proposition 102.48 Collinear emission and its logarithm

open in the book · parts/11-qft-standard-model/04-qcd.tex:1980 · p. 2011

Rests on

depends_on equation 102.31 eq:qcd-casimirs ¶
depends_on equation 100.76 eq:qed-eikonal ¶
depends_on theorem 100.60 Kinoshita–Lee–Nauenberg ¶
- depends_on phenomenon 100.57 No charge is deflected without radiating ¶
  - depends_on equation 100.23 eq:qed-fermion-propagator ¶
  - depends_on equation 100.39 eq:qed-phase-space ¶
  - depends_on equation 100.34 eq:qed-photon-sum ¶
  - proves proof ch:02-qed-renormalization@proof-31 ¶
- depends_on theorem 100.58 Bloch–Nordsieck cancellation ¶
  - depends_on equation 100.60 eq:qed-form-factors ¶
  - depends_on phenomenon 100.57 No charge is deflected without radiating ¶ ↺
proves proof ch:04-qcd@proof-24 ¶

Supports

depends_on phenomenon 116.32 Scaling is violated logarithmically ¶
depends_on proposition 116.16 The equivalent radiator ¶
depends_on proposition 102.58 The three-jet energy distribution ¶
depends_on theorem 102.49 The DGLAP evolution equations ¶
- depends_on corollary 102.50 Moments diagonalise the evolution ¶
  - depends_on proposition 116.26 The asymptotic sharing of momentum ¶
- depends_on proposition 116.26 The asymptotic sharing of momentum ¶ ↺

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	eq:qcd-casimirs	declared	parts/11-qft-standard-model/04-qcd.tex:1996
`depends_on`	→	eq:qed-eikonal	declared	parts/11-qft-standard-model/04-qcd.tex:1996
`depends_on`	→	Kinoshita–Lee–Nauenberg	declared	parts/11-qft-standard-model/04-qcd.tex:1996
`depends_on`	←	Scaling is violated logarithmically	declared	parts/11-qft-standard-model/18-exp-deep-inelastic.tex:2003
`depends_on`	←	The equivalent radiator	declared	parts/11-qft-standard-model/18-exp-deep-inelastic.tex:856
`depends_on`	←	The three-jet energy distribution	declared	parts/11-qft-standard-model/04-qcd.tex:2386
`depends_on`	←	The DGLAP evolution equations	declared	parts/11-qft-standard-model/04-qcd.tex:2047
`proves`	←	ch:04-qcd@proof-24	declared	parts/11-qft-standard-model/04-qcd.tex:1999