2009
DOI: 10.1088/1126-6708/2009/11/046
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Sommerfeld enhancement from Goldstone pseudo-scalar exchange

Abstract: We point out that the exchange of a Goldstone pseudo-scalar can provide an enhancement in the dark matter annihilation rate capable of explaining the excess flux seen in high energy cosmic ray data. The mechanism of enhancement involves the coupling of s and d waves through the tensor force that is very strong and, in fact, singular at short distances. The results indicate that large enhancements require some amount of fine tuning. We also discuss the enhancement due to other singular attractive potentials, su… Show more

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Cited by 27 publications
(29 citation statements)
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“…The one-pion-exchange potential has been discussed in the context of DM both regarding a potential Sommerfeld enhancement of DM annihilation [118] and an enhancement of DM self-interactions [119], both references being careful to renormalise the divergences resulting from the singular potential. The conclusion is that resonances can significantly boost the interaction rates at low velocities, even though significant tuning may be required to obtain a sufficiently large momentum transfer cross section in small-velocity systems [119].…”
Section: Dark Matter Self-interactionsmentioning
confidence: 99%
“…The one-pion-exchange potential has been discussed in the context of DM both regarding a potential Sommerfeld enhancement of DM annihilation [118] and an enhancement of DM self-interactions [119], both references being careful to renormalise the divergences resulting from the singular potential. The conclusion is that resonances can significantly boost the interaction rates at low velocities, even though significant tuning may be required to obtain a sufficiently large momentum transfer cross section in small-velocity systems [119].…”
Section: Dark Matter Self-interactionsmentioning
confidence: 99%
“…(11) diverges faster than r −2 , so it is singular and leads to an unbounded Hamilton operator [46]. This is of course not physical, since the potential will ultimately be regularized by UV physics.…”
Section: Sommerfeld Enhanced Scatteringmentioning
confidence: 99%
“…This is of course not physical, since the potential will ultimately be regularized by UV physics. While the boost factor can be made independent of the regularization procedure, it will depend a bit on the UV completion [45,46]. We are just trying to estimate this effect, so we follow the simplified version of the regularization procedure outlined in Ref.…”
Section: Sommerfeld Enhanced Scatteringmentioning
confidence: 99%
“…From Refs. [23,24], we expect that the dark baryon annihilation receives a Sommerfeld enhancement [25,26] S of order a few due to dark pion exchanges; even S O(10) may occur if parameters such as e D are moderately tuned. We find that the dark baryon can be probed if S O(3) or if CTA slightly outperforms its expected sensitivity.…”
mentioning
confidence: 99%