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We argue that soft-collinear effective theory, as is currently formulated, lacks an ingredient which is essential for obtaining a gauge invariant definitions of certain non-perturbative matrix elements relevant for semi-inclusive high-energy processes.
- Those processes and the companion cross-sections are to be analyzed and measured at the Large Hadron Collider.
- The missing feature is a gauge link constructed only from the transverse component of the gluon field denoted by the "$T$-Wilson line"'.
- It is neither soft nor collinear.
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