{"arxiv_id":"hep-ph/9803466","incoming":{"papers":72,"sentences":94,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0805.4186","title":"Reconciling Grand Unification with Strings by Anisotropic Compactifications","url":"/paper/0805.4186","section":"The RGEs for Anisotropic Orbifold Compactifications","sentence":"In particular the sum over the infinite tower of KK modes follows the regularization scheme of Dienes et al. [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":4,"quotes":[{"arxiv_id":"2007.02655","title":"U(1) mixing and the Weak Gravity Conjecture","url":"/paper/2007.02655","section":"Introduction","sentence":"This is merely two orders of magnitude above the proposals of TeV strings for solving the hierarchy problem [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2405.07463","title":"New Models of $SU(6)$ Grand Gauge-Higgs Unification","url":"/paper/2405.07463","section":"Conclusion","sentence":"This is because the multiplets in the 5D bulk respect $SU(6)$ symmetry in our GGHU, but those in [ref] respect only the SM gauge group.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2407.11160","title":"A New Non-Renormalization Theorem from UV/IR Mixing","url":"/paper/2407.11160","section":"Conclusions, discussion and future directions","sentence":"In Ref. [ref] , a purely field-theoretic analysis was performed — based on the results of Refs. [ref] — in which it was shown that although the accumulating effects of Kaluza-Klein states would generically convert a four-dimensional logarithmic gauge-coupling running into a higher-dimensional power-law running, this power-law growth could occasionally be cancelled in certain theories by the effects of switching from the true four-dimensional gauge coupling to an effective loop expansion parameter which is sensitive to the number of Kaluza-Klein levels that have been crossed at a given scale $μ$.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":23,"sentences":24,"quotes":[{"arxiv_id":"2505.08068","title":"Asymptotic grand unification in SO(10) with one extra dimension","url":"/paper/2505.08068","section":"Introduction","sentence":"Unlike the above 4D asymptotic safety scenarios, where UV fixed points arise due to intricate gauge-Yukawa interplay or pole structure in the large $N_f$ resummation function, the UV fixed point in 5D theories emerges from the contributions of Kaluza-Klein (KK) states to the running couplings when above the KK scale $M_KK$, which also called the compactification scale, i.e. when the compactified extra dimension becomes relevant [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"2107.05495","title":"Sculpting the Standard Model from low-scale Gauge-Higgs-Matter $E_8$ Grand Unification in ten dimensions","url":"/paper/2107.05495","section":"Gauge couplings evolution","sentence":"Typically, the usual logarithmic running is modified acquiring a power-law structure which depends on the number of extra compact dimensions as discussed in Refs. [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"0711.3012","title":"BlackMax: A black-hole event generator with rotation, recoil, split branes and brane tension","url":"/paper/0711.3012","section":"Introduction","sentence":"Models with TeV-scale quantum gravity [ref] offer very rich collider phenomenology.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1209.6239","title":"Renormalisation running of masses and mixings in UED models","url":"/paper/1209.6239","section":"The 5D MSSM","sentence":"Another useful model we shall consider is the 5D MSSM defined in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2407.11160","title":"A New Non-Renormalization Theorem from UV/IR Mixing","url":"/paper/2407.11160","section":"Implications for one-loop running: IR/UV limits, scale duality, and the absence of power-law running","sentence":"In general, for large-volume compactifications, it is a natural (ultimately field-theoretic) expectation that at energy scales exceeding the compactification scale, the accumulation of contributions from increasing numbers of Kaluza-Klein states running in loops will slowly deform an expected four-dimensional logarithmic running for a given amplitude into a power-law running, as consistent with the emergence of extra spacetime dimensions (or equivalently an increase in the effective dimensionality of the theory) in this limit [ref] .","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":65},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":{"arxiv_id":"hep-ph/9803466","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T19:33:24+00:00","loaded_at":"2026-10-28T01:03:31.239574+00:00","evidence":"some","account":[],"groups":[{"kind":"comparison","label":"Compares with it","papers":1,"entries":[{"p":1.0,"quote":{"text":"This is because the multiplets in the 5D bulk respect $SU(6)$ symmetry in our GGHU, but those in [ref] respect only the SM gauge group.","citing":"2405.07463","section":"Conclusion"},"citing":[{"self":false,"year":2024,"title":"New Models of $SU(6)$ Grand Gauge-Higgs Unification","arxiv_id":"2405.07463"}],"verified":true,"paraphrase":"Said its unification scale is different from this paper's, because its bulk multiplets respect SU(6) symmetry while those in this paper respect only the SM gauge group."}],"papers_all":4,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"comparison":4,"method_or_tool":1},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":8,"self_papers":7,"citing_papers":75,"sentences_read":9,"citing_sentences":98,"unambiguous_read":9,"typed_independent":4,"independent_papers":68,"by_kind_independent":{"comparison":3,"method_or_tool":1}},"input_sha256":"d60734ec36290f194c571a809a3ddc8b69f72e4447d40064007d80330383d7b3","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"1 later paper by other authors is listed below: 1 compared its own results with it."},"_links":{"html":"https://pith.science/paper/hep-ph/9803466"}}