Pith.

High Energy Physics - Phenomenology · arXiv:1105.4569 v3 · submitted 23 May 2011

Renormalisation of heavy-light light ray operators

Michael Knoedlseder, Nils Offen

PDF · arXiv · The abstract, sentence by sentence · Cite

The paper says

“A comparison with the light-light case suggests that the mixing with three-particle operators is solely governed by the light degrees of freedom.”

from the abstract · picked out as the main claim by a classifier

Pith says

Pith has not reviewed this paper.

Get a Pith Review, $5

Reviews

Reviews by people

No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.

Request a human review

How Pith checks papers · The full audit of this paper

The paper

Abstract

We calculate the renormalisation of different light ray operators with one light degree of freedom and a static heavy quark. Both 2 → 2- and 2 → 3-kernels are considered. A comparison with the light-light case suggests that the mixing with three-particle operators is solely governed by the light degrees of freedom. Additionally we show that conformal symmetry is already broken at the level of the one loop counterterms due to the additional UV-renormalisation of a cusp in the two contributing Wilson-lines. This general feature can be used to fix the 2 → 2-renormalisation kernels up to a constant. Some examples for applications of our results are given.

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.

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

How the main claim is stated: hedged possibility 0.93

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.39 · human participants 0.01 · controlled comparison 0.28 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.90 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
We calculate the renormalisation of different light ray operators with one light degree of freedom and a static heavy quark. contribution 1.00 0.97 0.11 asserted 1.00
Both $2\to2$- and $2\to3$-kernels are considered. contribution 0.73 0.83 0.04 asserted 0.97
A comparison with the light-light case suggests that the mixing with three-particle operators is solely governed by the light degrees of freedom. interpretation 0.56 0.73 0.32 hedged possibility 0.93
Additionally we show that conformal symmetry is already broken at the level of the one loop counterterms due to the additional UV-renormalisation of a cusp in the two contributing Wilson-lines. result 1.00 0.91 0.18 asserted 1.00
This general feature can be used to fix the $2\to2$-renormalisation kernels up to a constant. result 0.45 0.86 0.21 asserted 0.88
Some examples for applications of our results are given. contribution 0.83 0.73 0.03 asserted 0.87

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96

What was examined, and what was not

Sources read

  • arXiv listing abstract v3

Not examined

  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers

Levels run

  • P abstract

Not run

  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,819 input tokens, $0.0002 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

Cited by 6 Pith papers

Reviewed papers on Pith that cite this one. The full citation record

  1. Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays hep-ph · Aug 2019
  2. Two-loop evolution equation for the B-meson distribution amplitude hep-ph · May 2019
  3. Perturbative Corrections to $\Lambda_b \to \Lambda$ Form Factors from QCD Light-Cone Sum Rules hep-ph · Nov 2015
  4. QCD corrections to $B \to \pi$ form factors from light-cone sum rules hep-ph · Jun 2015
  5. Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons hep-ph · Aug 2013
  6. B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space hep-ph · Apr 2014
How the literature uses it

11 arXiv papers cite this in 19 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 · 13 sentences without a confident label

Uses its method or tool 1 paper
Compares with it 3 papers
  • In HQET only light degrees of freedom remain so that the second term in [ref] is dropped and the remaining part [equation] coincides with the heavy-light kernel [ref] (up to the scheme-dependent constant) found in [ref] by explicit calculation of one-loop diagrams.

    Scale-dependence of the $B$-meson LCDA beyond leading order from conformal symmetry · Symmetries of an effective theory · 0.83

  • In HQET only light degrees of freedom remain so that the second part of the Hamiltonian in [ref] is dropped and the remaining part [equation] coincides with the heavy-light Hamiltonian [ref] (up to the scheme-dependent constant) found in [ref] by explicit calculation of one-loop diagrams.

    Integrability in heavy quark effective theory · Light-to-heavy reduction · 0.81

  • By taking the heavy quark limit, we also reproduced the results reported in Ref. [ref] .

    Renormalization of twist-four operators in light-cone gauge · $f_+-ψ_+$ and $f_++ψ_-$ · 0.98

Cites it as support 1 paper
  • In particular, recently, it has been demonstrated that the $B$-meson “light-cone distribution amplitudes” to describe the valence Fock components participating in the hard exclusive processes [ref] are contaminated by the multiparticle Fock states, so that the contributions represented by the novel HQET parameters $λ_E,H^2$ of Eqs. ([ref]), ([ref]) could strongly affect [ref] the amplitudes for the exclusive $B$-meson decays at the leading power.

    QCD sum rules for quark-gluon three-body components in the B meson · Introduction · 0.96

Cites it as background 1 paper

What it cites · 36 sentences without a confident label

Builds on 2 papers
  • In spinor notation the relevant operators are [equation] Using the results ([ref]) for $h_v⊗ψ_+$ and $ψ_+⊗ψ̅_+$ from [ref] and correcting for the renormalisation of $f_Λ^(2)$ we recover the expressions of [ref] but we can extend their result to the $Ψ_3$ case by using the necessary expressions for [equation] from equations ([ref]), ([ref]) and from [ref] .

    Distribution Amplitudes of the Lambda_b Baryon in QCD · $Λ_b$ distribution amplitudes · 0.96

  • In spinor notation the relevant operators are [equation] Using the results ([ref]) for $h_v⊗ψ_+$ and $ψ_+⊗ψ̅_+$ from [ref] and correcting for the renormalisation of $f_Λ^(2)$ we recover the expressions of [ref] but we can extend their result to the $Ψ_3$ case by using the necessary expressions for [equation] from equations ([ref]), ([ref]) and from [ref] .

    Renormalization of Twist-Four Operators in QCD · $Λ_b$ distribution amplitudes · 0.96

Uses the method or tool of 2 papers
  • We will draw heavily on the results and techniques from [ref] although our analysis has the additional problem that one cannot define geometric nor collinear twist when an effective heavy quark field is included and therefore at first glance one cannot use the constraints coming from conformal invariance of QCD.

    Renormalization of Twist-Four Operators in QCD · Introduction · 0.93

  • We use the spinor formalism of [ref] solely for classifying the twist of the light degrees of freedom and to compare with work in the light-light case since in our explicit calculations it poses little advantage due to the absence of Dirac-matrices in the interaction vertices and quark lines of heavy quark effective theory (HQET).

    Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes · Spinor formalism · 0.90

Compares with 7 papers
  • The first part resembles the contribution coming from light degrees of freedom seen in [ref] as well and the heavy quark just gives a contribution coming from the renormalisation of two intersecting Wilson-lines, one light-like and one time-like.[The heavy quark can be written as a sterile quark field $ϕ(-∞)$ multiplied by a time-like Wilson-line [ref] [equation] .]

    Renormalization of Twist-Four Operators in QCD · $2→2$-kernels · 0.83

  • The first part resembles the contribution coming from light degrees of freedom seen in [ref] as well and the heavy quark just gives a contribution coming from the renormalisation of two intersecting Wilson-lines, one light-like and one time-like.[The heavy quark can be written as a sterile quark field $ϕ(-∞)$ multiplied by a time-like Wilson-line [ref] [equation] .]

    Infrared Factorization, Wilson Lines and the Heavy Quark Limit · $2→2$-kernels · 0.83

  • Calculating the integrals one gets [equation] where one sees the same structure as in [ref] and in the second row one term that cancels the difference between the renormalisation constants of the light quark in Feynman- and light cone gauge and an additional scaleless integral which if one regularises it to get only the ultra-violet divergence is canceled by the same integral appearing in the renormalisation of the heavy quark in light cone gauge, see Appendix A.

    The B-Meson Distribution Amplitude in QCD · Calculation · 0.85

Cites as background 15 papers
  • In this section we give a short introduction to some of the theoretical concepts as the spinor representation, the definition of light ray operators or conformal symmetry, while we refrain from giving a detailed account of these topics and rather refer the reader to [ref] .

    Renormalization of Twist-Four Operators in QCD · Background · 1.00

  • In this section we give a short introduction to some of the theoretical concepts as the spinor representation, the definition of light ray operators or conformal symmetry, while we refrain from giving a detailed account of these topics and rather refer the reader to [ref] .

    The Uses of Conformal Symmetry in QCD · Background · 1.00

  • In this section we give a short introduction to some of the theoretical concepts as the spinor representation, the definition of light ray operators or conformal symmetry, while we refrain from giving a detailed account of these topics and rather refer the reader to [ref] .

    Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes · Background · 1.00

Challenges and discussion

Know something about this paper? Leave a comment.

No comments yet.

Sign in to comment