{"arxiv_id":"hep-ph/9207214","incoming":{"papers":83,"sentences":106,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1002.4794","title":"How large can the SM contribution to CP violation in $D^0-\\bar D^0$ mixing be?","url":"/paper/1002.4794","section":"Introduction","sentence":"There are two main approaches to this issue: Heavy Quark Expansion (HQE) [ref] is an expansion of the bilocal $ΔC =2$ matrix elements as a series of local operators of increasing dimension, which are suppressed by powers of the heavy quark mass.","intent_p":0.8,"contests_p":null},{"arxiv_id":"1607.03910","title":"Finite-temperature modification of heavy particle decay and dark matter annihilation","url":"/paper/1607.03910","section":"Introduction","sentence":"In the case of particle decay this treatment is inspired by, and in many ways very similar to, the OPE of inclusive heavy quark decay in QCD [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"1501.00314","title":"Inclusive semileptonic B decays and |Vcb|","url":"/paper/1501.00314","section":"Higher order effects","sentence":"They can be also obtained from the parton level $O()$ result using reparameterization invariance (RI) relations [ref] .","intent_p":0.86,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2305.00665","title":"Study of singly heavy baryon lifetimes","url":"/paper/2305.00665","section":"Two-quark operators","sentence":"We use the LO coefficients with massive $q_1$ and $q_3$ [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2408.06767","title":"QCD corrections at subleading power for inclusive nonleptonic $b\\rightarrow c\\bar u d$ decays","url":"/paper/2408.06767","section":"Discussion of the results","sentence":"For the power suppressed terms, our result agrees with previous LO determinations [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":36,"sentences":39,"quotes":[{"arxiv_id":"1311.7381","title":"Perturbative corrections to power suppressed effects in semileptonic B decays","url":"/paper/1311.7381","section":"Introduction","sentence":"The model-independent study of inclusive semileptonic $B$ decays, initiated twenty years ago [ref] , is based on an Operator Product Expansion (OPE) in conjunction with the heavy quark expansion.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1501.00314","title":"Inclusive semileptonic B decays and |Vcb|","url":"/paper/1501.00314","section":"The framework","sentence":"The OPE allows us to express the nonperturbative physics in terms of $B$ meson matrix elements of local operators of dimension $d≥5$, while the Wilson coefficients can be expressed as a perturbative series in $α_s$ [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"2604.24841","title":"Next-to-next-to-leading QCD corrections to the $\\mathbf{B^+}$-$\\mathbf{B_d^0}$, $\\mathbf{D^+}$-$\\mathbf{D^0}$, and $\\mathbf{D_s^+}$-$\\mathbf{D^0}$ lifetime ratios","url":"/paper/2604.24841","section":"Introduction","sentence":"Lifetimes of heavy hadrons $H_Q$ can be calculated with the Heavy Quark Expansion (HQE), which is an operator product expansion with the heavy quark mass $m_Q$ as the hard scale [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2103.02058","title":"The Heavy Quark Expansion for the Charm Quark","url":"/paper/2103.02058","section":"Introduction","sentence":"In particular, its application to inclusive processes in the form of the Heavy Quark Expansion (HQE) [ref] i.e. the expansion of observables in powers of $Λ_QCD / m_Q$ and $α_s (m_Q)$ has become a standard tool to analyze inclusive heavy hadron decays, which has subsequently been refined over the last three decades, including the calculation of perturbative as well as $Λ_QCD / m_Q$ corrections to higher orders.","intent_p":0.92,"contests_p":null},{"arxiv_id":"0810.5695","title":"NNLO corrections to inclusive semileptonic B decays in the shape-function region","url":"/paper/0810.5695","section":"Introduction","sentence":"The total decay rate can be described by a local Operator Product Expansion (OPE) in a simultaneous expansion in $/m_b$ and $α_s(m_b)$ [ref] .","intent_p":0.82,"contests_p":null}]}],"unlabelled_sentences":62},"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. 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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 used its method or tool."},"_links":{"html":"https://pith.science/paper/hep-ph/9207214"}}