[WIP] Review readiness of ESIGMAHM and bugfix modifications

[Copilot]

Thanks for asking me to work on this. I will get started on it and keep this PR's description up to date as I form a plan and make progress.

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This section details on the original issue you should resolve

<issue_title>Review readiness of ESIGMAHM</issue_title>
<issue_description># Minutes of the meeting 02 June 2026

• We should review ESIGMAHMv1 plus the bugfix patch attached to it. We need to think about how to incorporate the modifications due to bugfix on top of ESIGMAHMv1.
• Redo the NR comparisons (42 circular + 32 eccentric) with the updated code.
• We can add a bullet in future goals regarding the comparison with SXSv3 catalog.
• All the new terms added after ESIGMAHMv1 can be published in ESIGMAHMv2 and reviewed later.
• Redo the other results used in presentation with the updated code.

Action items

• @kaushikush to
  • Continue working on review readiness presentation slides and add the updated comparisons. This includes:
    • 32 eccentric+42 circular NR comparisons.
    • mismatch vs total mass comparison.
    • improving the slides.
  • With the help of @prayush, implement the bugfixes on top of ESIGMAHMv1 code.
• @Akash-Maurya-0899 to
  • Improve and optimize the hybridization code of ESIGMAHM.
  • implement 3PN kepler equations and see how the waveform generation time affects.
  • Update the review readiness slides with model computation cost and PE runs using ESIGMAHM.
• @prayush to
  • Figure out review chairs and members to act as reviewers of ESIGMAHM.
  • Give comments/suggestions on review readiness slides.</issue_description>

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