{"arxiv_id":"1102.0269","incoming":{"papers":12,"sentences":28,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1808.04854","title":"Dark matter bound states via emission of scalar mediators","url":"/paper/1808.04854","section":"Radiative transition amplitude","sentence":"This can be done starting from the off-shell amplitude as described in [ref] (see also [ref] for a brief summary), or by adopting an effective field theory approach [ref] .[For a comparison of quantum and classical approaches, see [ref] .]","intent_p":0.91,"contests_p":null},{"arxiv_id":"1805.01200","title":"Radiative bound-state formation in unbroken perturbative non-Abelian theories and implications for dark matter","url":"/paper/1805.01200","section":"The non-relativistic Hamiltonian from effective field theory","sentence":"Here, we will follow the conventions of [ref] .","intent_p":0.93,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1111.4486","title":"NNLL top-antitop production at threshold","url":"/paper/1111.4486","section":"Current renormalization","sentence":"The ultrasoft contribution to $ξ^NNLL_m$ determined in Ref. [ref] reads[The form of Eq. [ref] implies the convention that the $z$ and $ω=1/(2-z)$ parameters in $ξ^NLL$, as given in Ref. [ref] , are according to Eq. [ref].] [equation] with [equation] Together with $ξ^NNLL_nm$ from Ref. [ref] it gives the dominant contribution to the NNLL running of $c_1(ν)$ (in the $$ scheme).","intent_p":0.85,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":3,"quotes":[{"arxiv_id":"1805.01200","title":"Radiative bound-state formation in unbroken perturbative non-Abelian theories and implications for dark matter","url":"/paper/1805.01200","section":"The non-relativistic Hamiltonian from effective field theory","sentence":"We will demonstrate that (a) we recover the same sign as in [ref] using our conventions <ref>, and that (b) this sign disagrees with the result of [ref] .","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":22},"outgoing":{"papers":25,"sentences":96,"groups":[{"kind":"contests","label":"Contests","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-ph/0307376","title":"Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD","url":"/paper/hep-ph/0307376","section":"Introduction","sentence":"At LL order it has the form [equation] The first term arises from soft renormalization and the second represents the evolution from ultrasoft UV divergences.[ There is a misprint in Eq.(4) of Ref. 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[ref] and can be read off Eq. [ref].","intent_p":0.92,"contests_p":null},{"arxiv_id":"hep-ph/0001286","title":"Top-Antitop Pair Production close to Threshold: Synopsis of recent NNLO Results","url":"/paper/hep-ph/0001286","section":"Introduction","sentence":"The next-to-next-to-leading order (NNLO) predictions in this “fixed-order” approach were estimated to have a normalization uncertainty of order $20%$ [ref] .","intent_p":0.85,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":4,"sentences":10,"quotes":[{"arxiv_id":"1101.3269","title":"Next-to-leading ultrasoft running of the heavy quarkonium potentials and spectrum: Spin-independent case","url":"/paper/1101.3269","section":"Conclusion","sentence":"The equivalence of the results obtained in Ref. [ref] and the ones in this work (and in Refs. [ref] ) is technically non-trivial and indicates that the structural differences in the vNRQCD and pNRQCD formulations might not affect the description of purely ultrasoft effects.","intent_p":0.98,"contests_p":null},{"arxiv_id":"hep-ph/0611292","title":"Two-Loop Ultrasoft Running of the O(v^2) QCD Quark Potentials","url":"/paper/hep-ph/0611292","section":"Conclusion","sentence":"The equivalence of the results obtained in Ref. [ref] and the ones in this work (and in Refs. [ref] ) is technically non-trivial and indicates that the structural differences in the vNRQCD and pNRQCD formulations might not affect the description of purely ultrasoft effects.","intent_p":0.98,"contests_p":null},{"arxiv_id":"hep-ph/0209340","title":"Ultrasoft Renormalization in Non-Relativistic QCD","url":"/paper/hep-ph/0209340","section":"LL Calculation","sentence":"Adding them to the $$ diagrams [ref] a-c gives [equation] The result is exactly the same as obtained in Refs. [ref] where Coulomb gauge has been used.","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-ph/0003107","title":"Running of the heavy quark production current and 1/k potential in QCD","url":"/paper/hep-ph/0003107","section":"LL Calculation","sentence":"Adding them to the $$ diagrams [ref] a-c gives [equation] The result is exactly the same as obtained in Refs. [ref] where Coulomb gauge has been used.","intent_p":1.0,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-ph/0209340","title":"Ultrasoft Renormalization in Non-Relativistic QCD","url":"/paper/hep-ph/0209340","section":"Renormalization Procedure","sentence":"As demonstrated in Ref. [ref] the additional potential loop entails the renormalization of the $O_ki^(1,T)$ sum operators instead of the potentials in Eq. 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[ref] indicate other sum operators [ref] which we, however, do not need to consider in this work.","intent_p":0.93,"contests_p":null},{"arxiv_id":"hep-ph/0003107","title":"Running of the heavy quark production current and 1/k potential in QCD","url":"/paper/hep-ph/0003107","section":"Theoretical Setup","sentence":"It consists of three mayor parts [ref] , [equation] containing kinetic terms and ultrasoft interactions ($L_u$), potential interactions ($L_p$) and interactions involving soft degrees of freedom ($L_s$), respectively.","intent_p":0.96,"contests_p":null}]}],"unlabelled_sentences":67},"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. 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