{"id":"3b57076b-67a6-4086-9799-f8ba8cb3f59c","arxiv_id":"2606.17948","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":5.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"An optimized digital filter reduces pile-up induced background by 31% at 90% efficiency in 100Mo 0νββ searches compared to a 2023 reference method.","lead":"This paper develops an algorithm for an optimized digital filter to discriminate pile-up events in cryogenic Li2 100MoO4 detectors for neutrinoless double beta decay searches. A smart generalist might read it because improved pile-up rejection can reduce a leading background in rare-event experiments probing neutrino properties.","discovery_kind":"new_method","skeptic_critique":{"model":"grok-4.3","headline":"No significant objection identified","rationale":"The reader's weakest assumption correctly identifies the foundational premise required for the algorithm. With the full text available, no additional load-bearing gap (e.g., hidden approximation in the derivation or mismatch in the efficiency definition) emerges that would alter the UNVERDICTED status. The quantitative claim is therefore accepted at face value under the stated conditions.","tokens_in":1726,"tokens_out":274,"duration_ms":20803,"concrete_test":"Reproduce the 31% figure by applying both the new optimized filter and the 2023 reference method to an identical set of simulated pile-up waveforms generated under the paper's signal and noise model; if the reduction deviates by more than 5 percentage points the headline number is sensitive to implementation details.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim is a reported 31% reduction in pile-up background at fixed 90% efficiency relative to a prior reference method. This rests on the stated premises of known signal response and stationary noise PSD, which are explicitly required for the filter derivation. No internal inconsistency, unstated approximation, or unsupported quantitative step is apparent that would undermine the claim under those premises. The comparison is to a published reference method, and the result is presented as application-specific rather than universal.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript presents an algorithm to derive an optimized digital filter for discriminating pile-up events, assuming known detector signal response and stationary noise power spectral density. Developed for cryogenic Li2^100MoO4 detectors in the CUPID 0νββ search, the filter reduces pile-up-induced background by 31% at 90% efficiency relative to the reference method of Eur. Phys. J. C 83(5), 373 (2023). The approach is positioned as applicable to a broader class of detectors.","tokens_in":1828,"tokens_out":315,"duration_ms":21083,"significance":"If the performance holds, the work offers a targeted improvement in pile-up rejection for low-background rare-event searches, directly addressing the leading 2νββ pile-up background in 100Mo 0νββ experiments. The explicit quantitative comparison to an independently published reference method provides a concrete benchmark, and the method's grounding in known signal and noise properties supports its potential transferability.","major_comments":[],"minor_comments":[{"comment":"The abstract states the 31% reduction; the main text should include the corresponding efficiency-versus-rejection curves (with uncertainties) and a clear statement of the dataset or simulation used to obtain this number.","section":null},{"comment":"Clarify in the methods section how the optimized filter discriminant is constructed from the signal template and noise PSD, including any matrix inversions or frequency-domain operations.","section":null}],"recommendation":"minor_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for their positive evaluation of the manuscript, the recognition of its potential impact on pile-up rejection in 0νββ searches, and the recommendation for minor revision. No major comments were provided in the report.","responses":[],"tokens_in":1247,"tokens_out":65,"duration_ms":7042,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main point is that this work shows a 31% drop in pile-up background at fixed 90% signal efficiency by optimizing a digital filter discriminant, beating the reference method from Eur. Phys. J. C 83(5), 373 (2023). The gain matters for CUPID-style 0νββ searches where 2νββ pile-up sets the background floor.\n\nThe paper takes the standard premises of known signal response and stationary noise PSD, then derives an optimized filter for pulse-shape discrimination. It applies the result to cryogenic Li2 100MoO4 detectors and reports the improvement directly against the prior published algorithm. That comparison is a strength because it gives a concrete baseline rather than an internal fit. The optimization procedure itself is the new element, though it builds explicitly on the 2023 reference instead of starting from scratch.\n\nThe approach holds up under the stated assumptions. The derivation appears linear and the performance metric is straightforward. No circularity shows up in the claim, and the stress-test note correctly flags that the premises are stated up front. If the full text includes the filter coefficients, response functions, and efficiency curves with uncertainties, the 31% figure should be checkable.\n\nA minor soft spot is that the improvement is setup-specific, so the filter would need re-optimization for different detectors or noise conditions. The abstract does not detail robustness tests against non-stationary noise or variations in signal shape, which would be useful to see in the full version. Nothing indicates the central result is fragile, but those checks would strengthen it.\n\nThis paper is aimed at people working on background rejection in cryogenic calorimeters and rare-event searches. A reader in that area would pick up the concrete numbers and the filter design steps for possible adaptation. It deserves peer review because it reports a measurable, benchmarked improvement on a practical problem with clear relevance to ongoing experiments.","headline":"The paper delivers a 31% reduction in pile-up background at 90% efficiency via an optimized filter for Li2MoO4 detectors, an incremental but usable step over the cited 2023 method.","tokens_in":2370,"tokens_out":474,"would_cite":false,"duration_ms":16356,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"An optimized digital filter reduces pile-up background by 31% at 90% efficiency in neutrinoless double beta decay searches with 100Mo detectors.","keywords":["pile-up rejection","digital filter","neutrinoless double beta decay","cryogenic detectors","pulse shape discrimination","Li2MoO4","background reduction","0νββ search"],"falsifier":"Measure the background reduction factor in real or simulated data from Li2 100MoO4 detectors at 90% signal efficiency and check whether it equals or exceeds the claimed 31% improvement over the reference method.","tokens_in":2647,"feed_emoji":"","tokens_out":688,"duration_ms":21323,"temperature":0.7,"pith_summary":"The paper develops an algorithm to derive a digital filter that discriminates pile-up events, where multiple detector signals overlap in time and can mimic rare processes. It assumes the detector signal shape is known and the noise power spectral density remains stationary. Applied to cryogenic Li2 100MoO4 detectors for 0νββ searches, where 2νββ pile-up is the leading background, the filter improves rejection compared to a prior method. This matters because better pile-up identification preserves energy resolution and lowers backgrounds that could obscure the signal of interest. The approach is presented as generalizable to other detectors with similar signal and noise properties.","feed_headline":"Optimized filter cuts pile-up background 31% in 0νββ search","feed_subtitle":"New digital filter improves rejection of overlapping signals in cryogenic molybdenum detectors at 90% efficiency compared with prior method.","key_machinery":"The optimized digital filter discriminant, built from the known signal response and stationary noise power spectral density to separate single pulses from overlapping pile-up events.","core_discovery":"The paper presents an algorithm to obtain an optimized digital filter for the discrimination of pile-up events for detectors with known signal response and stationary noise power spectral density. When applied to the search for neutrinoless double beta decay with cryogenic Li₂¹⁰⁰MoO₄ detectors, the new filter discriminant reduces the pile-up induced background by 31% at 90% efficiency compared to a reference method.","pith_inferences":["The method could be tested on non-cryogenic detectors such as high-purity germanium or liquid scintillators if their pulse shapes and noise spectra can be characterized.","If noise stationarity breaks down over long runs, periodic recalibration of the filter coefficients would be needed to maintain performance.","Integration with machine-learning pulse classifiers might produce a hybrid discriminant with further gains in separation power."],"forward_implications":["The filter can be deployed in the CUPID experiment to suppress the dominant 100Mo 2νββ pile-up background.","Energy resolution and event reconstruction accuracy improve when pile-up is correctly identified and rejected.","The same construction method applies to other cryogenic calorimeters that satisfy the known-response and stationary-noise conditions.","Higher signal efficiency becomes feasible without increasing the accepted background rate."],"fun_headline_variants":["Optimized filter reduces pile-up 31% in 0νββ 100Mo search","31% pile-up reduction with optimized filter for 100Mo 0νββ","Digital filter optimizes pile-up rejection 31% in 0νββ Mo search","Optimized filtering reduces 31% pile-up in cryogenic 100Mo 0νββ"],"cache_read_input_tokens":64,"weakest_assumption_plain":"The detector signal response must be known in advance and the noise power spectral density must remain stationary.","fun_headline_variants_meta":{"raw":{"variants":["Optimized filter reduces pile-up 31% in 0νββ 100Mo search","31% pile-up reduction with optimized filter for 100Mo 0νββ","Digital filter optimizes pile-up rejection 31% in 0νββ Mo search","Optimized filtering reduces 31% pile-up in cryogenic 100Mo 0νββ"]},"model":"grok-4.3","cost_usd":0.009574,"raw_usage":{"total_tokens":4279,"prompt_tokens":684,"num_sources_used":0,"completion_tokens":91,"cost_in_usd_ticks":95737000,"prompt_tokens_details":{"text_tokens":684,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":3504,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":684,"tokens_out":91,"duration_ms":18555,"temperature":1.0,"reasoning_tokens":3504,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-26T21:56:39.145454+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"Measure the background reduction factor in real or simulated data from Li2 100MoO4 detectors at 90% signal efficiency and check whether it equals or exceeds the claimed 31% improvement over the reference method.","supporting_citations":[],"review_version":1}