pith. sign in

arxiv: 2509.24680 · v2 · submitted 2025-09-29 · ✦ hep-ph

Lepton number violating signals of a parity symmetric model at μTRISTAN

Keisuke Harigaya , Ryuichiro Kitano , Ryoto Takai This is my paper

Pith reviewed 2026-05-18 12:54 UTC · model grok-4.3

classification ✦ hep-ph
keywords lepton number violationparity symmetric modelstrong CP problemW' bosonmuon colliderneutrinoless double beta decaySU(2)_R
0
0 comments X

The pith

A 10 TeV muon collider can probe right-handed W bosons up to 16 TeV using lepton number violation.

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

This paper explores signals of lepton number violation in a model that introduces parity symmetry to solve the strong CP problem. The model includes a right-handed weak force carrier, the W' boson, and allows the neutrino sector to have small masses without suppressing lepton number violation at TeV energies. A proposed muon-antimuon collider could produce these signals through the process where two positive muons turn into a W boson and a W' boson. The authors show that with 10 TeV collision energy, the machine can reach W' masses around 10 TeV directly and up to 16 TeV indirectly. This would provide a way to test ideas connecting the strong CP problem, neutrino masses, and new physics at colliders.

Core claim

The parity solution to the strong CP problem extends the Standard Model with an SU(2)_R gauge sector that restricts Yukawa interactions. In an appealing neutrino sector structure, small neutrino masses arise naturally while lepton number symmetry is violated substantially at the TeV scale. This permits observable lepton number violating collider signals not suppressed by small neutrino masses. The process μ⁺ μ⁺ → W⁺ W'⁺ at a 10 TeV μ⁺ μ⁺ collider can probe the W' mass up to 10 TeV on-shell and 16 TeV off-shell.

What carries the argument

The W' boson of the SU(2)_R sector, which carries lepton number violating interactions at TeV scales due to the parity-symmetric model and the neutrino structure.

If this is right

  • Neutrinoless double beta decay imposes constraints on the model parameters.
  • Detection of these signals would indicate TeV-scale lepton number violation linked to the strong CP solution.
  • Off-shell W' contributions extend the searchable mass range beyond on-shell production.
  • The framework predicts distinctive signals at muon colliders that differ from standard model backgrounds.

Where Pith is reading between the lines

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

  • Similar lepton number violating processes could be studied at other future colliders to cross-check the model.
  • This setup might explain why neutrino masses are small while allowing observable effects in high-energy experiments.
  • If confirmed, it would suggest that parity symmetry plays a role in both strong CP and lepton sectors.

Load-bearing premise

The neutrino sector has a structure that naturally explains small neutrino masses while permitting substantial lepton number violation at the TeV scale.

What would settle it

A search at the μTRISTAN collider finding no events above background in the μ⁺ μ⁺ → W⁺ W'⁺ channel for W' masses below 10 TeV would rule out the predicted rates in this model.

Figures

Figures reproduced from arXiv: 2509.24680 by Keisuke Harigaya, Ryoto Takai, Ryuichiro Kitano.

Figure 1
Figure 1. Figure 1: Feynman diagram of the neutrinoless double beta decay process, i.e., the [PITH_FULL_IMAGE:figures/full_fig_p007_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Feynman diagram of the muonic inverse neutrinoless double beta decay process, [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Cross sections of the process µ +µ + → W+W′+ as functions of the center-of-mass energy, as given in Eq. (3.1) with λµµ = 1. The calculation assumes degenerate heavy neutral leptons and unpolarized antimuon beams. Each pair of numbers denotes (mW′, mN ) in units of TeV. In [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Cross sections of the process µ +µ + → W+W′+ as functions of mN and mW′, as given in Eq. (3.1) with λµµ = 1, at the center-of-mass energies √ s = 10 TeV (left) and 30 TeV (right). The calculation assumes degenerate heavy neutral leptons and unpolarized antimuon beams. The shaded region indicates where the perturbativity condition x < 1 is violated. 3.2 Lepton number violation via off-shell W′ boson Even wh… view at source ↗
Figure 5
Figure 5. Figure 5: Differential cross sections dσ/dm2 at √ s = 30 TeV, shown as functions of the invariant mass of the final-state quarks m, which corresponds to the integrand in Eq. (3.8) with λµµ = 1. The calculation assumes degenerate heavy neutral leptons and unpolarized antimuon beams. Each pair of numbers denotes (mW′, mN ) in units of TeV. where mqq′ is the invariant mass of the final-state quarks, ΓW′(m) = ΓW′|mW′→m … view at source ↗
Figure 6
Figure 6. Figure 6: Cross sections of the process µ +µ + → W+W′∗ → W+qq′ at √ s = 10 TeV (top) and 30 TeV (bottom) , shown as functions of the lower cut on the invariant mass of the final-state quarks, mcut. Each pair of numbers denotes (mW′, mN ) in units of TeV. Assumptions include degenerate heavy neutral leptons, unpolarized antimuon beams, and λµµ = 1 [PITH_FULL_IMAGE:figures/full_fig_p013_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Cross sections of the process µ +µ + → W+W′∗ → W+qq′ as functions of the center-of-mass energy, as given in Eq. (3.8). The solid, dashed, and dotted lines indicate results obtained by integrating over the quark invariant mass with mcut = 0, 5, and 10 TeV, respectively. Each pair of numbers denotes (mW′, mN ) in units of TeV. Assumptions include degenerate heavy neutral leptons, unpolarized antimuon beams, … view at source ↗
Figure 8
Figure 8. Figure 8: Cross sections of the process µ +µ + → W+W′∗ → W+qq′ as functions of mN and mW′ at the center-of-mass energies √ s = 10 TeV (left) and 30 TeV (right). The calculation assumes degenerate heavy neutral leptons and unpolarized antimuon beams, and λµµ = 1. The shaded region indicates where the perturbativity condition x < 1 is violated. resultant cross section near mW qq′ ≃ √ s is already suppressed, but by im… view at source ↗
Figure 9
Figure 9. Figure 9: Cross sections estimated in bins of the invariant mass of the [PITH_FULL_IMAGE:figures/full_fig_p016_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Cross section for the single production of heavy neutral leptons in the process [PITH_FULL_IMAGE:figures/full_fig_p018_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Cross section for the single production of heavy neutral leptons in the process [PITH_FULL_IMAGE:figures/full_fig_p019_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Parameter region of λ˜ ee < 0.125 and λ˜ µµ > 0.9 for the case of mN,1/mN,2 = 0.7 and mN,2 = mN,3. The x and y axes show the rotation angle in U1 and V , respectively. 4 Summary Muon colliders are anticipated to directly probe new physics at the TeV scale by exploiting their high center-of-mass energies and, being lepton colliders, to simultaneously enable precise measurements of Higgs and electroweak phy… view at source ↗
Figure 13
Figure 13. Figure 13: Feynman diagram generating the Majorana mass [PITH_FULL_IMAGE:figures/full_fig_p023_13.png] view at source ↗
read the original abstract

The parity solution to the strong CP problem necessarily extends the Standard Model to include the SU$(2)_{\rm R}$ gauge sector and imposes restrictions on the structure of the Yukawa interactions. In this framework, one can consider an appealing structure of the neutrino sector in which the smallness of the neutrino masses is naturally explained, while lepton number symmetry is substantially violated at the TeV scale. Observation of distinctive lepton number violating signals at collider experiments can therefore be expected, since the rates are not suppressed by the small neutrino masses. We study the constraints from neutrinoless double beta decay and discuss the prospects for discovering new TeV-scale particles, such as the $W'$ boson of SU$(2)_{\rm R}$, via lepton number violating processes at a $\mu^+ \mu^+$ collider, $\mu^+ \mu^+ \to W^+ W'^+$. A $\mu^+ \mu^+$ collider with a center-of-mass energy of 10 TeV can probe the $W'$ boson mass up to about 10 TeV through on-shell production, and the reach can extend to 16 TeV by studying processes involving off-shell $W'$ boson.

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

1 major / 2 minor

Summary. The manuscript proposes a parity-symmetric extension of the Standard Model that solves the strong CP problem via an SU(2)_R gauge sector with restricted Yukawa interactions. It introduces a neutrino sector structure that accounts for small neutrino masses while allowing substantial lepton number violation at the TeV scale. The work derives constraints from neutrinoless double beta decay and computes the discovery reach for the W' boson through lepton number violating processes at a μ⁺μ⁺ collider, specifically via μ⁺μ⁺ → W⁺W'⁺, claiming on-shell sensitivity to m_{W'} ≈ 10 TeV and off-shell extension to 16 TeV at √s = 10 TeV.

Significance. If the neutrino sector permits unsuppressed TeV-scale LNV rates consistent with observed neutrino masses, the paper provides a concrete, falsifiable link between the parity solution to strong CP and observable signals at proposed muon colliders. The dual on-shell/off-shell analysis and explicit 0νββ constraints add phenomenological value, though the result's robustness hinges on the model's internal consistency rather than new data or machine-checked elements.

major comments (1)
  1. [Abstract / model setup] Abstract and model setup: the claim that 'rates are not suppressed by the small neutrino masses' is load-bearing for both the 10 TeV on-shell and 16 TeV off-shell reaches, yet the provided text does not exhibit an explicit effective operator, amplitude expression, or parameter scan demonstrating that the LNV vertex (involving right-handed Yukawas and W' couplings) remains O(1) after fitting to neutrino oscillation data and 0νββ bounds. This leaves the off-shell extension particularly vulnerable to propagator suppression combined with seesaw-like relations.
minor comments (2)
  1. [Collider phenomenology] Clarify the precise definition of the center-of-mass energy and luminosity assumptions used for the cross-section estimates leading to the 16 TeV reach.
  2. [Results] Add a brief comparison table of the predicted LNV cross sections against standard left-right symmetric model benchmarks to highlight the distinguishing feature of the parity-symmetric neutrino structure.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the thorough review and constructive feedback on our manuscript. We address the major comment below and have incorporated clarifications to strengthen the presentation of the model.

read point-by-point responses

  1. Referee: [Abstract / model setup] Abstract and model setup: the claim that 'rates are not suppressed by the small neutrino masses' is load-bearing for both the 10 TeV on-shell and 16 TeV off-shell reaches, yet the provided text does not exhibit an explicit effective operator, amplitude expression, or parameter scan demonstrating that the LNV vertex (involving right-handed Yukawas and W' couplings) remains O(1) after fitting to neutrino oscillation data and 0νββ bounds. This leaves the off-shell extension particularly vulnerable to propagator suppression combined with seesaw-like relations.

    Authors: We thank the referee for highlighting this point. In the parity-symmetric model the restricted Yukawa structure of the SU(2)_R sector allows the right-handed neutrinos to acquire TeV-scale Majorana masses while the light-neutrino masses remain suppressed by the standard type-I seesaw. The lepton-number-violating vertices relevant for μ⁺μ⁺ → W⁺W'⁺ are mediated by the right-handed gauge coupling g_R and the right-handed neutrino mixing matrix; these couplings are independent of the small Dirac Yukawas that set the light-neutrino scale. Consequently the LNV amplitude is not additionally suppressed by the light-neutrino masses. In the revised manuscript we have added an explicit effective-operator expression for the LNV process (new Eq. (3.4)) together with a short parameter-space discussion showing that O(1) right-handed Yukawas remain compatible with neutrino-oscillation data and current 0νββ limits. The off-shell reach calculation already includes the propagator factor 1/(ŝ − m_W'²); the quoted 16 TeV sensitivity is obtained for benchmark points where the effective LNV strength stays unsuppressed. We therefore maintain that the off-shell extension is not further compromised by seesaw-like relations beyond the propagator suppression already accounted for. revision: partial

Circularity Check

0 steps flagged

No significant circularity; derivation relies on external benchmarks and posited model choices

full rationale

The paper introduces a parity-symmetric extension of the SM to address strong CP, posits an 'appealing structure' for the neutrino sector that allows TeV-scale LNV without suppression by eV-scale masses, and computes collider reaches for on-shell and off-shell W' production using standard simulation techniques. No parameter is fitted to a data subset and then relabeled as a prediction, no equation reduces to its input by construction, and no load-bearing step depends on a self-citation chain that itself assumes the target result. The central claims rest on independent model-building assumptions and external collider phenomenology rather than internal self-reference.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 1 invented entities

The central claim rests on the parity-symmetric extension, the chosen neutrino-sector structure, and standard collider phenomenology; several mass and coupling parameters remain free.

free parameters (2)
  • W' boson mass
    Free parameter of the SU(2)_R sector whose value determines the collider reach.
  • Right-handed Yukawa couplings
    Restricted by parity but still contain free parameters fitted to fermion masses and mixings.
axioms (2)
  • domain assumption Parity symmetry solves the strong CP problem
    Invoked as the starting framework in the abstract.
  • ad hoc to paper Neutrino sector structure with TeV-scale lepton number violation
    Chosen to explain small neutrino masses while allowing unsuppressed LNV signals.
invented entities (1)
  • W' boson of SU(2)_R no independent evidence
    purpose: New gauge boson that mediates lepton-number-violating processes at the TeV scale
    Introduced by the parity-symmetric extension; no independent evidence supplied beyond the model.

pith-pipeline@v0.9.0 · 5747 in / 1493 out tokens · 39202 ms · 2026-05-18T12:54:17.787616+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    The parity solution to the strong CP problem necessarily extends the Standard Model to include the SU(2)_R gauge sector... lepton number symmetry is substantially violated at the TeV scale... rates are not suppressed by the small neutrino masses.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    Finite neutrino masses are generated only after we introduce a small Majorana mass for S and include quantum corrections... even though the neutrino masses are very small, one can expect large experimental signals of lepton number violation.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 1 Pith paper

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

  1. Same-Sign Tetralepton Signature at $\mu$TRISTAN

    hep-ph 2026-04 unverdicted novelty 4.0

    The paper identifies promising parameter regions for observing same-sign tetralepton events from charged Higgs pair and single production decaying to muons and heavy neutral leptons at μTRISTAN.

Reference graph

Works this paper leans on

48 extracted references · 48 canonical work pages · cited by 1 Pith paper · 17 internal anchors

  1. [1]

    M. A. B. Beg and H. S. Tsao,Strong P, T Noninvariances in a Superweak Theory, Phys. Rev. Lett.41(1978) 278

    work page 1978

  2. [2]

    R. N. Mohapatra and G. Senjanovic,Natural suppression of strongPandT non-invariance,Phys. Lett. B79(1978) 283

    work page 1978

  3. [3]

    Solution to the Strong CP Problem: Supersymmetry with Parity

    R. Kuchimanchi,Solution to the StrongCPProblem: Supersymmetry with Parity, Phys. Rev. Lett.76(1996) 3486 [hep-ph/9511376]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  4. [4]

    R. N. Mohapatra and A. Rasin,Simple supersymmetric solution to the strong CP problem,Phys. Rev. Lett.76(1996) 3490 [hep-ph/9511391]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  5. [5]

    K. S. Babu and R. N. Mohapatra,CPviolation in seesaw models of quark masses, Phys. Rev. Lett.62(1989) 1079

    work page 1989

  6. [6]

    K. S. Babu and R. N. Mohapatra,Solution to the strong CP problem without an axion, Phys. Rev. D41(1990) 1286

    work page 1990

  7. [7]

    L. J. Hall and K. Harigaya,Implications of Higgs discovery for the strong CP problem and unification,JHEP10(2018) 130 [1803.08119]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  8. [8]

    A Grand Unified Parity Solution to Strong CP Problem

    Y. Mimura, R. N. Mohapatra and M. Severson,Grand unified parity solution to the strong CP problem,Phys. Rev. D99(2019) 115025 [1903.07506]. 24

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  9. [9]

    L. J. Hall and K. Harigaya,Higgs Parity Grand Unification,JHEP11(2019) 033 [1905.12722]

    work page arXiv 2019

  10. [10]

    Carrasco-Martinez, L

    J. Carrasco-Martinez, L. J. Hall, K. Harigaya and K. Langhoff,A Flavor of SO(10) Unification with a Spinor Higgs,2506.20708

    work page arXiv

  11. [11]

    Dunsky, L

    D. Dunsky, L. J. Hall and K. Harigaya,Sterile Neutrino Dark Matter and Leptogenesis in Left-Right Higgs Parity,JHEP01(2021) 125 [2007.12711]

    work page arXiv 2021

  12. [12]

    Harigaya and I

    K. Harigaya and I. R. Wang,Baryogenesis in a parity solution to the strong CP problem,JHEP11(2023) 189 [2210.16207]

    work page arXiv 2023

  13. [13]

    Carrasco-Martinez, D

    J. Carrasco-Martinez, D. I. Dunsky, L. J. Hall and K. Harigaya,Leptogenesis in parity solutions to the strong CP problem and Standard Model parameters,JHEP06(2024) 048 [2307.15731]

    work page arXiv 2024

  14. [14]

    Dasgupta, M

    A. Dasgupta, M. Knauss and M. Sher,Gravitational wave production and baryogenesis in a simple left-right model,Phys. Rev. D112(2025) 055034 [2505.04751]

    work page arXiv 2025

  15. [15]

    J. A. Dror, D. Dunsky, L. J. Hall and K. Harigaya,Sterile Neutrino Dark Matter in Left-Right Theories,JHEP07(2020) 168 [2004.09511]

    work page arXiv 2020

  16. [16]

    M. J. Baldwin and K. Harigaya,Electroweak-Charged Dark Matter and SO(10) Unification with Parity,2407.01696

    work page arXiv

  17. [17]

    M. J. Baldwin, K. Harigaya and I. R. Wang,Upper Bound on Parity Breaking Scale for Doublet WIMP Dark Matter,2507.22113

    work page arXiv

  18. [18]

    L. J. Hall, K. Harigaya and Y. Shpilman,Radiative Majorana neutrino masses in a parity solution to the strong CP problem,JHEP03(2024) 047 [2311.10274]

    work page arXiv 2024

  19. [19]

    K. S. Babu and X. G. He,DIRAC NEUTRINO MASSES AS TWO LOOP RADIATIVE CORRECTIONS,Mod. Phys. Lett. A4(1989) 61

    work page 1989

  20. [20]

    K. S. Babu, X.-G. He, M. Su and A. Thapa,Naturally light Dirac and pseudo-Dirac neutrinos from left-right symmetry,JHEP08(2022) 140 [2205.09127]

    work page arXiv 2022

  21. [21]

    Hisano, T

    J. Hisano, T. Kitahara, N. Osamura and A. Yamada,Novel loop-diagrammatic approach to QCDθparameter and application to the left-right model,JHEP03(2023) 150 [2301.13405]

    work page arXiv 2023

  22. [22]

    Witten,LargeNchiral dynamics,Ann

    E. Witten,LargeNchiral dynamics,Ann. Phys.128(1980) 363. 25

    work page 1980

  23. [23]

    ’t Hooft,Topology of the gauge condition and new confinement phases in non-abelian gauge theories,Nucl

    G. ’t Hooft,Topology of the gauge condition and new confinement phases in non-abelian gauge theories,Nucl. Phys. B190(1981) 455

    work page 1981

  24. [24]

    Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

    E. Witten,Theta Dependence in the LargeNLimit of Four-Dimensional Gauge Theories,Phys. Rev. Lett.81(1998) 2862 [hep-th/9807109]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  25. [25]

    Theta, Time Reversal, and Temperature

    D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg,Theta, time reversal and temperature,JHEP05(2017) 091 [1703.00501]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  26. [26]

    Kitano, N

    R. Kitano, N. Yamada and M. Yamazaki,IsN= 2Large?,JHEP02(2021) 073 [2010.08810]. [30]ATLAScollaboration,Search for a heavy charged boson in events with a charged lepton and missing transverse momentum fromppcollisions at √s= 13 TeVwith the ATLAS detector,Phys. Rev. D100(2019) 052013 [1906.05609]. [31]ATLAScollaboration,Search for vector-boson resonances d...

    work page arXiv 2021

  27. [27]

    Cid Vidal et al

    X. Cid Vidal, M. D’Onofrio, P. J. Fox, R. Torre, K. A. Ulmer, A. Aboubrahim, A. Albert et al.,Report from Working Group 3: Beyond the Standard Model physics at the HL-LHC and HE-LHC,CERN Yellow Rep. Monogr.7(2019) 585 [1812.07831]. [34]Particle Data Groupcollaboration,Review of particle physics,Phys. Rev. D110 (2024) 030001. [35]CMScollaboration,Search fo...

    work page arXiv 2019

  28. [28]

    H. K. Dreiner, H. E. Haber and S. P. Martin,Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry,Phys. Rept.494(2010) 1 [0812.1594]

    work page arXiv 2010

  29. [29]

    Neutrinoless double beta decay in seesaw models

    M. Blennow, E. Fernandez-Martinez, J. Lopez-Pavon and J. Menendez,Neutrinoless double beta decay in seesaw models,JHEP07(2010) 096 [1005.3240]. 26

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  30. [30]

    Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing

    J. Barry and W. Rodejohann,Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing,JHEP09(2013) 153 [1303.6324]. [39]KamLAND-Zencollaboration,Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset,2406.11438

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  31. [31]

    Phase space factors for double-$\beta$ decay

    J. Kotila and F. Iachello,Phase-space factors for double-βdecay,Phys. Rev. C85 (2012) 034316 [1209.5722]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  32. [32]

    Phase Space Factors for Double Beta Decay: an up-date

    M. Mirea, T. Pahomi and S. Stoica,Phase Space Factors for Double Beta Decay: an up-date,1411.5506

    work page internal anchor Pith review Pith/arXiv arXiv

  33. [33]

    Neutrinoless double beta decay in minimal left-right symmetric model with universal seesaw

    D. Borah, A. Dasgupta and S. Patra,Neutrinoless double beta decay in minimal left-right symmetric model with universal seesaw,Int. J. Mod. Phys. A33(2018) 1850198 [1706.02456]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  34. [34]

    NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations

    I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. P. Pinheiro and T. Schwetz,NuFit-6.0: updated global analysis of three-flavor neutrino oscillations, JHEP12(2024) 216 [2410.05380]

    work page internal anchor Pith review Pith/arXiv arXiv 2024

  35. [35]

    C. A. Heusch and F. Cuypers,Physics with like-sign muon beams in a TeV muon collider,AIP Conf. Proc.352(1996) 219 [hep-ph/9508230]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  36. [36]

    Lower Bounds on Bilepton Processes at e-e- and mu-mu- Colliders

    M. Raidal,Lower bounds on bilepton processes ate −e− andµ −µ− colliders,Phys. Rev. D57(1998) 2013 [hep-ph/9706279]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  37. [37]

    Inverse Neutrino-less Double Beta Decay Revisited: Neutrinos, Higgs Triplets and a Muon Collider

    W. Rodejohann,Inverse neutrinoless double beta decay revisited: Neutrinos, Higgs triplets, and a muon collider,Phys. Rev. D81(2010) 114001 [1005.2854]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  38. [38]

    Yang, C.-H

    J.-L. Yang, C.-H. Chang and T.-F. Feng,Leptonic di-flavor and di-number violation processes at high energyµ ±µ± colliders,Chin. Phys. C48(2024) 043101 [2302.13247]

    work page arXiv 2024

  39. [39]

    Jiang, T

    R. Jiang, T. Yang, S. Qian, Y. Ban, J. Li, Z. You and Q. Li,Searching for Majorana neutrinos at a same-sign muon collider,Phys. Rev. D109(2024) 035020 [2304.04483]

    work page arXiv 2024

  40. [40]

    Fridell, R

    K. Fridell, R. Kitano and R. Takai,Lepton flavor physics atµ +µ+ colliders,JHEP06 (2023) 086 [2304.14020]

    work page arXiv 2023

  41. [41]

    C. H. de Lima, D. McKeen, J. N. Ng, M. Shamma and D. Tuckler,Probing lepton number violation at same-sign lepton colliders,Phys. Rev. D111(2025) 075002 [2411.15303]. 27

    work page arXiv 2025

  42. [42]

    Bhattacharya, S

    S. Bhattacharya, S. Datta and A. Sarkar,Probing∆L= 2lepton number violating SMEFT operators at the same-sign muon collider,2505.20936

    work page arXiv

  43. [43]

    C. F. Uhlemann and N. Kauer,Narrow-width approximation accuracy,Nucl. Phys. B 814(2009) 195 [0807.4112]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  44. [44]

    The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations

    J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer, H. S. Shao et al.,The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations,JHEP07(2014) 079 [1405.0301]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  45. [45]

    Cheyette,Production of SingleWBosons ine +e− Collisions,Phys

    O. Cheyette,Production of SingleWBosons ine +e− Collisions,Phys. Lett. B137 (1984) 431

    work page 1984

  46. [46]

    Philipsen,W W γcouplings from singleW-production in polarizede +e− collisions, Z

    O. Philipsen,W W γcouplings from singleW-production in polarizede +e− collisions, Z. Phys. C54(1992) 643

    work page 1992

  47. [47]

    Hamada, R

    Y. Hamada, R. Kitano, R. Matsudo, H. Takaura and M. Yoshida,µTRISTAN,PTEP 2022(2022) 053B02 [2201.06664]

    work page arXiv 2022

  48. [48]

    Hamada, R

    Y. Hamada, R. Kitano, R. Matsudo, S. Okawa, R. Takai, H. Takaura and L. Treuer, Higgs boson production atµ +µ+ colliders,Phys. Rev. D110(2024) 113011 [2408.01068]. 28

    work page arXiv 2024