2015
DOI: 10.48550/arxiv.1508.01394
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The angular momentum of two massless fields revisited

Abstract: We consider the angular momentum of two massless fields using the Landau's arguments. In particular, we point out the explicit and implicit assumptions made by Landau to obtain the proof that a spin one system cannot decay into two photons. We show also under what conditions the result can be avoided.

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Cited by 7 publications
(8 citation statements)
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References 22 publications
(18 reference statements)
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“…From the functional forms of Eqs. ( 9) 2 In a non-Abelian gauge theory, the Landau-Yang theorem only forbids decays of spin-1 color-singlets to two gluons [44][45][46], because decay of a color-singlet requires that the gluons are indistinguishable. Tree-level amplitudes of spin-1 color-octet heavy quark pairs decaying to two gluons are widely known to vanish at tree-level [41,[47][48][49][50][51][52], but are non-zero at loop level [45].…”
Section: A Simple Discrimination Observablementioning
confidence: 99%
“…From the functional forms of Eqs. ( 9) 2 In a non-Abelian gauge theory, the Landau-Yang theorem only forbids decays of spin-1 color-singlets to two gluons [44][45][46], because decay of a color-singlet requires that the gluons are indistinguishable. Tree-level amplitudes of spin-1 color-octet heavy quark pairs decaying to two gluons are widely known to vanish at tree-level [41,[47][48][49][50][51][52], but are non-zero at loop level [45].…”
Section: A Simple Discrimination Observablementioning
confidence: 99%
“…The Landau-Yang theorem in the context of non-Abelian gauge theories was already considered in Refs. [36,37,38,39]. The decisive difference of QCD to QED is the color degree of freedom which leads to more allowed quantum numbers for color antisymmetric states.…”
Section: Landau-yang Theoremmentioning
confidence: 99%
“…In the former case, the state J P = 1 + is removed from the possible states by the on-shell condition. For the parity odd case, the states J P = (2k + 1) − , with k a nonnegative integer, are removed also by the on-shell condition and the fact that the spatial dimension is three [34,38]. Since the gluons in the glueball are not on-shell, the on-shell condition is violated and the J = 1 states are not removed.…”
Section: Landau-yang Theoremmentioning
confidence: 99%
“…Since Z is a spin-1 particle, it cannot couple at any order to a γγ final state due to the Landau-Yang theorem [39,40]. However, recent works claim that a spin-1 particle can couple to a gg state since gluons are colored [41][42][43][44]. Since we expect that limits coming from resonance searches in di-jet (jj) production and t t+jets production (tjj or t tjj) do not have sufficient sensitive to probe the relevant parameter space for the models considered, we ignore this possibility.…”
Section: Pseudo-scalar Np: Amentioning
confidence: 99%