{"id":"a1d052d2-df5a-4970-a25c-01f99da40c09","arxiv_id":"2412.14947","paper_version":1,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":4,"one_line_summary":"Combining inclusive and exclusive B-meson decay rates, the authors rule out B-Mesogenesis dark matter masses above 3 GeV and find lifetime ratios do not further constrain the model.","lead":"Using the ratio of inclusive to exclusive B meson decay rates, this paper derives a coupling-independent lower bound on B+ to proton plus dark baryon decays and finds that dark matter particles heavier than 3 GeV are excluded by BABAR data. The surviving low-mass window is directly testable by Belle II and LHCb.","discovery_kind":"new_application","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The 3 GeV exclusion boundary is set by the LO partonic width in Eq. (3.5), but that width's phase-space treatment is inconsistent with the stated hadronic threshold and highly sensitive to the b-mass scheme; the boundary may shift.","rationale":"The paper's central conclusion is the exclusion of mψ > 3 GeV via Eq. (3.10), where the unknown couplings cancel. The denominator Γ(b→duψ) is the LO free-quark width Eq. (3.5). The load-bearing issue is that this denominator is not reliable in the excluded region: it is a partonic phase-space integral with massless d/u quarks, while the physical final state must contain a proton of mass 0.94 GeV. The paper's own text notes the physical phase space 'vanishing at m_B+ − m_p', but Eq. (3.5) actually vanishes at mψ = m_b ≈ 4.47 GeV, showing that the threshold is being approximated rather than computed. At mψ ≈ 3 GeV the phase-space factor is very small and highly nonlinear, so modest changes in the b-quark mass (MSbar at 3 GeV vs pole mass) or the correct hadronic threshold can change the denominator by ~70% or more. That shift propagates linearly into the lower bound in Eq. (3.10) and can move the crossing with the BABAR limit by several hundred MeV, potentially eroding or sharpening the 3 GeV claim. The paper offers only an expectation, not an error estimate, for the validity of the inclusive width in this regime. The proposed concrete test—recomputing with the hadronic threshold and with the pole mass—would directly quantify this sensitivity. If the boundary is stable, the conditional acceptance stands; if it moves significantly, the paper's headline exclusion needs to be softened. We therefore keep the reader's CONDITIONAL verdict, since the concern is real but not yet demonstrated to invalidate the claim.","tokens_in":14986,"tokens_out":11768,"duration_ms":96320,"concrete_test":"Perform a sensitivity scan of the Eq. (3.10) lower bound over the two dominant phase-space ambiguities: (i) replace ρ = (mψ/m_b)^2 with the hadronic-threshold variant ρ = (mψ/(m_B+ − m_p))^2, and (ii) change m_b from the quoted MSbar value 4.47 GeV to the pole mass 4.78 GeV. Re-determine the intersection of the lower bound with the BABAR 90% CL upper limit in Fig. 5 for each variant. If the excluded mass boundary moves by more than ~250 MeV in either case, the headline claim that mψ > 3 GeV is excluded is not robust to the partonic phase-space treatment.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The paper's central exclusion of mψ > 3 GeV rests on Eq. (3.10), where the denominator is the LO free-quark width Γ3(b→duψ) of Eq. (3.5). The text identifies the physical threshold at m_B+ − m_p = 4341.14 MeV, but Eq. (3.5) with ρ = mψ^2/m_b^2 and the quoted m_b(3 GeV) = 4.47 GeV has no proton-mass threshold and vanishes only at mψ = m_b ≈ 4.47 GeV. The partonic phase-space factor is computed for massless d/u quarks, so it does not close at the physical B+ → p + ψ + X threshold. At mψ ≈ 3 GeV, the energy release to the hadronic system is only ~1.3 GeV and the phase-space factor is already very small (ρ ≈ 0.45), making the denominator in Eq. (3.10) extremely sensitive to the threshold treatment and to the b-quark mass scheme. The paper uses the MSbar mass at a low scale (4.47 GeV); using a pole mass (≈4.78 GeV) changes the phase-space factor at mψ = 3 GeV by roughly 70%, which propagates directly into the lower bound on Br(B+→pψ) and can move the crossing point with the BABAR upper limit. The paper's own caveat that the inclusive approach is expected to hold 'at masses considerably lower than that bound' applies precisely to the region above 3 GeV where the exclusion is drawn; the boundary is therefore supported by an unquantified expectation rather than a quantified error estimate.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript examines constraints on the B-Mesogenesis model from the new b-quark decay channels b -> d u psi. It computes the leading-order free-quark inclusive width Gamma3(b -> d u psi) in Eq. (3.5), forms the coupling-independent ratio in Eq. (3.10) with the LCSR exclusive width for B+ -> p+ psi, and compares the resulting lower bound on Br(B+ -> p+ psi) with the BABAR upper limit. The paper concludes that dark-antibaryon masses above 3 GeV are excluded, leaving a small allowed window below 3 GeV that near-future experiments can test. It also evaluates dimension-six spectator contributions to tau(B+)/tau(Bd) and finds that lifetime ratios currently impose no additional constraints.","tokens_in":15292,"tokens_out":7098,"duration_ms":59175,"significance":"The construction of the ratio in Eq. (3.10) is clean and genuinely useful: the unknown couplings G(d) or G(b) cancel, turning a model-dependent exclusive prediction into a testable lower bound that depends only on m_psi and known inputs. The paper also provides a compact compendium of lifetime-ratio contributions for both operator types, which will be useful for future work. The headline 3 GeV exclusion is, however, built on a leading-order partonic phase-space treatment whose hadronic threshold behaviour and mass-scheme sensitivity are not quantified, and on an LCSR extrapolation whose uncertainty in the relevant kinematic region is not assessed. The result is therefore a plausible and interesting constraint rather than a demonstrated exclusion.","major_comments":[{"comment":"The denominator of Eq. (3.10) is the leading-order free-quark width Gamma3(b -> d u psi) of Eq. (3.5), computed with massless d and u quarks. The text after Eq. (3.5) identifies the phase-space endpoint as m_B+ - m_p = 4341.14 MeV and says the inclusive approach is expected to hold 'at masses considerably lower than that bound,' i.e. below about 3 GeV. But Eq. (3.5) actually vanishes at m_psi = m_b, not at the hadronic threshold, and the 3 GeV boundary used for the exclusion lies outside the region where the authors state the inclusive approach should be trusted. The exclusion of m_psi > 3 GeV therefore rests on an unquantified expectation about the validity of Gamma3 in exactly the mass range where the bound is drawn. Please quantify the hadronic or higher-order HQE corrections, or model the physical threshold consistently at the hadronic level, before using the 3 GeV boundary as a firm exclusion.","section":"Sec. 3.1, Eq. (3.5) and Sec. 4.1"},{"comment":"The numerical value of Gamma3 in Eq. (3.5) is very sensitive to the b-quark mass scheme in the region near m_psi = 3 GeV. With m_b(3 GeV) = 4.47 GeV one has rho = m_psi^2/m_b^2 ≈ 0.45 and the phase-space factor is approximately 0.03; using a pole mass of about 4.78 GeV changes the factor to approximately 0.05, a change of order 60 percent in the denominator of Eq. (3.10). Since the lower bound on Br(B+ -> p+ psi) is inversely proportional to Gamma3, this shifts the crossing point with the BABAR upper limit and changes the excluded mass range. The paper should provide a scheme and scale variation of m_b, or justify why the low-scale MSbar mass is the appropriate choice for this phase-space region.","section":"Sec. 3.1, Eq. (3.5) and Table 1"},{"comment":"The exclusive width in Eq. (3.7) uses LCSR form factors whose z-expansion in Eq. (3.8) is fitted at low q^2. For the boundary value m_psi = 3 GeV one needs q^2 = 9 GeV^2, which is well above the LCSR fit region and corresponds to a non-negligible fraction of t_+ ≈ 38.7 GeV^2. The slope parameters in Table 1 carry uncertainties, but the uncertainties of the form-factor extrapolation into this kinematic region are not validated, for example by varying the truncation order of the z-expansion or comparing with an alternative parametrization. The lower bound in Eq. (3.10) inherits this unquantified extrapolation error, so the location of the 3 GeV boundary is not yet fully controlled.","section":"Sec. 3.2, Eqs. (3.8)-(3.10)"}],"minor_comments":[{"comment":"The phrase 'the LO-QCD term of the dimension 3 decay rate' is imprecise; this is the leading term Gamma3 of the HQE, not a 'dimension 3 decay rate.' Please reword.","section":"Sec. 3.1"},{"comment":"The notation in Eq. (3.10) uses an equality sign after 'Br(B+ -> psi BM) > 10^-4'; the second line should be written as a separate definition of the lower bound, using '>' or '=' with a clarifying phrase, to avoid suggesting an exact identity.","section":"Eq. (3.10)"},{"comment":"There are several presentation issues: 'The the remaining allowed region' is a typo; 'B-Mesogensis' should be 'B-Mesogenesis'; and the caption of Fig. 5 should distinguish clearly between the model lower bound (red) and the experimental upper limit (blue) as in the text.","section":"Sec. 4.1 and Fig. 5"},{"comment":"The function named 'Källen' should be spelled 'Källén'.","section":"Sec. 3.2"},{"comment":"Reference [16] is the 2022 HFLAV arXiv preprint; consider citing the most recent published HFLAV update or the latest PDG value for the lifetime ratio.","section":"References"}],"recommendation":"major_revision","confidential_remarks":"The central ratio idea is sound and the paper is close to publishable, but the headline exclusion of m_psi > 3 GeV is currently supported by an unquantified leading-order partonic phase-space treatment and an unvalidated LCSR extrapolation in exactly the region where the boundary lies. I would recommend major revision rather than rejection, because the issues are local and can be addressed by adding a quantified scheme/threshold uncertainty analysis and softening the exclusion claim accordingly. The authors should also clarify the relation of their Gamma3 result to the semi-inclusive calculation in Ref. [15]."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"The central idea here is good: taking the ratio of the exclusive B+ → p+ψ rate to the new inclusive b → duψ width cancels the unknown couplings, and that lets the authors turn the baryogenesis requirement Br > 10^-4 into a lower bound on the exclusive branching fraction as a function of mψ. This is the first full inclusive calculation for this channel, and the combination with the LCSR exclusive predictions is new. The lifetime-ratio analysis is also a useful null result, though the analytic coefficient listings in Sec. 3.3 arrive without derivation, which makes the cancellation of the SM uncertainties hard to verify without reproducing the calculation yourself.\n\nThe soft spot is the boundary of the excluded region. Eq. (3.5) is the muon-decay phase-space function with massless d/u quarks, so it vanishes at mψ = m_b, not at the hadronic threshold m_B − m_p = 4.341 GeV that the text invokes. The paper even writes the phase space vanishes at that hadronic threshold, which is not what the formula does. At mψ = 3 GeV the partonic phase-space factor is already small, and it roughly doubles if you use a pole b-quark mass instead of the MSbar(3 GeV) value. That propagates directly into the lower bound on Br(B+ → pψ) and shifts where it crosses the BABAR upper limit. The paper's own caveat that the inclusive approach is expected to hold at masses considerably lower than the hadronic threshold applies precisely to the region above 3 GeV where the exclusion is drawn. The LO truncation of the HQE is flagged honestly, but it is an expectation, not a quantified error estimate.\n\nThat said, the central ratio method is sound and the bound is not circular: no quantity is fitted to data to produce the constraint. The LCSR form factors carry large uncertainties, and the authors propagate them, but the mass-scheme and threshold issue is the one that could move the headline number by more than the stated error bars.\n\nWho is this for? Anyone working on B-Mesogenesis or on dark-baryon searches at Belle II and LHCb. The paper deserves a serious referee. I would send it to review, but with a clear request to re-examine the threshold treatment and to provide a pole-mass cross-check before the numerical claim is accepted.","headline":"A clean coupling-independent ratio gives a genuinely new constraint on B-Mesogenesis, but the headline 3 GeV exclusion rests on a phase-space treatment that is internally inconsistent and more mass-scheme sensitive than the paper admits.","tokens_in":15930,"tokens_out":2855,"would_cite":true,"duration_ms":27900,"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":"By taking the ratio of inclusive and exclusive B decays so unknown couplings cancel, the paper turns the minimal B-Mesogenesis branching requirement into a mass bound that excludes dark particles above 3 GeV and leaves a small window…","keywords":["B-Mesogenesis","dark matter","baryogenesis","B meson decays","heavy quark expansion","inclusive decay width","light-cone sum rules","dark antibaryon"],"falsifier":"A future measurement is the cleanest check: if a B-factory search reaches the predicted lower bound and observes $B^+ \\to p^+ \\psi$ events with reconstructed $m_\\psi$ above 3 GeV, the exclusion claim is wrong; conversely, excluding the surviving $m_\\psi < 3$ GeV window would kill the model. On the theory side, computing the next perturbative or $1/m_b$ correction to $\\Gamma(b \\to d u \\psi)$ and checking whether the central curve of Figure 5 moves by more than the LCSR form-factor uncertainty would settle whether the 3 GeV boundary is stable.","tokens_in":14688,"feed_emoji":"🌌","tokens_out":6898,"duration_ms":53484,"temperature":0.7,"pith_summary":"The B-Mesogenesis model tries to solve two cosmological problems at once: it generates the matter-antimatter asymmetry through CP violation in B meson mixing and supplies dark matter as a stable dark antibaryon produced in new b-quark decays. The authors' goal is to find how much room the model still has. They compute the inclusive rate for b -> d u psi at leading order in the heavy quark expansion and combine it with the existing light-cone sum-rule prediction for the exclusive decay B+ -> p+ psi. The ratio of the two rates eliminates the unknown new-physics couplings, which turns the model's minimal requirement Br(B+ -> psi BM) > $10^{-4}$ into a pure lower bound on Br(B+ -> p+ psi) as a function of the dark particle mass m_psi. Compared with the BABAR upper limit, this bound excludes m_psi above 3 GeV and leaves only a small window below 3 GeV that near-future experiments can test.","feed_headline":"B-Mesogenesis dark matter must weigh under 3 GeV","feed_subtitle":"A coupling-independent ratio of B decay widths rules out heavier dark particles and leaves a small window to test.","key_machinery":"The load-bearing object is the ratio in Eq. (3.10): $\\mathrm{Br}(B^+ \\to p^+ \\psi) > 10^{-4}\\, \\Gamma(B^+ \\to p^+ \\psi)/\\Gamma(b \\to d u \\psi)$. It converts the model's minimal inclusive requirement into an exclusive branching-fraction bound because the effective four-fermion couplings $|G_{(d)}|^2$ or $|G_{(b)}|^2$ appear identically in both widths and cancel. The inclusive width is the LO-QCD dimension-three heavy-quark-expansion result $\\Gamma_3(b \\to d u \\psi) = |G|^2 m_b^5/(16\\cdot 192\\pi^3)\\,(1 - 8\\rho + 8\\rho^3 - \\rho^4 - 12\\rho^2\\log\\rho)$ with $\\rho = m_\\psi^2/m_b^2$, which is the muon-decay phase-space function with the coupling rescaled; the exclusive width uses the LCSR form factors $F$ and $\\tilde{F}$ from Ref. [5] extrapolated by a $z$-expansion. The comparison in Section 4.1 turns the ratio into a curve in $m_\\psi$ that can be cut by the BABAR bound.","core_discovery":"On the paper's own terms, the central discovery is a coupling-independent mass bound. Requiring the B-Mesogenesis inclusive branching fraction Br(B+ -> psi BM) to exceed $10^{-4}$, and using the identity Br(B+ -> p+ psi) > $10^{-4}$ Gamma(B+ -> p+ psi)/Gamma(b -> d u psi), the unknown couplings G(d) or G(b) cancel. With the LO-QCD free-quark width Gamma_3(b -> d u psi) computed here and the LCSR exclusive width taken from the literature, the resulting lower bound on Br(B+ -> p+ psi) as a function of m_psi can be confronted with the BABAR 90% confidence upper limit. The authors conclude that dark antibaryon masses above 3 GeV are excluded, while a small allowed region below 3 GeV remains. They also find that the model's effect on tau(B+)/tau(Bd) is too small to be discriminated with current precision.","pith_inferences":["The paper leaves implicit that the same ratio trick could be applied to other exclusive channels, such as $B \\to \\Lambda_c \\psi$ or $\\Lambda_b \\to p \\psi$, once light-cone-sum-rule predictions for them exist; each channel would provide an independent check of the $m_\\psi = 3$ GeV boundary.","A testable extension not pursued here is a scan of the surviving $m_\\psi < 3$ GeV region using the $m_\\psi$ dependence of the predicted branching fraction, since a future measurement that resolves this dependence could distinguish the two operator versions of the model, whose form factors differ.","The authors do not spell out that, because the inclusive width has exactly the phase-space structure of muon decay, the boundary's sensitivity to $m_b$ is analytic: a future shift in the $b$-quark mass at the 3 GeV scale moves the excluded mass by a definite, calculable amount without a new QCD computation."],"forward_implications":["If the central bound is correct, dark antibaryon masses above 3 GeV are already ruled out, so viable B-Mesogenesis requires $m_\\psi$ below 3 GeV.","The surviving parameter space is small and near current sensitivity, so a future B-factory dataset can either confirm or exclude the model without new theoretical input.","The lifetime ratio $\\tau(B^+)/\\tau(B_d)$ cannot discriminate the model at present: the predicted shift stays inside the Standard Model uncertainty for all $m_\\psi$.","Because the couplings cancel in the ratio, the bound tightens automatically as the LCSR form factors and the inclusive width improve, independent of the unknown $G_{(d)}$ and $G_{(b)}$."],"supporting_citations":[{"why":"Supplies the B-Mesogenesis model, the minimal inclusive branching requirement Br(B -> psi BM) > 10^-4, and the coupling constraints used for the lifetime plots.","marker":"[1]"},{"why":"First LCSR calculation of B+ -> p+ psi, whose form-factor framework the paper adopts for the exclusive width.","marker":"[4]"},{"why":"Provides the higher-twist LCSR form factors and slope parameters for B+ -> p+ psi used to evaluate the exclusive rate.","marker":"[5]"},{"why":"Earlier calculation of semi-inclusive B decays into a dark antibaryon and baryons, the context the paper's full inclusive width extends.","marker":"[15]"},{"why":"The BABAR upper limit on Br(B+ -> psi p+) that, combined with the lower bound, excludes m_psi above 3 GeV.","marker":"[46]"}],"fun_headline_variants":["Dark matter from B-Mesogenesis must be under 3 GeV","B-Mesogenesis dark matter constrained below 3 GeV","Coupling-independent bound: dark baryons below 3 GeV","B-Mesogenesis survives only for light dark baryons"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The bound assumes that the leading-order free-quark heavy-quark-expansion width $\\Gamma_3(b \\to d u \\psi)$ accurately equals the full inclusive rate $\\Gamma(B^+ \\to \\psi BM)$, and that the light-cone-sum-rule form factors can be extrapolated reliably to the kinematic endpoint; the paper states the first as an expectation (\"We expect the inclusive approach to hold at masses considerably lower than that bound\") rather than a quantified error estimate.","fun_headline_variants_meta":{"raw":{"variants":["Dark matter from B-Mesogenesis must be under 3 GeV","B-Mesogenesis dark matter constrained below 3 GeV","Coupling-independent bound: dark baryons below 3 GeV","B-Mesogenesis survives only for light dark baryons"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000162,"raw_usage":{"total_tokens":1197,"prompt_tokens":860,"completion_tokens":337,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":476,"completion_tokens_details":{"reasoning_tokens":267}},"tokens_in":476,"tokens_out":337,"duration_ms":3206,"temperature":1.0,"reasoning_tokens":267,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-11T11:45:45.077489+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"A future measurement is the cleanest check: if a B-factory search reaches the predicted lower bound and observes $B^+ \\to p^+ \\psi$ events with reconstructed $m_\\psi$ above 3 GeV, the exclusion claim is wrong; conversely, excluding the surviving $m_\\psi < 3$ GeV window would kill the model. On the theory side, computing the next perturbative or $1/m_b$ correction to $\\Gamma(b \\to d u \\psi)$ and checking whether the central curve of Figure 5 moves by more than the LCSR form-factor uncertainty would settle whether the 3 GeV boundary is stable.","supporting_citations":[],"review_version":1}