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Two-loop matching of the dipole operators for $b \to s \gamma$ and $b \to s gluon$

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Christoph Greub (DESY), Tobias Hurth (SUNY at Stony Brook)

High Energy Physics - Phenomenology · Submitted 18 Mar 1997

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our results are in complete agreement with those in ref. [1].

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/9703349 (version 1)
Pith IDJMP25MZG, Pith's permanent record of this paper and its review
CitationChristoph Greub (DESY), Tobias Hurth (SUNY at Stony Brook). "Two-loop matching of the dipole operators for $b \to s \gamma$ and $b \to s gluon$." arXiv:hep-ph/9703349 (1997). https://pith.science/paper/JMP25MZG
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,020 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.98 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The order $\alpha_s$ corrections to the Wilson coefficients of the dipole operators ($O_7,O_8$) at the matching scale $\mu =m_W$ are a crucial ingredient for a complete next- to-leading logarithmic calculation of the branching ratio for $b \to s \gamma$. Given the phenomenological relevance and the fact that this two-loop calculation has been done so far only by one group [1], we present a detailed re-calculation using a different method. Our results are in complete agreement with those in ref. [1].

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The order $\alpha_s$ corrections to the Wilson coefficients of the dipole operators ($O_7,O_8$) at the matching scale $\mu =m_W$ are a crucial ingredient for a complete next- to-leading logarithmic calculation of the branching ratio for $b \to s \gamma$. background 1.00 0.06 0.07 asserted 1.00
s1 Given the phenomenological relevance and the fact that this two-loop calculation has been done so far only by one group [1], we present a detailed re-calculation using a different method. contribution 0.85 0.54 0.06 asserted 0.99
s2 Our results are in complete agreement with those in ref. [1]. result 0.98 0.87 0.58 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.67.

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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The order $\alpha_s$ corrections to the Wilson coefficients of the dipole operators ($O_7,O_8$) at the matching scale $\mu =m_W$ are a crucial ingredient for a complete next- to-leading logarithmic calculation of the branching ratio for $b \to s \gamma$. Given the phenomenological relevance and the fact that this two-loop calculation has been done so far only by one group [1], we present a detailed re-calculation using a different method. Our results are in complete agreement with those in ref. [1].

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References
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6 arXiv papers cite this in 7 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Compares with it 1 paper
  • Denoting $Γ_virt,mix^i (i=γ,Z)$ as contributions to partial decay widths from the sum of Fig. [ref](b)-(g) and the corresponding counter terms, we obtain [equation] where $C_0$ and the renormalization constants $δZ_gγ$ and $δZ_gZ$ are given below: [equation] We can see that $Γ_virt,mix^γ$ and $δZ_gγ$ are consistent with Eqs. (4.8) and (4.10) in Ref. [ref] , up to a factor of $1/3$, which is absorbed into $Q_f$ in our formula.

    Next-to-leading order QCD corrections to the top quark decay via the Flavor-Changing Neutral-Current operators with mixing effects · Contributions to $t→q+γ$ and $t→q+Z$ from FCNC operator mixing · 1.00

Cites it as background 1 paper

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