5-field terms in the open superstring effective action

Barreiro, Luiz Antônio; Medina, R.

doi:10.1088/1126-6708/2005/03/055

Cited by 58 publications

(115 citation statements)

References 51 publications

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“…For instance, the five-gluon amplitude (37) was used in [22] to determine the complete O(α ′3 ) string corrections. The effective action consists of hundreds of terms and does not give justice to Eq.(37).…”

Section: Discussionmentioning

confidence: 99%

“…The only systematic way of handling them for arbitrary N is to find a basis, consisting of an a priori unknown number ν N of functions, and to express all other functions as linear combinations of the basis elements with the coefficients given by some rational (homogeneous) functions of the kinematic invariants (5). This program has been successfully implemented in [17,22] for N = 5 and in [19] for N = 6 and will be continued in [23]. For a given N, an efficient way of generating systems of equations relating the integrals (20), that can be used to find a minimal set of independent functions, is based on world-sheet supersymmetry [19].…”

Section: Multi-gluon Scattering On the Diskmentioning

confidence: 99%

“…Here, five invariants are necessary to specify the kinematics. They can be chosen as The integrals over two vertex positions have the form (22), specified by five integers n 1 , n 2 , n 11 , n 12 , n 22 . One finds [19,22] that all integrals can be expressed in terms of just two functions:…”

Section: Five Gluonsmentioning

confidence: 99%

“…(29), A YM is the tree-level Yang-Mills amplitude while A F 4 is generated by the I (soft) momentum of one gluon and in the limit of two parallel momenta [22]. The low-energy behavior of the amplitude is determined, up to the order O(α ′3 ), by the following expansions:…”

Section: Five Gluonsmentioning

confidence: 99%

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Multigluon scattering in open superstring theory

2006

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We discuss the amplitudes describing N -gluon scattering in type I superstring theory, on a disk world-sheet. After reviewing the general structure of amplitudes and the complications created by the presence of a large number of vertices at the boundary, we focus on the most promising case of maximally helicity violating (MHV) configurations because in this case, the zero Regge slope limit (α ′ → 0) is particularly simple. We obtain the full-fledged MHV disk amplitudes for N = 4, 5 and N = 6 gluons, expressed in terms of one, two and six functions of kinematic invariants, respectively. These functions represent certain boundary integrals -generalized Euler integrals -which for N ≥ 6 correspond to multiple hypergeometric series (generalized Kampé de Fériet functions). Their α ′ -expansions lead to Euler-Zagier sums. For arbitrary N , we show that the leading string corrections to the Yang-Mills amplitude, of order O(α ′2 ), originate from the well-known α ′2 TrF 4 effective interactions of four gauge field strength tensors. By using iteration based on the soft gluon limit, we derive a simple formula valid to that order for arbitrary N . We argue that such a procedure can be extended to all orders in α ′ . If nature gracefully picked a sufficiently low string mass scale, our results would be important for studying string effects in multi-jet production at the Large Hadron Collider (LHC).

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Section: Discussionmentioning

confidence: 99%

Section: Multi-gluon Scattering On the Diskmentioning

confidence: 99%

Section: Five Gluonsmentioning

confidence: 99%

Section: Five Gluonsmentioning

confidence: 99%

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Multigluon scattering in open superstring theory

2006

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“…Although this approach works in the abelian case, it was seen in [17] that in the nonabelian case it fails at α 3 order. So, for the nonabelian case, besides the results obtained in [18] and [19], there does not exist an all α order result (like the Born-Infeld one, in the abelian case) 2 ' 3 .…”

Section: Introductionmentioning

confidence: 80%

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian

Barreiro

Medina

2012

J. High Energ. Phys.

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The conventional S-matrix approach to the (tree level) open string low energy effective lagrangian assumes that, in order to obtain all its bosonic α N order terms, it is necessary to know the open string (tree level) (N +2)-point amplitude of massless bosons, at least expanded at that order in α . In this work we clarify that the previous claim is indeed valid for the bosonic open string, but for the supersymmetric one the situation is much more better than that: there are constraints in the kinematical bosonic terms of the amplitude (probably due to Spacetime Supersymmetry) such that a much lower open superstring n-point amplitude is needed to find all the α N order terms. In this 'revisited' S-matrix approach we have checked that, at least up to α 4 order, using these kinematical constraints and only the known open superstring 4-point amplitude, it is possible to determine all the bosonic terms of the low energy effective lagrangian. The sort of results that we obtain seem to agree completely with the ones achieved by the method of BPS configurations, proposed about ten years ago. By means of the KLT relations, our results can be mapped to the NS-NS sector of the low energy effective lagrangian of the type II string theories implying that there one can also find kinematical constraints in the N -point amplitudes and that important informations can be inferred, at least up to α 4 order, by only using the (tree level) 4-point amplitude.

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Scattering amplitudes in open superstring theory

Schlotterer

2011

Fortschritte der Physik

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This review is concerned with scattering amplitudes in open superstring theories. In particular, we introduce two different formalisms to compute tree level amplitudes – the Ramond Neveu Schwarz‐ (RNS‐) and the Pure Spinor (PS‐) formalism. The RNS approach proves to be flexible in describing compactifications from ten to four flat spacetime dimensions. We solve the technical problems due to the underlying interacting conformal field theory on the worldsheet. This is exploited to extract phenomenologically relevant scattering amplitudes of gluons and quarks as well as production‐ and decay rates of massive vibration modes which have already been identified as virtual exchange particles at the massless level. In case of a TeV string scale, string specific signatures in parton collisions might be observed at the LHC experiment in the near future and constitute the first experimental evidence for string theory. These statements apply to a wide class of string vacua and therefore bypass the so‐called landscape problem of string theory. The PS formalism allows for a manifestly supersymmetric treatment of scattering amplitudes in ten spacetime dimensions with sixteen supercharges. We introduce a family of superfields which arises in tree amplitudes of massless open string states and can be naturally identified with diagrams made of cubic vertices. We firstly achieve a compact superspace representation of multiparticle field theory amplitudes and moreover express the complete n point superstring amplitude as a minimal linear combination of partial field theory amplitudes and hypergeometric functions. The latter carry the stringy effects and are analyzed from different perspectives.

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5-field terms in the open superstring effective action

Cited by 58 publications

References 51 publications

Multigluon scattering in open superstring theory

Multigluon scattering in open superstring theory

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian

Scattering amplitudes in open superstring theory

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