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<span style="font-size:12pt;margin:0px;background-color:rgb(255, 255, 255)">Hello All,</span>
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<div style="margin:0px">Tomorrow at 1:00 PM (EDT), Valerio Bertone will give our next (virtual) theory seminar.</div>
<div style="margin:0px">Valerio's seminar will be held virtually on our usual ZoomGov link:<span> </span><a href="https://jlab-org.zoomgov.com/j/1611179843?pwd=M09CNTFpbFVZSW1IQlhIMGp3RUVHUT09" target="_blank" rel="noopener noreferrer" data-auth="NotApplicable" data-linkindex="0" style="margin:0px">https://jlab-org.zoomgov.com/j/1611179843?pwd=M09CNTFpbFVZSW1IQlhIMGp3RUVHUT09</a></div>
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<div style="margin:0px">Please see below for the title and abstract of Valerio's talk.</div>
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<div style="margin:0px"><u><b>Theory Seminar</b></u></div>
<div style="margin:0px">Monday, September 26th at 1:00 PM</div>
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<div style="margin:0px"><u><b>Valerio Bertone</b></u><span> </span>(Université Paris-Saclay)</div>
<div style="margin:0px">will discuss "Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one-loop accuracy"</div>
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<div style="margin:0px"><u><b>Abstract:</b></u></div>
<div style="margin:0px">In this seminar, I will present the computation of the one-loop corrections to the unpolarised off-forward matching functions.
<div style="margin:0px">These functions allow one to obtain generalised transverse-momentum-dependent (GTMD) distributions in terms of generalised parton distributions (GPDs).</div>
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<div style="margin:0px">The computation proceeds through the appropriate definition of GTMDs as a combination of GTMD correlators and soft function that guarantees the cancellation of rapidity divergences. Using the principal-value regulator, I will show the
explicit cancellation of the rapidity divergences at one-loop accuracy.</div>
<div style="margin:0px">GTMDs remain however affected by ultraviolet (UV) divergences that will be renormalised by means of suitable renormalisation constants.</div>
<div style="margin:0px">Renormalised GTMDs acquire a dependence of two additional (semi)arbitrary scales, the renormalisation scale and the so-called rapidity scale, whose dependence is governed by appropriate evolution equations. I will show how to extract
the anomalous dimensions of these evolution equations at one-loop accuracy from the knowledge of the renormalisation constants. Unsurprisingly, the results will reproduce known results obtained in the forward case (i.e. in the case of transverse-momentum-dependent
(TMD) distributions).</div>
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<div style="margin:0px">After having presented the details of the analytic calculation of the matching functions, I will move to present numerical results.</div>
<div style="margin:0px">Specifically, by convoluting these matching functions with a phenomenological model for GPDs, I will reconstruct a specific family of GTMDs in the perturbative regime.</div>
<div style="margin:0px">Transverse non-perturbative corrections can finally be incorporated using recent determinations of TMD distributions.</div>
<div style="margin:0px">Since evolution effects for GTMDs closely follow those for TMDs, they can also be easily accounted for up to next-to-next-to-leading logarithmic accuracy.</div>
This numerical analysis highlights some salient features that open the floor to further investigations.</div>
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<div style="margin:0px">See you tomorrow!</div>
Caroline, Colin & Patrick</div>
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