{"arxiv_id":"0908.3403","incoming":{"papers":8,"sentences":10,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1008.3070","title":"Minimal Supersymmetric SU(5) and Gauge Coupling Unification at Three Loops","url":"/paper/1008.3070","section":"Running and decoupling","sentence":"We employed the one-loop conversion relations [ref] for all parameters except $α_3$ and $m_b$ where two-loop relations [ref] have been used in order to be consistent with the decoupling at the SUSY scale.","intent_p":0.95,"contests_p":null},{"arxiv_id":"1310.6178","title":"Precision Calculations in Supersymmetric Theories","url":"/paper/1310.6178","section":"Gauge coupling unification in the minimal SUSY SU(5) model","sentence":"To establish the conversion relations between the running parameters in the two schemes, one can use the method discussed in section [ref], where such relations have been derived in the context of non-supersymmetric theories.[For more details see Ref. [ref] .] The conversion relations that are of interest for the numerical analysis discussed in this section are those involving the gauge couplings and the quark masses of the third generation, as only their Yukawa couplings give sizable effects.","intent_p":0.88,"contests_p":null}]}],"unlabelled_sentences":8},"outgoing":{"papers":31,"sentences":51,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":5,"sentences":5,"quotes":[{"arxiv_id":"0905.4807","title":"The SUSY-QCD beta function to three loops","url":"/paper/0905.4807","section":"Three-loop renormalization group functions in DREG","sentence":"We adopted here the prescription introduced in Ref [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-ph/0607240","title":"Dimensional Reduction applied to QCD at three loops","url":"/paper/hep-ph/0607240","section":"Running coupling constants","sentence":"For the computation of the translation relations between the and schemes we employed a simpler computation method [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"hep-ph/9711266","title":"Beta functions and anomalous dimensions up to three loops","url":"/paper/hep-ph/9711266","section":"Three-loop renormalization group functions in DREG","sentence":"We did the calculation for vanishing external momenta and regularized the infrared divergences giving a common mass to all particles [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"hep-ph/9907431","title":"ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model","url":"/paper/hep-ph/9907431","section":"Running coupling constants","sentence":"For the computation of the resulting two-loop on-shell integrals we used existing automated programs [ref] .The effective charges computed for on-shell gluons and gluinos are not infrared safe, but the infrared divergences of the two charges are equal.","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-ph/9905298","title":"Automatic application of successive asymptotic expansions of Feynman diagrams","url":"/paper/hep-ph/9905298","section":"Three-loop renormalization group functions in DREG","sentence":"The resulting three-loop integrals can be evaluated with the help of existing programs [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":3,"sentences":4,"quotes":[{"arxiv_id":"hep-ph/0509048","title":"Two-loop matching coefficients for the strong coupling in the MSSM","url":"/paper/hep-ph/0509048","section":"Introduction","sentence":"As a by-product result we reconfirm the two-loop conversion relation derived in [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"0905.4807","title":"The SUSY-QCD beta function to three loops","url":"/paper/0905.4807","section":"Three-loop fermion mass anomalous dimensions in","sentence":"For the gluino mass anomalous dimension we obtain [equation] It is an easy exercise to verify that the three-loop mass anomalous dimensions given above differ from the ones computed in scheme [ref] only by the finite shifts for coupling constants and masses discussed in Section [ref].","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-ph/9603386","title":"$N=1$ supersymmetry and the three loop anomalous dimension for the chiral superfield","url":"/paper/hep-ph/9603386","section":"Three-loop fermion mass anomalous dimensions in","sentence":"For the gluino mass anomalous dimension we obtain [equation] It is an easy exercise to verify that the three-loop mass anomalous dimensions given above differ from the ones computed in scheme [ref] only by the finite shifts for coupling constants and masses discussed in Section [ref].","intent_p":1.0,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-ph/9602378","title":"SUSY-QCD Decays of Squarks and 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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/0908.3403"}}