{"id":"1119b5a5-bab8-4e87-bd4d-3e9f10dd7e61","arxiv_id":"2608.11869","paper_version":1,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":8,"one_line_summary":"A constrained MSSM scan shows that O(1) CP phases remain compatible with the 125 GeV Higgs and current EDM limits only for squarks around 13 TeV and a 2.7 TeV gluino.","lead":"This paper scans the MSSM parameter space for settings that reproduce the 125 GeV Higgs mass while staying under the experimental limits on electron, neutron, and proton electric dipole moments. It finds benchmark points with multi-TeV superpartners and large CP phases, which matters for LHC searches and future EDM experiments.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The one-loop Higgs mass benchmarks lack theory uncertainty; a 1-2 GeV two-loop shift would invalidate the claimed 13-17 TeV squark window.","rationale":"The reader's weakest assumption identifies the same load-bearing point: the Higgs mass is computed at one loop only, with no theory uncertainty, yet benchmark points are quoted to 0.01 GeV. This is indeed the point on which the central existence claim hinges. The EDM constraints are not the limiting factor: BP1-BP4 are below the electron EDM limit by factors of 1.3-4.4, below the neutron EDM limit by factors of 3-7, and below the proton limit by two orders of magnitude, so even sizable hadronic uncertainties (SU(6) model, NDA estimates) do not threaten the conclusion. By contrast, a 1-2 GeV two-loop correction to m_h would move BP1-4 off the measured value, and with A_t=60 TeV and M_S≈15 TeV the one-loop approximation is at its least reliable. Recomputing the points with CPsuperH or FeynHiggs is a concrete and decisive check. The recommended verdict remains CONDITIONAL: the qualitative multi-TeV conclusion is likely stable, but the numerical benchmark selection is not yet established. A secondary, non-load-bearing issue is that the paper fixes all seven phases and scans only two-parameter slices, so the stronger wording 'leaving only regions' is not proven by the scan; also the benchmarks require slepton soft masses of 17-105 TeV, which is not captured by the abstract's 'several TeV' phrasing. Neither issue overturns the existence argument, so no change to the reader's verdict is needed.","tokens_in":13478,"tokens_out":14632,"duration_ms":145357,"concrete_test":"Run CPsuperH 2.3 (or FeynHiggs with complex phases) using the full BP1-BP4 inputs of Table 3, including all CP-violating phases, and compare the predicted m_h with Table 2; if any benchmark shifts by more than 1.5 GeV, recompute the allowed (M_X, M_Y) region and check whether a 125 GeV contour still passes through a 13-17 TeV squark window.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim rests on the four benchmark points in Table 2/3 simultaneously reproducing m_h≈125 GeV while obeying EDM bounds. The m_h values are computed from the one-loop top-stop effective potential, Eqs. (4)-(24), with no two-loop corrections and no error estimate, yet are quoted to 0.01 GeV. In the MSSM, two-loop corrections to m_h are known to shift the result by 1-3 GeV for multi-TeV stops, and the benchmark inputs (|A_t|=60 TeV with M_S≈15 TeV) sit at a large mixing ratio X_t/M_S≈4, beyond maximal mixing, where the one-loop approximation is least controlled. If the true m_h at BP1-BP4 is 122-124 GeV instead of 125.07-126.65 GeV, the benchmarks do not satisfy the measured Higgs mass, and the paper's specific 13-17 TeV squark window loses its numerical support. The qualitative claim that multi-TeV stops are required may survive, but the quoted allowed region would need revision.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript investigates the combined impact of the measured 125 GeV Higgs mass and the experimental upper bounds on the electron, neutron, and proton EDMs on MSSM soft parameters with generic CP-violating phases. The authors compute m_h from the one-loop top-stop effective potential including CP phases (Section 2), decompose the EDM phase dependence into seven combinations (Section 3), and perform scans in selected slices of parameter space. They identify regions with squark masses around 13-17 TeV and a gluino mass of 2.7 TeV, and present four benchmark points (Tables 2-4) that simultaneously give m_h around 125 GeV and EDMs below the current limits, concluding that the combined constraints severely restrict the MSSM parameter space while allowing O(1) phases.","tokens_in":13727,"tokens_out":7028,"duration_ms":77906,"significance":"If the numerical results were reliable, the paper would provide a useful demonstration that multi-TeV squarks and a 2.7 TeV gluino can simultaneously accommodate the 125 GeV Higgs mass and the EDM limits without fine-tuned phases. Its strengths are the use of established EDM formulas from Ibrahim and Nath, a clear identification of the seven phase combinations, and the explicit benchmark tables with decomposed EDM contributions. The main weakness is that the quantitative claims rest on a one-loop top-stop Higgs mass with no uncertainty estimate and on restricted scans, so the specific 13-17 TeV window is not yet firmly established.","major_comments":[{"comment":"The lightest Higgs mass is computed from the one-loop top-stop effective potential only, Eqs. (4)-(24), with no higher-order corrections and no estimated theory uncertainty, yet Table 2 quotes m_h to 0.01 GeV (e.g., 125.07 GeV for BP1). For multi-TeV stops with |A_t|=60 TeV, giving X_t/M_S approximately 4, two-loop corrections to m_h in the MSSM are known to shift the result by 1-3 GeV. If the true m_h at the benchmark points is 122-124 GeV, these points no longer reproduce the measured Higgs mass, and the specific 13-17 TeV squark window derived from the m_h contours in Figure 2 loses its numerical support. The authors should either include a state-of-the-art two-loop Higgs-mass calculation (e.g., FeynHiggs or SUSYHD) or, at minimum, assign a +/-2 GeV uncertainty and demonstrate that the benchmark points and the quoted squark window remain viable within that uncertainty.","section":"Section 2, Table 2"},{"comment":"The scans shown in Figure 2 are performed on narrow slices: the (M_X, M_Y) plane at fixed tan beta and |mu| with the ad hoc relations M_Rl=2M_X, M_Ll=6M_Y, |A_u|=|A_d|=|A_e|=2M_X, |A_t|=2(M_X+M_Y), and the (tan beta, |mu|) plane at fixed squark masses; the CP phases are fixed to specific O(1) values throughout. The conclusion that the combined constraints leave only regions that satisfy both conditions is therefore stronger than what the scan can support. A full or randomized scan over the soft masses and the seven phases would be needed to establish that these are the only allowed regions rather than examples of allowed regions.","section":"Section 4, Figure 2"}],"minor_comments":[{"comment":"Because the benchmark points are chosen from the allowed region after applying both constraints, the agreement in Table 2 is a consistency check rather than a prediction; the text should state this explicitly to avoid the impression of circularity.","section":"Section 4, Table 2"},{"comment":"The SU(6) quark model and naive dimensional analysis estimates for the chromoelectric and purely gluonic contributions carry O(1) hadronic uncertainties, and the paper does not quantify how these would shift the allowed regions in Figure 2. Since the neutron EDM values are within a factor of a few of the experimental bound, the authors should at least discuss the robustness of the benchmark points under such hadronic uncertainties.","section":"Section 3, Eqs. (29)-(33)"},{"comment":"There are numerous typographical errors, including 'invistigate' in the abstract, 'chagino', 'diople', 'breakig', 'exteded', and 'minimual' in the text; a careful proofreading pass is needed.","section":"Global"},{"comment":"In the chargino contribution to the electron EDM, the denominator is written as sin^2 theta m^2_{nu_e}; please define theta (presumably the weak mixing angle theta_W) and verify the overall normalization, since the current notation is ambiguous.","section":"Eq. (28)"}],"recommendation":"major_revision","confidential_remarks":"The main concern is the mismatch between the one-loop Higgs-mass calculation and the 0.01 GeV precision quoted in Table 2; I would ask the authors to either rerun the benchmark points with a public two-loop code or add a conservative uncertainty. The paper is otherwise a standard MSSM EDM/Higgs analysis with transparent benchmark selection."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Colleague,\n\nQuick take: this is a straightforward, incremental MSSM phenomenology paper that updates an older analysis with current EDM limits and shows you can still have O(1) CP phases if squarks sit around 13-17 TeV and the gluino near 2.7 TeV. The genuinely new content is the numerical scan and four benchmark points; the formalism comes from earlier work by the same authors with Nath.\n\nWhat's good: the phase counting is clear, the benchmark inputs are explicit, and using the electron, neutron, and proton EDMs together is sensible. The paper honestly says the benchmarks are chosen to satisfy both constraints, so there's no pretense of prediction.\n\nThe soft spot: the Higgs mass is computed at one loop with only top-stop corrections and quoted to 0.01 GeV. For multi-TeV stops with X_t/M_S ~ 4, two-loop corrections are known to shift m_h by 1-3 GeV. If the true m_h is 122-124 GeV at those benchmark points, the specific 13-17 TeV window loses its numerical support. The qualitative conclusion that multi-TeV stops are needed probably survives, but the quantitative window should not be trusted at this precision. Also, the SU(6) quark-model relations for nucleon EDMs carry hadronic uncertainties that are not discussed, and the scan covers selected slices only, not a full parameter scan.\n\nOverall: a competent, narrowly scoped study that deserves referee time but needs revision to include a theory uncertainty on m_h and ideally a two-loop estimate. I wouldn't cite the benchmark numbers without checking them against a higher-order code, but the phase structure and the EDM constraint update are useful.","headline":"A competent but incremental MSSM-EDM scan; the specific 13-17 TeV squark window is fragile because the one-loop Higgs mass is quoted without theory uncertainty.","tokens_in":14285,"tokens_out":1920,"would_cite":false,"duration_ms":19972,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":["11.30.Er","12.60.Jv","14.80.Bn"],"model":"deepseek-v4-flash","headline":"The paper argues that the 125 GeV Higgs mass and current electron, neutron, and proton EDM bounds can be satisfied together in the MSSM with order-one CP-violating phases, provided squark masses lie around 13-17 TeV and the gluino mass…","keywords":["electric dipole moments","MSSM","Higgs mass","CP violation","SUSY breaking scale","gluino","squark","TeV scale physics"],"falsifier":"Compute $m_h$ for benchmark points BP1-BP4 using a full two-loop MSSM Higgs-mass calculation; if the correction shifts $m_h$ by more than about 1 GeV, those points no longer reproduce the observed 125 GeV mass. Alternatively, tighten the electron EDM limit by a factor of five and recompute the allowed regions, which would place the high-phase edge of the surviving parameter space above the new experimental bound.","tokens_in":13243,"feed_emoji":"⚛️","tokens_out":5727,"duration_ms":55269,"temperature":0.7,"pith_summary":"This paper asks whether the MSSM can simultaneously reproduce the observed 125 GeV Higgs mass and respect the measured upper limits on the electron, neutron, and proton electric dipole moments when the CP-violating phases are allowed to be of order one. The answer it argues is yes, but only in narrow corners of parameter space: the combined constraints push squark masses to roughly 13-17 TeV and the gluino to about 2.7 TeV. A reader should care because this links two independent observables, a particle discovered at the LHC and precision low-energy probes of new CP violation, to the scale where superpartners must live. It also shows that EDM experiments, which can run at much lower energies than colliders, provide a concrete window onto SUSY mass scales that colliders may never directly reach.","feed_headline":"Large CP phases survive if squarks sit at 13-17 TeV","feed_subtitle":"MSSM benchmarks show 125 GeV Higgs mass and current electron, neutron, and proton EDM limits can coexist.","key_machinery":"The load-bearing mechanism is the one-loop top-stop corrected Higgs effective potential, whose CP-violating phase dependence enters through the combination $\\gamma_t = \\alpha_t + \\theta_\\mu$ and induces phases $\\chi_1, \\chi_2$ in the Higgs VEVs. These corrections raise the lightest Higgs mass from below $M_Z$ to about 125 GeV and simultaneously produce the seven phase combinations that appear in the EDM amplitudes. The EDM analysis then combines one-loop gluino, chargino, and neutralino electric dipole operators, chromoelectric dipole operators, and the two-loop purely gluonic dimension-six operator to constrain the same soft masses.","core_discovery":"The paper's central claim is that the complete set of MSSM CP-violating phases can remain naturally large, of order one, while satisfying both the measured 125 GeV Higgs mass and the current experimental bounds on the electron, neutron, and proton EDMs. The mechanism is kinematic: the same multi-TeV squark masses that lift $m_h$ above $M_Z$ through top-stop radiative corrections also suppress the EDM loop contributions. The paper identifies seven independent phase combinations, built from gaugino phases, trilinear phases, the mu phase, and Higgs VEV phases, that enter the EDMs, and shows numerically that benchmark points with squarks near 13-17 TeV, a gluino at 2.7 TeV, and phases of order one reproduce $m_h \\approx 125$ GeV while keeping all three EDMs below their experimental limits.","pith_inferences":["If the electron EDM limit improves by roughly a factor of five, the allowed squark masses would likely shift above 20 TeV, pushing the scenarios further out of collider reach.","The seven phase combinations identified here should appear in any EDM analysis of the MSSM, suggesting a model-independent classification that could be applied to other CP-violating observables such as B-meson or muon physics.","All benchmark points feature a light neutralino at 0.20 TeV, so the viable scenarios imply a stable dark-matter candidate near the kinematic floor; relic-density and direct-detection calculations could test that corollary.","A full two-loop Higgs-mass calculation, which the paper does not include, could shift the quoted $m_h$ values by 1-2 GeV and would likely relocate the allowed regions or close them entirely."],"forward_implications":["Squark and stop masses must lie around 13-17 TeV, with the gluino near 2.7 TeV, in the parameter regions that survive both constraints.","Order-one CP-violating phases remain compatible with the current electron, neutron, and proton EDM bounds, so the MSSM does not require fine-tuned small phases.","The purely gluonic dimension-six contribution dominates the neutron and proton EDMs at all four benchmark points, while the electric and chromoelectric pieces interfere constructively or destructively depending on the phases.","The projected proton EDM sensitivity of 1-3 percent of the current limit would further probe or exclude the surviving regions, making proton EDM measurements a complementary test of multi-TeV SUSY.","EDM experiments can probe the existence of SUSY partners whose masses are too high for direct production at current colliders."],"supporting_citations":[{"why":"Supplies the current experimental upper limits on the electron, neutron, and proton EDMs that the benchmark points must satisfy.","marker":"[8]"},{"why":"Establishes the ATLAS observation of a 125 GeV Higgs-like boson that sets the Higgs-mass constraint.","marker":"[9]"},{"why":"Provides the CMS confirmation of the 125 GeV Higgs boson used as the target mass.","marker":"[10]"},{"why":"Gives the treatment of CP-violating phases in the one-loop effective potential that induces the Higgs VEV phases chi_1 and chi_2.","marker":"[15]"},{"why":"Supplies the notation and phase combinations used for the EDM calculations.","marker":"[16]"},{"why":"Provides the explicit formulas for quark and lepton EDMs, chromoelectric dipole moments, and the gluonic operator used in the analysis.","marker":"[17]"},{"why":"Justifies the dimensional-analysis estimates for the chromoelectric and purely gluonic contributions to the nucleon EDMs.","marker":"[18]"},{"why":"Defines the loop function H(z1,z2,zt) that appears in the purely gluonic dimension-six contribution.","marker":"[19]"},{"why":"Supplies the ATLAS search bounds on squarks and gluinos that the paper uses to argue the 13-17 TeV squark and 2.7 TeV gluino masses are above exclusion limits.","marker":"[20]"}],"fun_headline_variants":["Large CP phases survive with 13-17 TeV squarks","Heavy squarks allow large MSSM CP phases","MSSM: Higgs mass and EDMs tamed by heavy squarks","Order-one CP phases OK if squarks sit at 13-17 TeV"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The lightest Higgs mass is computed from the one-loop top-stop effective potential with no higher-order corrections and no estimated theory uncertainty, yet the paper quotes $m_h$ to 0.01 GeV; if two-loop corrections shift $m_h$ by 1-2 GeV, the benchmark points may no longer reproduce the measured value.","fun_headline_variants_meta":{"raw":{"variants":["Large CP phases survive with 13-17 TeV squarks","Heavy squarks allow large MSSM CP phases","MSSM: Higgs mass and EDMs tamed by heavy squarks","Order-one CP phases OK if squarks sit at 13-17 TeV"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000172,"raw_usage":{"total_tokens":1228,"prompt_tokens":853,"completion_tokens":375,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":469,"completion_tokens_details":{"reasoning_tokens":298}},"tokens_in":469,"tokens_out":375,"duration_ms":3356,"temperature":1.0,"reasoning_tokens":298,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-16T00:24:19.553364+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Compute $m_h$ for benchmark points BP1-BP4 using a full two-loop MSSM Higgs-mass calculation; if the correction shifts $m_h$ by more than about 1 GeV, those points no longer reproduce the observed 125 GeV mass. Alternatively, tighten the electron EDM limit by a factor of five and recompute the allowed regions, which would place the high-phase edge of the surviving parameter space above the new experimental bound.","supporting_citations":[{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Establishes the ATLAS observation of a 125 GeV Higgs-like boson that sets the Higgs-mass constraint."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Provides the CMS confirmation of the 125 GeV Higgs boson used as the target mass."},{"cited_title":"Ibrahim and P","cited_arxiv_id":null,"evidence_quote":"Gives the treatment of CP-violating phases in the one-loop effective potential that induces the Higgs VEV phases chi_1 and chi_2."},{"cited_title":"Ibrahim and P","cited_arxiv_id":null,"evidence_quote":"Supplies the notation and phase combinations used for the EDM calculations."},{"cited_title":"Ibrahim and P","cited_arxiv_id":null,"evidence_quote":"Provides the explicit formulas for quark and lepton EDMs, chromoelectric dipole moments, and the gluonic operator used in the analysis."},{"cited_title":"Lopez and D","cited_arxiv_id":null,"evidence_quote":"Justifies the dimensional-analysis estimates for the chromoelectric and purely gluonic contributions to the nucleon EDMs."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Defines the loop function H(z1,z2,zt) that appears in the purely gluonic dimension-six contribution."},{"cited_title":"Aad et al","cited_arxiv_id":null,"evidence_quote":"Supplies the ATLAS search bounds on squarks and gluinos that the paper uses to argue the 13-17 TeV squark and 2.7 TeV gluino masses are above exclusion limits."}],"review_version":1}