Hidden Zero behavior in the vector formulation of the Nonlinear Sigma Model

Tabara, Ioan Sebastian (2025) Hidden Zero behavior in the vector formulation of the Nonlinear Sigma Model. Bachelor's Thesis, Physics.

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Abstract

Pions are scalar particles that arise due to spontaneous symmetry breaking of QCD. The physics of their interactions is described by an effective field theory known as the Nonlinear Sigma Model. Alternative formulations that describe the tree-level scattering amplitudes of pions have recently been proposed. These imply using the double copy prescription to extract said amplitudes from a simpler theory, known as the biadjoint scalar theory, by observing the structural similarities between that and the chiral current formalism of the Nonlinear Sigma Model. This will be referred to as the vector formulation, due to the mathematical structures it uses. Together with the existence of the hidden zeros, which is the property that these amplitudes vanish on specific kinematic loci, this motivated the objective of this thesis to extract more detailed properties using the aforementioned formulation. The focus of the following approach is to use the vector formulation to group diagrams that contribute to a scattering amplitude into subsets that individually vanish on the kinematic locus. This will be done by considering various geometric and topological properties of similar diagrams. In practice, the lower point diagrams will be calculated first and a characterization of what constitutes a subset in those cases will be attempted. Then, a general argument that groups diagrams of arbitrarily high multiplicity for specific kinematic loci will be considered.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Roest, D.
Degree programme:	Physics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	04 Jul 2025 09:13
Last Modified:	04 Jul 2025 09:13
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/35844

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