{"arxiv_id":"hep-ph/9807241","incoming":{"papers":38,"sentences":58,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":5,"sentences":6,"quotes":[{"arxiv_id":"2205.15326","title":"Renormalization group effects in astrophobic axion models","url":"/paper/2205.15326","section":"RGEs for axion EFTs","sentence":"In this basis the RGEs read: [equation] where [equation] Note that the $c_A$ ($A = G,W,B$) Wilson coefficients in eq:Xdef do not run, since in the normalization of eq:LaGKRH12 the scale dependence of the operator $a F^AF̃^A$ is accounted for by the running of the gauge couplings [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"1107.3391","title":"Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders","url":"/paper/1107.3391","section":"Alternative approach to virtual corrections","sentence":"Now the (Lorentz) scalar amplitude $A^ab_gg→A$ can be obtained from $A_gg→A,αβ^μνρσ,ab$ via the projector $P^αβ_μνρσ$ [ref] :[Note that the formulae presented in Ref. [ref] apply to the coefficient function of the effective theory whereas here we invesigate the virtual corrections in the full theory.] [equation] In the actual calculations we use Eq. ([ref]) in the initial diagram, then drop $ϵ_μνρσ$ and obtain $A_gg→A,αβ^μνρσ,ab$.","intent_p":0.93,"contests_p":null},{"arxiv_id":"2306.10170","title":"Two-loop helicity amplitudes for $V+$jet production including axial vector couplings to higher orders in $\\epsilon$","url":"/paper/2306.10170","section":"Checks and results","sentence":"The IR poles of the pseudoscalar amplitudes are removed as described in section [ref], while the renormalisation of $α_s$ and the gluonic operator [ref] combine to give [equation] for the removal of UV poles from the bare one-loop amplitude $ϕ^(1)$.","intent_p":0.89,"contests_p":null},{"arxiv_id":"1710.09231","title":"$\\gamma_{5}$ in FDH","url":"/paper/1710.09231","section":"Alternative definition and bare results for $γ_5^BM$","sentence":"Following Ref. [ref] , we write, for example, the (all-order) contribution of operator $O_^$ to the quark form factor as [All other form factors involving $ε$ pseudotensors are treated in the same way.","intent_p":0.88,"contests_p":null},{"arxiv_id":"2106.05038","title":"FlexibleDecay: An automated calculator of scalar decay widths","url":"/paper/2106.05038","section":"Special treatment of $Φ→g g$","sentence":"For the CP­/odd Higgs $A$ we only implement the leading terms from Refs. [ref] in the heavy mass expansion:","intent_p":0.8,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1304.6409","title":"Ultraviolet asymptotics of glueball propagators","url":"/paper/1304.6409","section":"Perturbative check of the universal behavior of correlators","sentence":"In this section we obtain the explicit form of the three-loop correlators of $tr F^2$ and of $tr FF̃$ starting from their imaginary parts that have been computed in [ref] [ref] in the $MS$ scheme.","intent_p":0.95,"contests_p":null},{"arxiv_id":"0807.1008","title":"Two-Loop Electroweak Corrections to the A^0 gamma gamma and A^0 g g Couplings of the CP-Odd Higgs Boson","url":"/paper/0807.1008","section":"Discussion","sentence":"The $𝒪(τ_t^0)$ term is also known at $𝒪(α_s^2)$, where it is still as large as 23% [ref] .","intent_p":0.8,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1312.1350","title":"Yang-Mills mass gap, Floer homology, glueball spectrum, and conformal window in large-N QCD","url":"/paper/1312.1350","section":"Constraints on any solution of the problem of Yang-Mills mass gap","sentence":"Muscinelli we have checked [ref] the aforementioned asymptotic estimates for the scalar, pseudoscalar and $ASD$ Euclidean glueball propagator (they correspond to the case $γ_0=2β_0)$ by means of a very remarkable three-loop perturbative computation by Chetyrkin et al. [ref] , that sums up about $800$ Feynman diagrams [The earlier two-loop computation was performed in [ref] .], by comparing the perturbative computation re-expressed in terms of the two-loop running coupling with the actual asymptotic estimates, finding perfect agreement [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"2109.01917","title":"The complete singlet contribution to the massless quark form factor at three loops in QCD","url":"/paper/2109.01917","section":"The Wilson coefficient in the low-energy effective Lagrangian","sentence":"[ref] where it was extracted from explicit calculations of different quantities determined in the same renormalization scheme as used here.","intent_p":0.96,"contests_p":null},{"arxiv_id":"2002.09888","title":"New features in the JHU generator framework: constraining Higgs boson properties from on-shell and off-shell production","url":"/paper/2002.09888","section":"Summary","sentence":"We would also like to point that the relative sign of the CP-even and CP-odd couplings in Eq. ([ref]) is consistent with Refs. [ref] , while the sign was reversed between Refs. [ref] .","intent_p":0.86,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2012.12272","title":"The Low-Energy Effective Theory of Axions and ALPs","url":"/paper/2012.12272","section":"Derivation of the RG evolution equations","sentence":"Pulling out one factor of $α_i$ in the definitions of the ALP couplings to gauge fields in ([ref]) ensures that the Wilson coefficients $c_VV$ are scale independent (at least up to two-loop order in gauge couplings), i.e. [equation] For the QCD coefficient $c_GG$ this follows from the explicit calculations performed in [ref] , and an analogous statement holds for $c_WW$ and $c_BB$.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"2309.14833","title":"Rapidity distribution of pseudo-scalar Higgs boson to $\\rm{\\textbf{NNLO}_A+\\overline{\\textbf {NNLL}}}$","url":"/paper/2309.14833","section":"Introduction","sentence":"On the other hand, for the pseudo-scalar case, only next-to-next-to-leading order(NNLO) QCD results [ref] in the effective theory [ref] are known.","intent_p":0.83,"contests_p":null},{"arxiv_id":"1107.0914","title":"NLO QCD corrections to pseudoscalar Higgs production in the MSSM","url":"/paper/1107.0914","section":"Introduction","sentence":"[ref] (see also ref.","intent_p":0.81,"contests_p":null},{"arxiv_id":"1510.01715","title":"Pseudo-scalar Form Factors at Three Loops in QCD","url":"/paper/1510.01715","section":"Introduction","sentence":"On the other hand for the CP-odd pseudo scalar, only NNLO QCD results [ref] in the effective theory [ref] are known.","intent_p":0.8,"contests_p":null},{"arxiv_id":"0807.1008","title":"Two-Loop Electroweak Corrections to the A^0 gamma gamma and A^0 g g Couplings of the CP-Odd Higgs Boson","url":"/paper/0807.1008","section":"Introduction","sentence":"The next-to-next-to-leading-order (NNLO) QCD corrections, of $O(α_s^2)$, to $Γ(A^0→gg)$ [ref] and $σ(gg→A^0)$ [ref] were found for $m_t→∞$ using an effective Lagrangian.","intent_p":0.89,"contests_p":null},{"arxiv_id":"2101.09479","title":"Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization","url":"/paper/2101.09479","section":"Introduction","sentence":"[ref] in the context of a heavy-top effective Lagrangian describing the interactions of a CP-odd scalar with gluons.","intent_p":0.87,"contests_p":null}]}],"unlabelled_sentences":41},"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":null,"_links":{"html":"https://pith.science/paper/hep-ph/9807241"}}