{"id":"a69556b8-02f0-41bd-947f-92a561086f14","arxiv_id":"2505.01769","paper_version":1,"verdict":"UNVERDICTED","confidence":"MODERATE","novelty_score":1.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":6,"one_line_summary":"This invited review summarizes the Minimal Supersymmetric Standard Model, current LHC bounds on gluinos, squarks, stops, sleptons, and neutralinos, and how split supersymmetry scenarios address the Higgs mass, W mass, muon g-2, and proton lifetime constraints.","lead":"Supersymmetry (SUSY) is reviewed together with LHC limits on superpartner masses and their implications for the Higgs mass, W boson mass, muon g-2, and proton decay. The paper surveys a viable SUSY scenario based on general gauge mediation, though it contains no new experimental or theoretical results.","discovery_kind":"review","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Proton-lifetime consistency of the benchmark g−2 models rests on an unquantified orbifold-GUT suppression κ∼1e-4–1e-3 that the review does not derive.","rationale":"The reader's weakest assumption is the reality of the muon g−2 anomaly, since lattice and CMD-3 results may remove it. That is a genuine external concern, and the review itself appropriately flags it. I find a different, more directly load-bearing weakness: the review's benchmark g−2 models are claimed to be consistent with proton-decay bounds, but this consistency depends on a suppression factor κ∼10^-4–10^-3 that is inserted by hand. Eq. (102) shows the lifetime scales as κ^-2, and the text confirms that with κ=1 the same spectra are too short-lived for squark masses of 3–7 TeV. The review provides no construction producing κ, only a statement that orbifold GUTs can suppress the wavefunctions. General gauge mediation determines the soft masses, not this GUT suppression, so 'realized in general gauge mediation' is not sufficient for the full consistency claim. This is not an attack on the review's value as a summary; it is a precise condition under which its central assertion holds. If one reads the review as an invited encyclopedia entry, the verdict could remain UNCHANGED, but the scientific claim itself should be labeled conditional until a concrete orbifold GUT realizes the required κ.","tokens_in":16098,"tokens_out":10331,"duration_ms":111089,"concrete_test":"Take the three benchmark mass spectra from Fig. 3 (left) and insert them into Eq. (102) with κ=1 and with κ=10^-3, M_HC=10^16 GeV, AR=0.1, and tanβ=30, evaluating the loop function F from Eq. (101) with the stated μH, m_tR, and m_τR. Compare each resulting τ(p→K+ν) with the Super-K limit 6.6×10^33 yr. If all κ=1 lifetimes fall below the limit, the paper's consistency claim rests entirely on the undemonstrated κ suppression; a complete orbifold SU(5) model should then be constructed to show that the effective colored-Higgsino Yukawa suppression is indeed in the required 10^-4–10^-3 range.","verdict_should_be":"CONDITIONAL","load_bearing_attack":"The central claim in the Conclusions is that the SUSY explanation of the muon g−2 anomaly can be accommodated by light electroweak superpartners 'realized in general gauge mediation.' In the strongest reading, this includes compatibility with the proton-decay bound τ(p→K+ν)>6.6×10^33 yr quoted in §5. The review's own estimate, Eq. (102), scales τ ∝ (M_HC/κ)^2. For the spectra advocated in §4.2 (squarks of order 3–7 TeV, sleptons near 100 GeV, μH=1200 GeV, tanβ=30), the text states that the minimal SU(5) value κ=1 is excluded and that 'it is sufficient to take a suppression factor, κ∼10^-4−10^-3.' No concrete orbifold GUT is presented that produces this κ; the Conclusion only says the problem 'can be solved when the model is embedded in orbifold GUTs.' General gauge mediation fixes the soft spectrum, not the colored-Higgsino Yukawa suppression, so the phrase 'realized in general gauge mediation' overstates the construction: the benchmark points pass the proton-lifetime bound only if a separate, unquantified GUT mechanism supplies κ in the required range. If κ is not naturally that small, the claimed consistent parameter space disappears. The review honestly flags this as a remaining model-building step, but the central claim is therefore conditional rather than established.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript is an invited review of supersymmetry in the LHC era. It recapitulates the MSSM field content, R-parity, soft terms, the tree-level Higgs-mass bound, and the stop-loop correction to the Higgs quartic, then summarizes current ATLAS/CMS limits on gluinos, squarks, stops, and electroweak superpartners. It derives the slepton-loop contributions to the W mass and muon g−2, presents three general gauge mediation benchmark models from the author's prior work that fit the muon g−2 anomaly (and, in one case, the CDF-II W mass), and reviews dimension-five proton decay in minimal SU(5), quoting the Super-K limit and estimating lifetimes as functions of the squark mass and the colored-Higgsino suppression factor κ. The conclusions argue that light electroweak superpartners can accommodate the g−2 anomaly and that the proton-decay problem can be evaded by orbifold-GUT wavefunction suppression.","tokens_in":16446,"tokens_out":13536,"duration_ms":135019,"significance":"The review is a useful and largely accurate compendium for an encyclopedia article: the quoted LHC limits are current, the analytic formulas for the neutralino, chargino, and slepton spectra and for the g−2 contributions are given at an appropriate level of detail, and the paper is honest about two major caveats—the lattice-QCD and CMD-3 results may remove the muon g−2 anomaly, and the benchmark spectra are illustrative choices rather than predictions. Its main value is as a compact reference to the status of the MSSM parameter space after the LHC. As discussed below, however, the overall viability claim is conditional on a proton-decay suppression mechanism that is asserted but not demonstrated in the review.","major_comments":[{"comment":"The claimed compatibility of the benchmark spectra with the proton-lifetime bound is not self-contained. The estimate requires a suppression factor κ∼10^-4–10^-3 for squark masses of order 3–7 TeV and sleptons near 100 GeV, but the review does not present or cite an explicit orbifold-GUT construction that naturally produces this value; it only states that tree-level colored-Higgsino Yukawa couplings can be forbidden at an orbifold fixed point. The concluding sentence that the problem 'can be solved' by orbifold GUTs should therefore be rephrased as a conditional claim, or backed by a concrete model, because the advertised viable parameter space disappears if κ is not that small.","section":"Section 5, Eq. (102); Conclusions"},{"comment":"The benchmark models are selected from Ref. [23] to satisfy Δaμ and, for Model III, the CDF-II W-mass value, so their agreement with these observables is a fit rather than an independent prediction. The paper should state this explicitly, both near Fig. 3 and in the Conclusions, so that the wording 'can be accommodated' is not read as a predictive test of supersymmetry.","section":"Section 4.2 and Fig. 3"}],"minor_comments":[{"comment":"The sentence 'There are two typos of supersymmetric interactions' should read 'two types of supersymmetric interactions'.","section":"Section 4.2, text before Eq. (85)"},{"comment":"The soft mass term written as m^2_{~dc,ij}|~u_i^c|^2 should multiply |~d_i^c|^2 rather than |~u_i^c|^2.","section":"Eq. (28)"},{"comment":"The sign of the quadratic divergence in the top-loop contribution appears opposite to the usual convention; please check the expression and correct it if needed.","section":"Section 3, Eq. (35)"},{"comment":"The text refers to 'Appendix A' for the full neutralino and chargino mixing matrices, but no Appendix A appears in the manuscript; either include the appendix or remove the pointer.","section":"Section 4.2, after Eq. (74)"},{"comment":"The notation 'm_e = 250 GeV' should be written as m_{\\tilde e_R} (or otherwise defined) to avoid confusion with the electron mass.","section":"Fig. 6 caption"},{"comment":"The reproduced plots are quite small and the labels are difficult to read; larger fonts and higher resolution would help readers verify the quoted limits.","section":"Figs. 4 and 5"}],"recommendation":"major_revision","confidential_remarks":"This is an invited encyclopedia review, so I have not applied the standard of an original research paper. The manuscript would be acceptable after the proton-decay claim is qualified and the small textual issues are corrected. One editorial note: the benchmark discussion draws heavily on the author's own Ref. [23]; this is legitimate, but a brief statement of the relationship between the review and that original paper would help avoid any perception of self-promotion."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Hyun Min Lee's \"Supersymmetry and LHC era\" is an invited review, and that's exactly what it reads like: a careful, competent summary of where SUSY stands after LHC Run 2, not a research paper with new results. The honest thing to say up front is that there is nothing here that isn't already in the literature, including the author's own earlier papers. But that doesn't make it useless.  What it does well: it gives a clear picture of the current experimental landscape—gluino, squark, and stop limits; the W mass situation (CDF vs. PDG vs. ATLAS/CMS); the muon g-2 status, including the lattice QCD and CMD-3 complications; and the proton-decay bound. The review correctly walks through the standard formulas for neutralino/chargino masses and the slepton contributions to g-2. It is also honest that the g-2 anomaly may vanish if the lattice results hold, which is the right caveat. The benchmark models in Sec. 4 are clearly drawn from Ref. [23], so there's no suggestion of independent prediction.  The main soft spot is the proton lifetime. Eq. (102) shows that the benchmark spectra—squarks around 3–7 TeV, sleptons near 100 GeV, muH = 1200 GeV, tan beta = 30—are excluded in minimal SU(5) with kappa=1. To get around that, the review says \"it is sufficient to take a suppression factor kappa ~ 1e-4 to 1e-3.\" But that suppression is not derived. The review just says it can be achieved in orbifold GUTs. That's a real gap: the compatibility of the g-2 benchmarks with proton decay is an assumption about UV physics, not a consequence of general gauge mediation. The review does flag it as a remaining model-building step, which is honest, but the central claim in the Conclusions should be read as conditional on that kappa being natural. There are also small typos (e.g., \"two typos\" in Sec. 4.2 likely means \"two types\"), but those are minor.  Who is this for? A graduate student or a researcher wanting a quick, trustworthy orientation on SUSY and LHC constraints would get real value from it. An expert won't learn much new. As an encyclopedia entry, it does its job. I'd send it to a referee—review articles should be checked for accuracy—but the referee should specifically press on whether the kappa suppression can actually be realized, and if not, the conclusion should be softened.  Recommendation: engage with it as a reference, but don't treat the g-2 benchmark scenarios as established parameter space without a concrete GUT model.","headline":"A competent, up-to-date review of SUSY after the LHC, but its central g-2 benchmark scenario depends on an unquantified proton-decay suppression factor.","tokens_in":16922,"tokens_out":3653,"would_cite":false,"duration_ms":34285,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"SUSY can still explain the muon g-2 anomaly in the LHC era","keywords":["supersymmetry","MSSM","muon g-2 anomaly","LHC superpartner searches","general gauge mediation","proton decay","W boson mass","Higgs mass"],"falsifier":"A decisive test is the comparison between the final experimental value of $a_\\mu$ and a lattice-QCD-based Standard Model prediction: if they agree within about $1\\sigma$, the anomaly vanishes and the benchmark spectra built to produce $\\Delta a_\\mu\\simeq 249\\times 10^{-11}$ would address no known discrepancy.","tokens_in":15907,"feed_emoji":"⚛️","tokens_out":9976,"duration_ms":94138,"temperature":0.7,"pith_summary":"This review argues that supersymmetry is not dead after the LHC: the stringent bounds on gluinos and squarks push the colored superpartners to multi-TeV masses, but the discrepancy in the muon's magnetic moment can still be explained by relatively light electroweak superpartners: sleptons, electroweak gauginos, and Higgsinos. The paper shows this is achievable in general gauge mediation, where the SUSY-breaking messenger sector can produce split masses with heavy squarks and light sleptons. It also connects the same framework to the $W$ boson mass, the 125 GeV Higgs mass, and proton decay in SU(5)-type unification. The reader is left with a concrete, testable picture: if the muon $g-2$ anomaly persists, the LHC searches to watch are prompt and displaced decays of sleptons, charginos, and neutralinos.","feed_headline":"SUSY survives LHC era: light sleptons still explain muon g-2","feed_subtitle":"General gauge mediation keeps electroweak superpartners light enough to match the 5.2sigma discrepancy.","key_machinery":"The argument runs on one-loop corrections computed from the MSSM Lagrangian. The slepton contributions to the muon magnetic moment come from chargino--sneutrino loops ($a^{(1)}_\\mu$) and neutralino--smuon loops ($a^{(2)}_\\mu$), whose signs and sizes depend on $\\tan\\beta$, $\\mu_H$, the gaugino masses $M_1$, $M_2$, and smuon mixing. The same slepton mass splittings feed the $\\rho$ parameter and hence shift the $W$ mass. Proton decay is controlled by effective dimension-five operators generated when colored Higgsinos are integrated out; the estimate $\\tau(p\\to K^+\\bar\\nu) \\simeq 4\\times 10^{35}\\,\\text{yr}\\times \\sin^4 2\\beta\\,(\\cdots)\\,(M_{H_C}/\\kappa /10^{16}\\,\\text{GeV})^2$ ties squark, stop, and stau masses to the proton lifetime bound and is the concrete object that makes the scenario falsifiable.","core_discovery":"The paper's central claim is that, despite LHC exclusions of gluinos up to about 2.4 TeV and squarks up to about 1.8 TeV, the Minimal Supersymmetric Standard Model remains viable as an explanation of the muon $g-2$ anomaly. The required spectrum is split: colored superpartners sit at multi-TeV masses, while sleptons, Binos, Winos, and Higgsinos stay near the electroweak scale. In benchmark models drawn from general gauge mediation, one-loop slepton contributions produce $\\Delta a_\\mu$ within 1--2$\\sigma$ of the measured discrepancy, and one model simultaneously fits the high-precision $W$ boson mass measurement. The review further argues that proton decay through dimension-five operators, normally a serious problem for supersymmetric SU(5), can be suppressed by small colored-Higgsino Yukawa couplings ($\\kappa \\sim 10^{-4}$--$10^{-3}$), as realized in orbifold GUTs, bringing the predicted proton lifetime above the current experimental bound.","pith_inferences":["A hidden implication is that naturalness has quietly dropped out of the argument: multi-TeV squarks already force fine-tuning, so the case for supersymmetry now rests on explaining measured anomalies rather than stabilizing the weak scale.","The same split-spectrum logic is highly adaptable: any future electroweak anomaly could be fit by light electroweak superpartners without disturbing the heavy colored sector, making the framework harder to falsify.","The reliance on a small $\\kappa$ suggests a testable connection: if orbifold-GUT wavefunction suppression is why proton decay is slow, the same suppression should appear in other GUT predictions, such as Yukawa unification relations.","A future collider measuring slepton masses in the 100--500 GeV range, combined with an improved $W$ mass measurement, could distinguish the three benchmark models in a way current searches cannot."],"forward_implications":["If the $g-2$ explanation is correct, the discovery targets at the LHC are electroweak superpartners: sleptons up to roughly 700 GeV and charginos or heavier neutralinos up to about 1.2 TeV in prompt searches, with displaced-vertex searches covering the long-lived LSP cases.","The same parameter space predicts a $W$ boson mass shift from slepton contributions to the $\\rho$ parameter, so a future high-precision $W$ mass measurement can discriminate among the benchmark models.","The proton lifetime bound turns into a constraint on GUT structure: minimal SU(5) with TeV-scale superpartners is excluded unless $\\kappa$ is suppressed to roughly $10^{-4}$--$10^{-3}$, pointing toward orbifold GUTs.","If the muon $g-2$ anomaly is resolved by lattice QCD or the recent cross-section data, the electroweak superpartners no longer need to be light, and the remaining SUSY constraints are the Higgs mass and proton lifetime.","Searches for stau pair production can test the flavor universality of slepton masses assumed in the benchmark models, indirectly probing the proton lifetime prediction."],"supporting_citations":[{"why":"Supplies the split-superpartner benchmark spectra, the $\\Delta a_\\mu$ and $\\Delta M_W$ values, and the proton lifetime estimate that carry the review's central conclusions.","marker":"[23]"},{"why":"Sets the LHC exclusion limits on gluinos, squarks, stops, sleptons, and electroweak-inos that define the allowed mass ranges.","marker":"[4]"},{"why":"Provides the world-average $W$ mass, the Standard Model prediction, and the global fit for $\\Delta\\rho$ used to compare the models.","marker":"[9]"},{"why":"Supplies the high-precision $W$ boson mass measurement that one benchmark model is built to accommodate.","marker":"[10]"},{"why":"Gives the Standard Model prediction used to define the 5.2$\\sigma$ muon $g-2$ anomaly.","marker":"[18]"},{"why":"Lattice QCD result consistent with experiment, flagged by the paper as the main caveat to the anomaly's existence.","marker":"[19]"},{"why":"A recent $e^+e^-$ cross-section measurement that deviates from other data, casting doubt on the dispersive Standard Model prediction.","marker":"[21]"},{"why":"Sets the experimental lower bound on the proton lifetime that the orbifold-GUT suppression must satisfy.","marker":"[33]"},{"why":"Provides the loop functions and renormalization factors used for the dimension-five proton decay operators.","marker":"[31]"},{"why":"Gives the earlier universal-sfermion proton decay treatment that this paper's split-spectrum estimate contrasts with.","marker":"[32]"}],"fun_headline_variants":["Split SUSY survives: heavy squarks, light sleptons fix g-2","SUSY dodges LHC limits, light sleptons rescue muon g-2","Proton decay dodged in SUSY, sleptons stay light for g-2","Light sleptons nail muon g-2; LHC only constrained squarks"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The load-bearing premise is that the muon $g-2$ anomaly is real, meaning the Standard Model prediction obtained from the $e^+e^-$ dispersive approach is the correct benchmark; the paper itself notes that lattice QCD and recent cross-section results are consistent with experiment, and if those results win out, the $5.2\\sigma$ discrepancy that motivates its benchmark models disappears.","fun_headline_variants_meta":{"raw":{"variants":["Split SUSY survives: heavy squarks, light sleptons fix g-2","SUSY dodges LHC limits, light sleptons rescue muon g-2","Proton decay dodged in SUSY, sleptons stay light for g-2","Light sleptons nail muon g-2; LHC only constrained squarks"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.002724,"raw_usage":{"total_tokens":10310,"prompt_tokens":789,"completion_tokens":9521,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":405,"completion_tokens_details":{"reasoning_tokens":9431}},"tokens_in":405,"tokens_out":9521,"duration_ms":60869,"temperature":1.0,"reasoning_tokens":9431,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-16T04:10:33.227540+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"A decisive test is the comparison between the final experimental value of $a_\\mu$ and a lattice-QCD-based Standard Model prediction: if they agree within about $1\\sigma$, the anomaly vanishes and the benchmark spectra built to produce $\\Delta a_\\mu\\simeq 249\\times 10^{-11}$ would address no known discrepancy.","supporting_citations":[{"cited_title":"Muon $g-2$ and Proton Lifetime in SUSY SU(5) GUTs with Split Superpartners","cited_arxiv_id":"2402.04850","evidence_quote":"Supplies the split-superpartner benchmark spectra, the $\\Delta a_\\mu$ and $\\Delta M_W$ values, and the proton lifetime estimate that carry the review's central conclusions."},{"cited_title":"Decoupling Can Revive Minimal Supersymmetric SU(5)","cited_arxiv_id":"1304.3651","evidence_quote":"Provides the loop functions and renormalization factors used for the dimension-five proton decay operators."}],"review_version":1}