Exploring Gravitational UV Divergences via the Double Copy

Abstract: Understanding the structure of ultraviolet divergences in perturbative gravity is notoriously difficult. It is well known that four-dimensional pure Einstein gravity is UV divergent at two loop orders, and with matter it diverges already at one loop. However, if we consider supersymmetric extensions, the picture becomes much less clear. The UV divergences in pure supergravities are pushed beyond at least two loop orders in four dimensions, where their calculation remains incredibly challenging. Maximal N=8 supergravity is known to be finite up to six loops, and a seven-loop calculation would be a holy-grail benchmark for unraveling its UV structure. In general, adding matter supermultiplets again brings the UV divergence down to one loop order; however, remarkably, increasing the dimension can give unexpected finite results, such as 6D (2,0) supergravity with 21 tensor multiplets. I will review several such calculations performed using the double-copy construction of gravitational scattering amplitudes and discuss the challenges of future UV studies that are within reach using the double copy.

The link to join the seminar online is https://teams.microsoft.com/meet/392467576512060?p=qR2HV7E3o86gQr8GUV

Meeting ID: 392 467 576 512 060

Passcode: w76pm7Gn