Imaginary parts and discontinuities of Wilson line correlators
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arXiv
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| Format: | Preprint |
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2014
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| _version_ | 1866908352366247936 |
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| author | Laenen, Eric Larsen, Kasper J. Rietkerk, Robbert |
| author_facet | Laenen, Eric Larsen, Kasper J. Rietkerk, Robbert |
| contents | We introduce a notion of position-space cuts of eikonal diagrams, the set of diagrams appearing in the perturbative expansion of the correlator of a set of straight semi-infinite Wilson lines. The cuts are applied directly to the position-space representation of any such diagram and compute its imaginary part to the leading order in the dimensional regulator. Our cutting prescription thus defines a position-space analog of the standard momentum-space Cutkosky rules. Unlike momentum-space cuts which put internal lines on shell, position-space cuts constrain a number of the gauge bosons exchanged between the energetic partons to be lightlike, leading to a vanishing and a non-vanishing imaginary part for space- and timelike kinematics, respectively. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1410_5681 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Imaginary parts and discontinuities of Wilson line correlators Laenen, Eric Larsen, Kasper J. Rietkerk, Robbert High Energy Physics - Theory High Energy Physics - Phenomenology We introduce a notion of position-space cuts of eikonal diagrams, the set of diagrams appearing in the perturbative expansion of the correlator of a set of straight semi-infinite Wilson lines. The cuts are applied directly to the position-space representation of any such diagram and compute its imaginary part to the leading order in the dimensional regulator. Our cutting prescription thus defines a position-space analog of the standard momentum-space Cutkosky rules. Unlike momentum-space cuts which put internal lines on shell, position-space cuts constrain a number of the gauge bosons exchanged between the energetic partons to be lightlike, leading to a vanishing and a non-vanishing imaginary part for space- and timelike kinematics, respectively. |
| title | Imaginary parts and discontinuities of Wilson line correlators |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/1410.5681 |