# Department of Applied Mathematics and Theoretical Physics

## Career

• 2021-present: Stephen Hawking Fellow, University of Cambridge
• 2018-2021: Research Fellow (Emmanuel College), University of Cambridge

## Research

Scott is a member of the Department of Applied Mathematics and Theoretical Physics High Energy Physics research group.

His current research interests include various aspects of quantum field theory, in particular effective field theories and their application to problems in gravity and cosmology.

## Selected Publications

• T. Grall and S. Melville, Inflation in Motion: Unitarity constraints in EFTs with spontaneously broken boosts,'' JCAP 09 (2020) 017 [arXiv:2005.02366]
• A.-C. Davis and S.Melville, Novel Screening with Two Bodies: Summing the Ladder in Disformal Scalar-Tensor Theories'', JCAP 09 (2020) 013 [arXiv:1910.08831]
• S. Melville and J. Noller, Positivity in the Sky: Constraining dark energy and modified gravity from the UV''. Phys.Rev.D 101 (2020) 2 [arXiv:1904.05874]
• C. de Rham and S. Melville, Gravitational Rainbows: LIGO and Dark Energy at its Cutoff'', 2018    [arXiv:1806.09417]
• C. de Rham, S. Melville, A. Tolley and S.-Y. Zhou, UV Complete Me: Positivity Bounds for Particles with Spin'', 2017    [arXiv:1706.02712]

See complete list of publications here (note that authors are always listed alphabetically).

## Publications

Positivity bounds without boosts: New constraints on low energy effective field theories from the UV
T Grall, S Melville
– Physical Review D
(2022)
105,
l121301
Positivity bounds from multiple vacua and their cosmological consequences
S Melville, J Noller
– Journal of Cosmology and Astroparticle Physics
(2022)
2022,
031
Natural selection rules: new positivity bounds for massive spinning particles
J Davighi, S Melville, T You
– Journal of High Energy Physics
(2022)
2022,
167
Scalar fields near compact objects: Resummation versus UV completion
AC Davis, S Melville
– Journal of Cosmology and Astroparticle Physics
(2021)
2021,
012
Spin-orbit effects for compact binaries in scalar-tensor gravity
P Brax, AC Davis, S Melville, LK Wong
– Journal of Cosmology and Astroparticle Physics
(2021)
2021,
075
Positivity bounds on dark energy: when matter matters
C De Rham, S Melville, J Noller
– Journal of Cosmology and Astroparticle Physics
(2021)
2021,
018
Cosmological Cutting Rules
S Melville, E Pajer
(2021)
Spin precession as a new window into disformal scalar fields
P Brax, AC Davis, S Melville, LK Wong
– Journal of Cosmology and Astroparticle Physics
(2021)
2021,
001
On the time evolution of cosmological correlators
S Céspedes, AC Davis, S Melville
– Journal of High Energy Physics
(2021)
2021,
12
Quantum corrections to generic branes: DBI, NLSM, and more
G Goon, S Melville, J Noller
– Journal of High Energy Physics
(2021)
2021,
159
• 1 of 3
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## Research Group

High Energy Physics

B0.33