skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance

Abstract

Two topics in soft collinear effective theory (SCET) for gravitational interactions are explored. First, the collinear Wilson lines---necessary building blocks for maintaining multiple copies of diffeomorphism invariance in gravity SCET---are extended to all orders in the SCET expansion parameter λ, where it has only been known to O(λ) in the literature. Second, implications of reparametrization invariance (RPI) for the structure of gravity SCET lagrangians are studied. The utility of RPI is illustrated by an explicit example in which O(λ2) hard interactions of a collinear graviton are completely predicted by RPI from its O(λ) hard interactions. It is also pointed out that the multiple diffeomorphism invariances and RPI together require certain relations among O(λ) terms, thereby reducing the number of O(λ) terms that need to be fixed by matching onto the full theory in the first place.

Authors:
; ;
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1606075
Alternate Identifier(s):
OSTI ID: 1607439; OSTI ID: 1674940
Grant/Contract Number:  
SC0010102; PHY-1607611; PHY-1748958
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Canonical quantum gravity; Effective field theory

Citation Formats

Chakraborty, Sabyasachi, Okui, Takemichi, and Yunesi, Arash. Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.066019.
Chakraborty, Sabyasachi, Okui, Takemichi, & Yunesi, Arash. Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance. United States. doi:https://doi.org/10.1103/PhysRevD.101.066019
Chakraborty, Sabyasachi, Okui, Takemichi, and Yunesi, Arash. Tue . "Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance". United States. doi:https://doi.org/10.1103/PhysRevD.101.066019.
@article{osti_1606075,
title = {Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance},
author = {Chakraborty, Sabyasachi and Okui, Takemichi and Yunesi, Arash},
abstractNote = {Two topics in soft collinear effective theory (SCET) for gravitational interactions are explored. First, the collinear Wilson lines---necessary building blocks for maintaining multiple copies of diffeomorphism invariance in gravity SCET---are extended to all orders in the SCET expansion parameter λ, where it has only been known to O(λ) in the literature. Second, implications of reparametrization invariance (RPI) for the structure of gravity SCET lagrangians are studied. The utility of RPI is illustrated by an explicit example in which O(λ2) hard interactions of a collinear graviton are completely predicted by RPI from its O(λ) hard interactions. It is also pointed out that the multiple diffeomorphism invariances and RPI together require certain relations among O(λ) terms, thereby reducing the number of O(λ) terms that need to be fixed by matching onto the full theory in the first place.},
doi = {10.1103/PhysRevD.101.066019},
journal = {Physical Review D},
number = 6,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1103/PhysRevD.101.066019

Save / Share:

Works referenced in this record:

Hard scattering factorization from effective field theory
journal, July 2002


Invariant operators in collinear effective theory
journal, September 2001


Summing Sudakov logarithms in B X s γ in effective field theory
journal, December 2000


Infrared Photons and Gravitons
journal, October 1965


Soft-collinear gravity
journal, September 2012


Reparameterization invariance for collinear operators
journal, July 2002


Poincaré invariance constraints on NRQCD and potential NRQCD
journal, December 2003


Collinear and soft divergences in perturbative quantum gravity
journal, November 2011


Collinear effective theory at subleading order and its application to heavy-light currents
journal, June 2002


An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001


Poincaré invariance in NRQCD and potential NRQCD revisited
journal, May 2019


Soft theorems from effective field theory
journal, June 2015

  • Larkoski, Andrew J.; Neill, Duff; Stewart, Iain W.
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)077

Reparametrization invariant collinear operators
journal, March 2009


Soft collinear effective theory for gravity
journal, March 2018


Soft-collinear factorization in effective field theory
journal, February 2002