Bootstrapping Scattering Amplitudes in Effective Field Theories by Shruti Paranjape A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Physics) in the University of Michigan 2021 Doctoral Committee: Professor Henriette Elvang, Chair Professor Ratindranath Akhoury Professor Finn Larsen Professor Jianming Qian Professor David Speyer Shruti Paranjape
[email protected] ORCID ID: 0000-0003-2613-718X © Shruti Paranjape 2021 ACKNOWLEDGEMENTS This work would not have been possible without the mentorship, support, friendship and care I have received from many wonderful people. At the top of that list is Henriette Elvang, my PhD advisor who gave me time and room to grow and learn. I am grateful to her for her unwavering support, impeccable guidance and great textbook. I am indebted to my brilliant collaborators: Henriette Elvang, Callum Jones, Marios Hadjiantonis, Laura Johnson, Finn Larsen, Aidan Herderschee and Huan-Hang Chi. Through them, I have been introduced to new ideas and new physics. They kept my interests piqued and knowledge fresh. The Leinweber Center for Theoretical Physics has provided an amazing environment. I am grateful for the many opportunities, visitors and courses that it has hosted. I am particularly grateful to the faculty and fellow graduate students for stimulating journal clubs and discussions. I am grateful to my masters thesis advisor Gautam Mandal who was my gateway into research in quantum field theory and spent time teaching me a lot of physics. I would like to take a moment to acknowledge all the incredible women physicists I have known: Henriette Elvang, Suneeta Vardarajan, Nabamita Banerjee and my mother, Sudeshna Sinha, who were inspirational to say the least.