REVIEW
Probing Lepton Number Violation via Majorana Neutrinos at Hadron Supercolliders
High Energy Physics - Phenomenology · Submitted 10 Nov 1993 · 25 references
Pith's verdict: A solid, honest 1993 channel-by-channel feasibility study whose headline event numbers don't quite trace back to its own Table I.
T0 · AI review
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Referee report
The paper
The paper claims
Heavy Majorana neutrinos produced singly through a virtual W could yield observable like-sign dilepton pairs at the LHC, with rates that depend linearly on an unmeasured lepton-mixing parameter.
The reading
What carries the argument
The load-bearing object is the like-sign dilepton signal itself: two same-charge leptons produced when a heavy Majorana neutrino is made in association with a charged lepton and then decays leptonically, so that the final state carries two units of lepton number. Because the neutrino is its own antiparticle, the charges need not balance, and that is the observable signature. The argument is carried by two suppression factors, $R^{(1)}$ for single production and $R^{(2)}$ for pair production, which package all the unknown mixing-matrix entries $B_{l alpha}$ and $C_{alpha beta}$ into quantities bounded by the experimental limits on $|B_{l alpha}|^2$. The other piece of machinery is the background-killing cut: because a lepton from a $b$ decay sits inside a narrow hadronic cone while a lepton from heavy-neutrino or top decay is isolated, requiring less than 10 GeV of transverse energy within a 0.4 radian cone, together with $p_{T2} > 80$ GeV, removes the $t bar t$ background that would otherwise swamp the signal.
Extended reading notes
Core claim
The central claim is a ranking of production channels plus a feasibility estimate. Of the eight parton-level processes the authors write down for a three-generation $SU(2)_L otimes U(1)_Y$ model, only $pp to W^* to l N_alpha$ and $pp to W^* gamma^* to l N_alpha$ have cross sections large enough to matter; the vector-boson fusion channel $W^*W^* to ll$ is free of Standard Model background but suppressed by an extra factor $R^{(1)2}_{3G} simeq 10^{-4}$, and the $Z$- and Higgs-mediated pair channels carry couplings of order $xi^2$. The like-sign dilepton yield is then controlled by the ratio $R^{(1)}_{3G} = sum_{l_i l_j} |B_{l_i alpha}|^2 |B_{l_j alpha}|^2 / sum_{l_m} |B_{l_m alpha}|^2$, bounded above by $(s^nu_e_L)^2 + (s^nu_mu_L)^2 simeq 0.02$ from LEP and low-energy fits. Using that bound, an integrated luminosity of $4 times 10^5$ pb$^{-1}$/yr, and cuts $E_{TAC} < 10$ GeV and $p_{T2} > 80$ GeV, the paper quotes 48, 32 and 16 events per year at the LHC for $m_N = 200, 300, 400$ GeV, roughly a factor 1.5 more if both dilepton charges are counted. For the four-generation Hill-Paschos scenario the authors instead find that $gg to H^* to N_alpha N_beta$ dominates, with the relevant ratio $R^{(2)}_{4G}$ approaching unity when $m_N gg m_nu$, and they tabulate 7200 to 34000 events per year at the LHC (times $R^{(2)}_{4G}$) as the Higgs mass is varied from 200 to 1000 GeV.
Load-bearing premise
That the lepton-number-violating mixing parameter $R^{(1)}_{3G}$ sits at its experimental upper bound of about 0.02; the quoted 16 to 48 events per year scale linearly with this quantity, and the authors themselves say the signal may remain elusive if it is much smaller.
Editorial extensions
If this is right
- A like-sign dilepton search at the LHC with an isolation cut and $p_{T2} > 80$ GeV is the appropriate experimental handle on Majorana neutrino masses below about 400 GeV in this class of models.
- Because the three-generation rate scales as $R^{(1)}_{3G}$ and the four-generation pair rate as $R^{(2)}_{4G}$, the same signal cannot by itself distinguish three from four neutrino generations; only the size of the rate, not its existence, carries that information.
- In the four-generation scenario the Higgs-mediated channel gives background-free samples at both LHC and SSC energies, so an on-shell Higgs resonance decaying to heavy neutrino pairs would be a second, independent probe.
- If the mixing parameters fall well below their current upper bounds, the like-sign dilepton signal becomes unobservable at hadron colliders, so a null result constrains the mixings rather than the Majorana mass scale.
- The SSC case is left inconclusive: cross sections are only a factor 2 to 2.5 larger while the yearly luminosity is far smaller.
Reading between the lines
- The paper's event counts are upper estimates rather than predictions, since they sit at the edge of the allowed mixing range; a useful way to read the numbers is as a statement about how much luminosity would be needed per unit of $R^{(1)}_{3G}$.
- The authors deliberately set aside jet-level information (two jets for signal versus four for background) and missing transverse energy, both of which they note could strengthen the separation; a modern analysis using those handles would likely push the reach past 400 GeV without new luminosity.
- The heavy-neutrino mass region the paper targets, a few hundred GeV with electroweak-scale Majorana masses, is exactly where a low-scale see-saw would sit, so the negative or positive outcome of this search is a direct test of whether neutrino mass generation happens near the electroweak scale rather than at a grand-unification scale.
- The dependence on a mixing angle bounded only from above means the interesting experimental question is symmetric: seeing the signal fixes a mixing, and not seeing it converts a collider null result into an upper bound competitive with LEP and low-energy constraints.
Original abstract
The possibility of discovering heavy Majorana neutrinos and lepton number violation via the like sign dilepton signal at hadron super- colliders is investigated. The cross-sections for the production of these neutrinos singly as well as in pairs are computed both in three and four generation scenarios within the framework of the gauge group $SU(2)_L \otimes U(1)_Y$ and the dominant processes are identified. The suppression of the Standard model background by suitable kinematical cuts is also discussed.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
The possibility of discovering heavy Majorana neutrinos and lepton number violation via the like sign dilepton signal at hadron super- colliders is investigated. The cross-sections for the production of these neutrinos singly as well as in pairs are computed both in three and four generation scenarios within the framework of the gauge group $SU(2)_L \otimes U(1)_Y$ and the dominant processes are identified. The suppression of the Standard model background by suitable kinematical cuts is also discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The possibility of discovering heavy Majorana neutrinos and lepton number violation via the like sign dilepton signal at hadron super- colliders is investigated. | contribution 0.94 | 0.53 | 0.12 | hedged possibility 0.91 |
| s1 | The cross-sections for the production of these neutrinos singly as well as in pairs are computed both in three and four generation scenarios within the framework of the gauge group $SU(2)_L \otimes U(1)_Y$ and the dominant processes are identified. | contribution 0.48 | 0.92 | 0.09 | asserted 1.00 |
| s2 | The suppression of the Standard model background by suitable kinematical cuts is also discussed. | method 0.84 | 0.66 | 0.05 | asserted 0.73 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
Figures
Figures reproduced from arXiv:hep-ph/9311257 by the authors.
References
How the literature uses it
40 arXiv papers cite this in 55 sentences
Papers citing it · 40 sentences without a confident label
Cites it as background 14 papers
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This decay has been studied extensively, both theoretically [ref] and experimentally [ref] , as a signal of LNV.
CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC · Introduction · 0.88
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The collider signatures of right-handed neutrinos have been extensively studied in the literature [ref] .
Probing sterile neutrinos in the framework of inverse seesaw mechanism through leptoquark productions · Present status, constraints and choice of Benchmark Points · 1.00
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In particular, the production of Majorana neutrinos via $e^+e^-$, $e^- γ$, $γγ$ and hadronic collision have been extensively investigated in the past [ref] .
Majorana neutrinos production at LHeC in an effective approach · Introduction · 0.97
Discussion
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