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A universal splitting of string and particle scattering amplitudes
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abstract
We propose a new splitting behavior of tree-level string/particle amplitudes for scalars, gluons and gravitons. We identify certain subspaces in the space of Mandelstam variables, where the universal Koba-Nielsen factor splits into two parts (each with an off-shell leg). Both open- and closed-string amplitudes with Parke-Taylor factors naturally factorize into two stringy ${\it currents}$, which implies the splitting of bi-adjoint $\phi^3$ amplitudes and via a simple deformation to unified stringy amplitudes, the splitting of amplitudes in the non-linear sigma model and Yang-Mills-scalar theory; the same splitting holds for scalar amplitudes without color such as the special Galileon. Remarkably, if we impose similar constraints on Lorentz products involving polarizations, gluon and graviton amplitudes in bosonic string and superstring theories also split into two (stringy) currents. A special case of the splitting implies soft theorems, and more generally it extends recently proposed smooth splittings and new factorizations near zeros to all these theories.
Forward citations
Cited by 6 Pith papers
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Smooth Splitting and Zeros from On-Shell Recursion
Hidden zeros and smooth splitting in Tr phi^3, NLSM, YMS, and the special Galileon are shown to follow from on-shell recursion under improved UV falloff, yielding generalized, triple, and 4d helicity zeros.
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Form factors from string amplitudes
A bosonic string disk amplitude with one closed and many open strings is proposed as a UV completion of tree-level form factors in scalar and Yang-Mills theories.
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On differential operators for scalar-scaffolded gluons
Differential operators on scalar-scaffolded variables extract individual phi^3 diagrams from gluon amplitudes, and the independent mixed amplitudes are counted by Catalan numbers.
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All zeros of (super)String Theory
Scaffolding from the tachyon to higher-level string states preserves and extends the hidden zeros of string amplitudes, with extra supersymmetric zeros from the superstring.
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Universality of Colored Scalars from the Stringy KLT Kernel
Pion and colored scalar amplitudes are two readings of the same inverse KLT kernel, related by the alpha-prime shift.
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On the New Factorizations of Yang-Mills Amplitudes
Tree-level Yang-Mills amplitudes factorize into gluings of lower-point amplitudes when a rectangular set of Mandelstam variables vanishes, and this paper gives a rigorous CHY-based proof.
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