Pith Number

pith:UXM6FI6F

pith:2026:UXM6FI6FPD3YG6JU3H6Y32IDVR

not attested not anchored not stored refs resolved

Light states in real 3HDMs with spontaneous CP violation and softly broken symmetries

Carlos Mir\'o, Daniel Queiroz, Jos\'e M. Camacho, Miguel Nebot, Tom\'as Tobarra

In three-Higgs-doublet models with spontaneous CP violation, new scalar masses stay near the electroweak scale once quartic couplings obey perturbativity.

arxiv:2605.15270 v1 · 2026-05-14 · hep-ph

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\usepackage{pith}
\pithnumber{UXM6FI6FPD3YG6JU3H6Y32IDVR}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

new scalars cannot have masses much larger than the electroweak scale once perturbativity requirements are imposed on the quartic couplings of the Higgs potential and despite the presence of free quadratic (mass) terms that can be arbitrarily large.

C2weakest assumption

The quartic part of the potential is shaped by some discrete symmetry (an additional simplifying assumption stated in the abstract).

C3one line summary

In real 3HDMs with spontaneous CP violation and discrete symmetry on quartics, perturbativity bounds keep new scalars near the electroweak scale despite large quadratic terms.

References

54 extracted · 54 resolved · 14 Pith anchors

[1] With the vevs in Eq

[2] +λ 4(c2[12]v2 2 +c 2[13]v2 3) , ∂v2V =µ 2 2v2 + µ2 12 2 c[12]v1 + µ2 23 2 c[23]v3 (22) + v2 2 λ1v2 +λ 2(2v2 2 −v 2 1 −v 2

[3] +λ 4(c2[12]v2 1 +c 2[23]v2 3) , ∂v3V =µ 2 3v3 + µ2 13 2 c[13]v1 + µ2 23 2 c[23]v2 (23) + v3 2 λ1v2 +λ 2(2v2 3 −v 2 1 −v 2

[4] (3), it is more convenient to use in Eq

[5] (21)-(23), one can also expressµ 2 1,µ 2 2 andµ 2 3 in terms of quartic parameters andµ 2 23

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:49.816893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d9e2a3c578f7837934d9fd8de903ac6eb1a2bf8fecd1aaaca7b3c85d4fdd04

Aliases

arxiv: 2605.15270 · arxiv_version: 2605.15270v1 · doi: 10.48550/arxiv.2605.15270 · pith_short_12: UXM6FI6FPD3Y · pith_short_16: UXM6FI6FPD3YG6JU · pith_short_8: UXM6FI6F

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/UXM6FI6FPD3YG6JU3H6Y32IDVR \
  | 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: a5d9e2a3c578f7837934d9fd8de903ac6eb1a2bf8fecd1aaaca7b3c85d4fdd04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba575609743d4e05f9442fb7b18e84428c13518d4cfa03f613cd5ed7d9f67f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-14T18:00:02Z",
    "title_canon_sha256": "3ef6f2e3e09789080872212f1f1a4cf3e1bc2c056fe2ff19b68f05b41423e827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15270",
    "kind": "arxiv",
    "version": 1
  }
}