Soft collinear effective theory for gravity
Abstract
We present how to construct a soft collinear effective theory (SCET) for gravity at the leading and next-to-leading powers from the ground up. The soft graviton theorem and decoupling of collinear gravitons at the leading power are manifest from the outset in the effective symmetries of the theory. At the next-to-leading power, certain simple structures of amplitudes, which are completely obscure in Feynman diagrams of the full theory, are also revealed, which greatly simplifies calculations. The effective Lagrangian is highly constrained by effectively multiple copies of diffeomorphism invariance that are inevitably present in gravity SCET due to mode separation, an essential ingredient of any SCET. Further explorations of effective theories of gravity with mode separation may shed light on Lagrangian-level understandings of some of the surprising properties of gravitational scattering amplitudes. A gravity SCET with an appropriate inclusion of Glauber modes may serve as a powerful tool for studying gravitational scattering in the Regge limit.
- Authors:
- Publication Date:
- Research Org.:
- Florida State Univ., Tallahassee, FL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1425526
- Alternate Identifier(s):
- OSTI ID: 1498846
- Grant/Contract Number:
- SC0010102
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Okui, Takemichi, and Yunesi, Arash. Soft collinear effective theory for gravity. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.066011.
Okui, Takemichi, & Yunesi, Arash. Soft collinear effective theory for gravity. United States. https://doi.org/10.1103/PhysRevD.97.066011
Okui, Takemichi, and Yunesi, Arash. Mon .
"Soft collinear effective theory for gravity". United States. https://doi.org/10.1103/PhysRevD.97.066011.
@article{osti_1425526,
title = {Soft collinear effective theory for gravity},
author = {Okui, Takemichi and Yunesi, Arash},
abstractNote = {We present how to construct a soft collinear effective theory (SCET) for gravity at the leading and next-to-leading powers from the ground up. The soft graviton theorem and decoupling of collinear gravitons at the leading power are manifest from the outset in the effective symmetries of the theory. At the next-to-leading power, certain simple structures of amplitudes, which are completely obscure in Feynman diagrams of the full theory, are also revealed, which greatly simplifies calculations. The effective Lagrangian is highly constrained by effectively multiple copies of diffeomorphism invariance that are inevitably present in gravity SCET due to mode separation, an essential ingredient of any SCET. Further explorations of effective theories of gravity with mode separation may shed light on Lagrangian-level understandings of some of the surprising properties of gravitational scattering amplitudes. A gravity SCET with an appropriate inclusion of Glauber modes may serve as a powerful tool for studying gravitational scattering in the Regge limit.},
doi = {10.1103/PhysRevD.97.066011},
journal = {Physical Review. D.},
number = 6,
volume = 97,
place = {United States},
year = {Mon Mar 12 00:00:00 EDT 2018},
month = {Mon Mar 12 00:00:00 EDT 2018}
}
https://doi.org/10.1103/PhysRevD.97.066011
Web of Science
Works referenced in this record:
Graviton dominance in ultra-high-energy scattering
journal, November 1987
- Hooft, G. 't
- Physics Letters B, Vol. 198, Issue 1
High-energy scattering in gravity and supergravity
journal, November 2010
- Giddings, Steven B.; Schmidt-Sommerfeld, Maximilian; Andersen, Jeppe R.
- Physical Review D, Vol. 82, Issue 10
Reemergence of rapidity-scale uncertainty in soft-collinear effective theory
journal, October 2015
- Jaiswal, Prerit; Okui, Takemichi
- Physical Review D, Vol. 92, Issue 7
On BMS invariance of gravitational scattering
journal, July 2014
- Strominger, Andrew
- Journal of High Energy Physics, Vol. 2014, Issue 7
Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry
journal, February 2003
- Beneke, M.; Feldmann, Th.
- Physics Letters B, Vol. 553, Issue 3-4
An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 63, Issue 11
Scattering at planckian energies
journal, March 1992
- Verlinde, Herman; Verlinde, Erik
- Nuclear Physics B, Vol. 371, Issue 1-2
Analytic regularization in Soft-Collinear Effective Theory
journal, June 2012
- Becher, Thomas; Bell, Guido
- Physics Letters B, Vol. 713, Issue 1
Regge behavior in effective field theory
journal, November 2014
- Donoghue, John F.; El-Menoufi, Basem Kamal; Ovanesyan, Grigory
- Physical Review D, Vol. 90, Issue 9
Next-to-soft corrections to high energy scattering in QCD and gravity
journal, January 2017
- Luna, A.; Melville, S.; Naculich, S. G.
- Journal of High Energy Physics, Vol. 2017, Issue 1
Electroweak corrections to high energy processes using effective field theory
journal, March 2008
- Chiu, Jui-yu; Golf, Frank; Kelley, Randall
- Physical Review D, Vol. 77, Issue 5
An effective field theory for heavy quarks at low energies
journal, April 1990
- Georgi, Howard
- Physics Letters B, Vol. 240, Issue 3-4
Rapidity Renormalization Group
journal, April 2012
- Chiu, Jui-yu; Jain, Ambar; Neill, Duff
- Physical Review Letters, Vol. 108, Issue 15
Effective lagrangians for bound state problems in QED, QCD, and other field theories
journal, February 1986
- Caswell, W. E.; Lepage, G. P.
- Physics Letters B, Vol. 167, Issue 4
Electroweak Sudakov Corrections using Effective Field Theory
journal, January 2008
- Chiu, Jui-yu; Golf, Frank; Kelley, Randall
- Physical Review Letters, Vol. 100, Issue 2
An effective field theory for forward scattering and factorization violation
journal, August 2016
- Rothstein, Ira Z.; Stewart, Iain W.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Reparametrization invariance to all orders in heavy quark effective theory
journal, January 1998
- Sundrum, Raman
- Physical Review D, Vol. 57, Issue 1
Singular and regular gauges in soft–collinear effective theory: The introduction of the new Wilson line T
journal, January 2011
- Idilbi, Ahmad; Scimemi, Ignazio
- Physics Letters B, Vol. 695, Issue 5
Gravitational effects in ultrahigh-energy string scattering
journal, February 2008
- Giddings, Steven B.; Gross, David J.; Maharana, Anshuman
- Physical Review D, Vol. 77, Issue 4
Factorization properties of soft graviton amplitudes
journal, May 2011
- White, Chris D.
- Journal of High Energy Physics, Vol. 2011, Issue 5
Observables, gravitational dressing, and obstructions to locality and subsystems
journal, November 2016
- Donnelly, William; Giddings, Steven B.
- Physical Review D, Vol. 94, Issue 10
Diffeomorphism-invariant observables and their nonlocal algebra
journal, January 2016
- Donnelly, William; Giddings, Steven B.
- Physical Review D, Vol. 93, Issue 2
A relation between tree amplitudes of closed and open strings
journal, May 1986
- Kawai, H.; Lewellen, D. C.; Tye, S. -H. H.
- Nuclear Physics B, Vol. 269, Issue 1
Effective field theory of gravity for extended objects
journal, May 2006
- Goldberger, Walter D.; Rothstein, Ira Z.
- Physical Review D, Vol. 73, Issue 10
Invariant operators in collinear effective theory
journal, September 2001
- Bauer, Christian W.; Stewart, Iain W.
- Physics Letters B, Vol. 516, Issue 1-2
Summing Sudakov logarithms in in effective field theory
journal, December 2000
- Bauer, Christian W.; Fleming, Sean; Luke, Michael
- Physical Review D, Vol. 63, Issue 1
Soft-collinear gravity
journal, September 2012
- Beneke, Martin; Kirilin, Grisha
- Journal of High Energy Physics, Vol. 2012, Issue 9
Reparameterization invariance for collinear operators
journal, July 2002
- Manohar, Aneesh V.; Mehen, Thomas; Pirjol, Dan
- Physics Letters B, Vol. 539, Issue 1-2
Soft collinear effective theory, QCD, and Wilson lines
journal, January 2012
- Freedman, Simon M.; Luke, Michael
- Physical Review D, Vol. 85, Issue 1
Probing composite gravity in colliders
journal, April 2006
- Okui, Takemichi
- Physical Review D, Vol. 73, Issue 7
Fat gravitons, the cosmological constant and submillimeter tests
journal, February 2004
- Sundrum, Raman
- Physical Review D, Vol. 69, Issue 4
Four-point amplitudes in supergravity and Wilson loops
journal, January 2009
- Brandhuber, A.; Heslop, P.; Nasti, A.
- Nuclear Physics B, Vol. 807, Issue 1-2
The zero-bin and mode factorization in quantum field theory
journal, October 2007
- Manohar, Aneesh V.; Stewart, Iain W.
- Physical Review D, Vol. 76, Issue 7
BMS supertranslations and Weinberg’s soft graviton theorem
journal, May 2015
- He, Temple; Lysov, Vyacheslav; Mitra, Prahar
- Journal of High Energy Physics, Vol. 2015, Issue 5
Renormalization group scaling in nonrelativistic QCD
journal, March 2000
- Luke, Michael E.; Manohar, Aneesh V.; Rothstein, Ira Z.
- Physical Review D, Vol. 61, Issue 7
The role of Glauber exchange in soft collinear effective theory and the Balitsky–Fadin–Kuraev–Lipatov Equation
journal, July 2014
- Fleming, Sean
- Physics Letters B, Vol. 735
Soft-collinear effective theory and heavy-to-light currents beyond leading power
journal, November 2002
- Beneke, M.; Chapovsky, A. P.; Diehl, M.
- Nuclear Physics B, Vol. 643, Issue 1-3
Hard scattering factorization from effective field theory
journal, July 2002
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 66, Issue 1
Transplanckian collisions at the LHC and beyond
journal, May 2002
- Giudice, Gian F.; Rattazzi, Riccardo; Wells, James D.
- Nuclear Physics B, Vol. 630, Issue 1-2
Soft-collinear effective theory, light-cone gauge, and the -Wilson lines
journal, July 2011
- García-Echevarría, Miguel; Idilbi, Ahmad; Scimemi, Ignazio
- Physical Review D, Vol. 84, Issue 1
New relations for gauge-theory amplitudes
journal, October 2008
- Bern, Z.; Carrasco, J. J. M.; Johansson, H.
- Physical Review D, Vol. 78, Issue 8
Infrared Photons and Gravitons
journal, October 1965
- Weinberg, Steven
- Physical Review, Vol. 140, Issue 2B
Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix
journal, August 2014
- Kapec, Daniel; Lysov, Vyacheslav; Pasterski, Sabrina
- Journal of High Energy Physics, Vol. 2014, Issue 8
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory
journal, May 2012
- Chiu, Jui-Yu; Jain, Ambar; Neill, Duff
- Journal of High Energy Physics, Vol. 2012, Issue 5
Collinear and soft divergences in perturbative quantum gravity
journal, November 2011
- Akhoury, Ratindranath; Saotome, Ryo; Sterman, George
- Physical Review D, Vol. 84, Issue 10
Collinear effective theory at subleading order and its application to heavy-light currents
journal, June 2002
- Chay, Junegone; Kim, Chul
- Physical Review D, Vol. 65, Issue 11
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
Wilson line approach to gravity in the high energy limit
journal, January 2014
- Melville, S.; Naculich, S. G.; Schnitzer, H. J.
- Physical Review D, Vol. 89, Issue 2
Low-Energy Theorem for Graviton Scattering
journal, February 1968
- Gross, David J.; Jackiw, Roman
- Physical Review, Vol. 166, Issue 5
Eikonal methods applied to gravitational scattering amplitudes
journal, May 2011
- Naculich, Stephen G.; Schnitzer, Howard J.
- Journal of High Energy Physics, Vol. 2011, Issue 5
Soft-collinear factorization in effective field theory
journal, February 2002
- Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W.
- Physical Review D, Vol. 65, Issue 5
Twofold symmetries of the pure gravity action
journal, January 2017
- Cheung, Clifford; Remmen, Grant N.
- Journal of High Energy Physics, Vol. 2017, Issue 1