(s)

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arxiv 2308.03849 v1 pith:WMDFW7J4 submitted 2023-08-07 hep-ph hep-th

Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar This is my paper · ORCID
classification hep-phhep-th
keywords actioneffectivefermionheavyoperatordimensioneightelliptic
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the universal one-loop effective action up to dimension eight after integrating out heavy fermion(s) using the Heat-Kernel method. We have discussed how the Dirac operator being a weak elliptic operator, the fermionic operator still can be written in the form of a strong elliptic one such that the Heat-Kernel coefficients can be used to compute the fermionic effective action. This action captures the footprint of both the CP conserving as well as violating UV interactions. As it does not rely on the specific forms of either UV or low energy theories, can be applicable for a very generic action. Our result encapsulates the effects of heavy fermion loops only.

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Cited by 4 Pith papers

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

  1. On the Robustness of type-II Seesaw Collider Searches

    hep-ph 2026-03 conditional novelty 6.0 of 10

    Adding a single effective operator that makes the doubly charged Higgs decay into two leptons and a photon weakens current ATLAS limits from ~1.1 TeV to ~0.7 TeV, but requiring a hard photon in the final state restore...

  2. Electroweak Scalar Effects Beyond Dimension-6 in SMEFT

    hep-ph 2025-01 conditional novelty 6.0 of 10

    One-loop dimension-eight SMEFT matching is derived for complex triplet and two-Higgs-doublet scalar extensions, and the dimension-eight terms are shown to matter for GigaZ electroweak precision projections.

  3. Gauge Choices, Infrared Pitfalls, and Thermal Effects in Effective Potentials

    hep-th 2025-07 conditional novelty 5.0 of 10

    Including a multiplicative anomaly or using the Heat Kernel method makes the one-loop effective potential in the Fermi gauge independent of the gauge parameter and improves its infrared behaviour, also at finite temperature.

  4. Fingerprinting New Physics with Effective Field Theories

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A thesis compiling published SMEFT global fits, automated UV-model constraints, and ML-based unbinned observables, with projections for HL-LHC, FCC-ee, and CEPC.

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