Scattering Massive String Resonances through Field-Theory Methods

Abstract

We present a new method, exact in ${\alpha }^{\prime }$, to explicitly compute string tree-level amplitudes involving one massive state and any number of massless ones. This construction relies on the so-called twisted heterotic string, which admits only gauge multiplets, a gravitational multiplet, and a single massive supermultiplet in its spectrum. In this simplified model, we determine the moduli-space integrand of all amplitudes with one massive state using Berends-Giele currents of the gauge multiplet. These integrands are then straightforwardly mapped to gravitational amplitudes in the twisted heterotic string and to the corresponding massive amplitudes of the conventional type-I and type-II superstrings.

arXiv comment7 pages. v2 minor adjustments, matches trimmed PRL version, with a fixed typo in eq. (3)

References in corpus (52)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• New Relations for Gauge-Theory Amplitudes
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• A Correspondence Principle for Black Holes and Strings
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• The Momentum Kernel of Gauge and Gravity Theories
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Conformal Supergravity in Twistor-String Theory
• Doubled α'-Geometry
• Motivic Multiple Zeta Values and Superstring Amplitudes
• Universality of ultra-relativistic gravitational scattering
• Scattering Amplitudes from Intersection Theory
• Closed String Amplitudes as Single-Valued Open String Amplitudes
• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• Closed Superstring Amplitudes, Single-Valued Multiple Zeta Values and Deligne Associator
• On amplitudes in self-dual sector of Yang-Mills theory
• Berends-Giele recursions and the BCJ duality in superspace and components
• Heterotic and bosonic string amplitudes via field theory
• Massive Superstring Vertex Operator in D=10 Superspace
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Universality in string interactions
• Perturbiner Methods for Effective Field Theories and the Double Copy
• Direct Production of Lightest Regge Resonances
• Factorization of Chiral String Amplitudes
• Chaotic scattering of highly excited strings
• Construction of all N=4 conformal supergravities
• Unraveling conformal gravity amplitudes
• Decay widths of lowest massive Regge excitations of open strings
• String amplitudes from field-theory amplitudes and vice versa
• $L_{\infty }$-algebras and the perturbiner expansion
• DDF operators, open string coherent states and their scattering amplitudes
• On tree form-factors in (supersymmetric) Yang-Mills theory
• String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
• Computing Three-Point Functions for Short Operators
• On stable higher spin states in Heterotic String Theories
• Three-point correlators from string amplitudes: Mixing and Regge spins
• Higher Level String Resonances in Four Dimensions
• Field theory actions for ambitwistor string and superstring
• Massive Supermultiplets in Four-Dimensional Superstring Theory
• Bosonic sectorized strings and the $(DF{)}^2$ theory
• Highly Excited Strings I: Generating Function
• The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop
• Bimetric, Conformal Supergravity and its Superstring Embedding
• Amplitudes Involving Massive States Using Pure Spinor Formalism
• Chiral strings, the sectorized description and their integrated vertex operators
• Integrated Massive Vertex Operator in Pure Spinor Formalism

Cited by in corpus (15)

• Tree-level amplitudes from the pure spinor superstring
• Generalizations of the Double-Copy: the KLT Bootstrap
• Classical Limit of Higher-Spin String Amplitudes
• New recursions for tree-level correlators in (Anti) de Sitter space
• Extracting Bigravity from String Theory
• One-loop off-shell amplitudes from classical equations of motion
• Multiparticle solutions to Einstein's equations
• The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity
• Asymmetrically twisted strings
• Basis decompositions of genus-one string integrals
• Advanced tools for basis decompositions of genus-one string integrals
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• One-loop $N$-point correlators in pure gravity
• Form factors from string amplitudes
• Massive strings from a haunted field theory