Counter-example to non-abelian Bloch-Nordsieck conjecture

Doria, R. M.; Frenkel, Jacob A.; Taylor, John

doi:10.1016/0550-3213(80)90278-3

Cited by 162 publications

(90 citation statements)

References 8 publications

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“…Generally, because of soft exchanges between spectators, one can prove only that a factored form holds through next-to-leading order in an expansion in inverse powers of the large momentum transfer Q 2 [26]. Beyond that order, factorization is known to fail [27].…”

Section: A Factorization Of the Production Ratementioning

confidence: 99%

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Bodwin¹,

Braaten²,

Lepage³

1997

Phys. Rev. D

1,745

2,983

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A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is set by the heavy quark mass M , from the longer-distance scales asso- * On leave from Dept. of Physics and Astronomy, Northwestern University, Evanston, IL 60208. 1 ciated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of 4-fermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant α s (M ). The matrix elements are organized into a hierarchy according to their scaling with v, the typical velocity of the heavy quark. An analogous factorization formalism is developed for the production cross sections of heavy quarkonium in processes involving momentum transfers of order M or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of S-wave states, up to corrections of relative order v 3 , and of P-wave states, up to corrections of relative order v 2 .

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Section: A Factorization Of the Production Ratementioning

confidence: 99%

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Bodwin¹,

Braaten²,

Lepage³

1997

Phys. Rev. D

1,745

2,983

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“…In non-abelian gauge theories, the Bloch-Nordsieck theorem is violated. This was initially pointed out for QCD [9]. However, the infrared divergences present at the parton level in QCD have no practical consequences since one sums or averages over color charges when calculating physical observables.…”

Section: Introductionmentioning

confidence: 99%

Weak boson emission in hadron collider processes

Baur

2007

Phys. Rev. D

102

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The O(α) virtual weak radiative corrections to many hadron collider processes are known to become large and negative at high energies, due to the appearance of Sudakov-like logarithms. At the same order in perturbation theory, weak boson emission diagrams contribute. Since the W and Z bosons are massive, the O(α) virtual weak radiative corrections and the contributions from weak boson emission are separately finite. Thus, unlike in QED or QCD calculations, there is no technical reason for including gauge boson emission diagrams in calculations of electroweak radiative corrections. In most calculations of the O(α) electroweak radiative corrections, weak boson emission diagrams are therefore not taken into account. Another reason for not including these diagrams is that they lead to final states which differ from that of the original process. However, in experiment, one usually considers partially inclusive final states. Weak boson emission diagrams thus should be included in calculations of electroweak radiative corrections. In this paper, I examine the role of weak boson emission in those processes at the Fermilab Tevatron and the CERN LHC for which the one-loop electroweak radiative corrections are known to become large at high energies (inclusive jet, isolated photon, Z + 1 jet, Drell-Yan, di-boson,tt, and single top production). In general, I find that the cross section for weak boson emission is substantial at high energies and that weak boson emission and the O(α) virtual weak radiative corrections partially cancel. *

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“…(13)(14)(15)(16)(17)(18)(19)(20), that represent the SU(2)⊗U(1) electroweak evolution equations for the full SM spectrum. Namely, eqs.…”

Section: Introductionmentioning

confidence: 99%

Electroweak evolution equations

Ciafaloni¹,

Comelli²

2005

J. High Energy Phys.

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Enlarging a previous analysis, where only fermions and transverse gauge bosons were taken into account, we write down infrared-collinear evolution equations for the Standard Model of electroweak interactions computing the full set of splitting functions. Due to the presence of double logs which are characteristic of electroweak interactions (Bloch-Nordsieck violation), new infrared singular splitting functions have to be introduced. We also include corrections related to the third generation Yukawa couplings.

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Counter-example to non-abelian Bloch-Nordsieck conjecture

Cited by 162 publications

References 8 publications

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Weak boson emission in hadron collider processes

Electroweak evolution equations

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