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September 10, 2025Open Access

Hidden zeros and 2-split via BCFW recursion relation

Key Points

The study shows that hidden zeros can be proven using a modified BCFW recursion relation.
Evidence suggests the importance of careful current definition for the 2-split phenomenon to hold.
Although BCFW recursion is not directly applicable for non-linear sigma model amplitudes, it provides insights into hidden zeros.
This exploration contributes to the understanding of complex mathematical behaviors in theoretical physics.

Abstract

A bstract In this paper, we provide another angle to understand recent discoveries, i.e., the hidden zeros and corresponding 2-split behavior using the BCFW recursion relation. For the hidden zeros, we show that although the BCFW recursion relation is not directly applicable for computing amplitudes of the non-linear sigma model, we can indeed prove the zeros using the modified BCFW recursion relation. Our work also indicates that for the 2-split to hold, the current should be carefully defined.

Hidden zeros and 2-split via BCFW recursion relation

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Abstract

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