Double soft theorems in gauge and string theories

Volovich, Anastasia; Wen, Congkao; Zlotnikov, Michael

doi:10.1007/jhep07(2015)095

Cited by 58 publications

(77 citation statements)

References 86 publications

(176 reference statements)

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“…This should be contrasted to the case of two fermions transforming non-trivially under the R-symmetry SU(4). In the latter case the amplitude behaves like 1/δ in the double-soft limit [25].…”

Section: Double-soft Limit Of 2 Fermions Forming a Singletmentioning

confidence: 94%

“…This is no longer true when the multi-soft limit involves gluons of different helicities [24,25]. In this note we will restrict ourselves to the leading term in the 1/δ expansion of the universal multi-soft factor S m .…”

Section: Gluonic Multi-soft Limits and The Csw Methodsmentioning

confidence: 99%

“…(2.12) first obtained in [24,25]. At this point we wish to comment on the effectiveness of the CSW method compared to this of the BCFW method.…”

Section: Jhep08(2015)128mentioning

confidence: 98%

“…The effect of loop corrections to the soft theorems was also considered in [27][28][29][30][31]. More recently, the double-soft theorems for scalars and fermions have been extended to include the double-soft limits of gluons and gravitons [24,25]. Further studies on the soft limit of the S matrix in gauge theories, gravity and string theory can be found in [36][37][38][39][40][41][42][43][44][45][46].…”

Section: Jhep08(2015)128mentioning

confidence: 99%

“…The first case concerns the multi-soft limit of two fermions forming a singlet and m − 2 positive helicity gluons, while the second one is that of two scalars forming a singlet and m − 2 positive helicity gluons in N = 4 SYM. The case of two scalars or the two fermions that do not form a singlet under SU(4) and no gluons had been treated recently in [25]. The fist step consists in identifying the relevant for the soft-limit diagrams.…”

Section: Multi-soft Limit Of 2 Scalars or 2 Fermions Forming A Singlementioning

confidence: 99%

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Multi-soft theorems in gauge theory from MHV diagrams

Georgiou

2015

J. High Energ. Phys.

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In this work we employ the MHV technique to show that scattering amplitudes with any number of consecutive soft particles behave universally in the multi-soft limit in which all particles go soft simultaneously. After identifying the diagrams which give the leading contribution we give the general rules for writing down compact expressions for the multi-soft factor of m gluons, k of which have negative helicity. We explicitly consider the cases where k = 1 and 2. In N = 4 SYM, the multi-soft factors of 2 scalars or 2 fermions forming a singlet of SU(4) R-symmetry, and m − 2 positive helicity gluons are derived. The special case of the double-soft limit gives an amplitude whose leading divergence is 1/δ 2 and not 1/δ as in the case of 2 scalars or 2 fermions that do not form a singlet under SU(4). The construction based on the analytic supervertices allows us to obtain simple expressions for the triple-soft limit of 1 scalar and 2 positive helicity fermions, as well as for the quadrapole-soft limit of 4 positive helicity fermions, in a singlet configuration.

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Section: Double-soft Limit Of 2 Fermions Forming a Singletmentioning

confidence: 94%

Section: Gluonic Multi-soft Limits and The Csw Methodsmentioning

confidence: 99%

“…(2.12) first obtained in [24,25]. At this point we wish to comment on the effectiveness of the CSW method compared to this of the BCFW method.…”

Section: Jhep08(2015)128mentioning

confidence: 98%

Section: Jhep08(2015)128mentioning

confidence: 99%

Section: Multi-soft Limit Of 2 Scalars or 2 Fermions Forming A Singlementioning

confidence: 99%

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Multi-soft theorems in gauge theory from MHV diagrams

Georgiou

2015

J. High Energ. Phys.

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Soft Theorems from String Theory

Vecchia

Marotta

Mojaza

2016

Fortschritte der Physik

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Soft behaviour of closed string amplitudes involving dilatons, gravitons and anti‐symmetric tensors, is studied in the framework of bosonic string theory. The leading double soft limit of gluons is analysed as well, starting from scattering amplitudes computed in the open bosonic string. Field theory expressions are then obtained by sending the string tension to infinity. The presented results have been derived in the papers of Ref [1].

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Testing subleading multiple soft graviton theorem for CHY prescription

Chakrabarti

Kashyap

Sahoo

et al. 2018

J. High Energ. Phys.

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In arXiv:1707.06803 we derived the subleading multiple soft graviton theorem in a generic quantum theory of gravity for arbitrary number of soft external gravitons and arbitrary number of finite energy external states carrying arbitrary mass and spin. In this paper we verify this explicitly using the CHY formula for tree level scattering amplitudes of arbitrary number of gravitons in Einstein gravity. We pay special care to fix the signs of the amplitudes and resolve an apparent discrepancy between our general results in arXiv:1707.06803 and previous results on soft graviton theorem from CHY formula.

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Double soft theorems in gauge and string theories

Cited by 58 publications

References 86 publications

Multi-soft theorems in gauge theory from MHV diagrams

Multi-soft theorems in gauge theory from MHV diagrams

Soft Theorems from String Theory

Testing subleading multiple soft graviton theorem for CHY prescription

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