Publications (169)583.52 Total impact
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ABSTRACT: The scattering amplitudes of planar N = 4 superYangMills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic singularities of integrands. The amplituhedron is a geometric construction of the integrand that incorporates these structures. This geometric construction further implies the amplitude is fully specified by constraining it to vanish on spurious residues. By writing the amplitude in a dlog basis, we provide nontrivial evidence that these analytic properties and "zero conditions" carry over into the nonplanar sector. This suggests that the concept of the amplituhedron can be extended to the the nonplanar sector of N = 4 superYangMills theory.  [Show abstract] [Hide abstract]
ABSTRACT: The duality between color and kinematics enables the construction of multiloop gravity integrands directly from corresponding gaugetheory integrands. This has led to new nontrivial insights into the structure of gravity theories, including the discovery of enhanced ultraviolet cancellations. To continue to gain deeper understandings and probe these new properties, it is crucial to further improve techniques for constructing multiloop gravity integrands. In this paper, we show by example how one can alleviate difficulties encountered at the multiloop level by relaxing the colorkinematics duality conditions to hold manifestly only on unitarity cuts instead of globally on loop integrands. As an example, we use a minimal ansatz to construct an integrand for the twoloop fourpoint nonsupersymmetric pure YangMills amplitude in $D$ dimensions that is compatible with these relaxed colorkinematics duality constraints. We then immediately obtain a corresponding gravity integrand through the doublecopy procedure. Comments on ultraviolet divergences are also included.  [Show abstract] [Hide abstract]
ABSTRACT: Evanescent operators such as the GaussBonnet term have vanishing perturbative matrix elements in exactly D=4 dimensions. Similarly, evanescent fields do not propagate in D=4; a threeform field is in this class, since it is dual to a cosmologicalconstant contribution. In this Letter, we show that evanescent operators and fields modify the leading ultraviolet divergence in pure gravity. To analyze the divergence, we compute the twoloop identicalhelicity fourgraviton amplitude and determine the coefficient of the associated (nonevanescent) R^3 counterterm studied long ago by Goroff and Sagnotti. We compare two pairs of theories that are dual in D=4: gravity coupled to nothing or to threeform matter, and gravity coupled to zeroform or to twoform matter. Duff and van Nieuwenhuizen showed that, curiously, the oneloop conformal anomaly  the coefficient of the GaussBonnet operator  changes under pform duality transformations. We concur, and also find that the leading R^3 divergence changes under duality transformations. Nevertheless, in both cases the physical renormalized twoloop identicalhelicity fourgraviton amplitude can be chosen to respect duality. In particular, its renormalizationscale dependence is unaltered.  [Show abstract] [Hide abstract]
ABSTRACT: The dual formulation of planar N = 4 superYangMills scattering amplitudes makes manifest that the integrand has only logarithmic singularities and no poles at infinity. Recently, ArkaniHamed, Bourjaily, Cachazo and Trnka conjectured the same singularity properties hold to all loop orders in the nonplanar sector as well. Here we conjecture that to all loop orders these constraints give us the key analytic information contained in dual conformal symmetry. We also conjecture that to all loop orders, while N = 8 supergravity has poles at infinity, at least at four points it has only logarithmic singularities at finite locations. We provide nontrivial evidence for these conjectures. For the threeloop fourpoint N = 4 superYangMills amplitude, we explicitly construct a complete basis of diagram integrands that has only logarithmic singularities and no poles at infinity. We then express the complete amplitude in terms of the basis diagrams, with the coefficients determined by unitarity. We also give examples at three loops showing how to make the logarithmic singularity properties manifest via dlog forms. We give additional evidence at four and five loops supporting the nonplanar logarithmic singularity conjecture. Furthermore, we present a variety of examples illustrating that these constraints are more restrictive than dual conformal symmetry. Our investigations show that the singularity structures of planar and nonplanar amplitudes in N = 4 superYangMills are strikingly similar. While it is not clear how to extend either dual conformal symmetry or a dual formulation to the nonplanar sector, these results suggest that related concepts might exist and await discovery. Finally, we describe the singularity structure of N = 8 supergravity at three loops and beyond.  [Show abstract] [Hide abstract]
ABSTRACT: Electroweak vectorboson production, accompanied by multiple jets, is an important background to searches for physics beyond the Standard Model. A precise and quantitative understanding of this process is helpful in constraining deviations from known physics. We study four key ratios in $W + n$jet production at the LHC. We compute the ratio of cross sections for $W + n$ to $W + (n1)$jet production as a function of the minimum jet transverse momentum. We also study the ratio differentially, as a function of the $W$boson transverse momentum; as a function of the scalar sum of the jet transverse energy, $H_T^{\rm jets}$; and as a function of certain jet transverse momenta. We show how to use such ratios to extrapolate differential cross sections to $W+6$jet production at nexttoleading order, and we crosscheck the method against a direct calculation at leading order. We predict the differential distribution in $H_T^{\rm jets}$ for $W+6$ jets at nexttoleading order using such an extrapolation. We use the BlackHat software library together with SHERPA to perform the computations.  [Show abstract] [Hide abstract]
ABSTRACT: We determine the minimum dimension at which divergences first occur in halfmaximal 16supercharge supergravity at three loops. For the fourpoint amplitudes, we find that the critical dimension is D=14/3 and give the explicit form of the divergence. We also give the divergence of an additional piece that gives us access to theories with higher degrees of supersymmetry, in particular 20 and 32supercharge supergravities. We give the divergences of halfmaximal supergravity when matter vector multiplets are included as well. Explicit forms of various divergences at one and two loops are also given.  [Show abstract] [Hide abstract]
ABSTRACT: Here, we describe a recently conjectured duality between color and kinematics for gaugetheory amplitudes. Whenever this duality is manifest, the integrands of looplevel gravity scattering amplitudes can be obtained from corresponding gaugetheory amplitudes via a doublecopy relation. This duality has been used to enormously simplify a number of explicit multiloop supergravity calculations. The results of these computations is that supergravity theories have a surprisingly tame ultraviolet behavior, and in some cases may even be finite. As an example, we summarize a recent calculation showing that halfmaximal supergravity in four spacetime dimensions is ultraviolet finite at three loops, contrary to previous expectations.  [Show abstract] [Hide abstract]
ABSTRACT: We show that the fourloop fourpoint amplitudes of N = 5 supergravity are ultraviolet finite in four dimensions, contrary to expectations based on supersymmetry and dualitysymmetry arguments. We explain why the diagrams of any covariant local formalism cannot manifestly exhibit the necessary cancellations for finiteness but instead require a new type of nontrivial ultraviolet cancellation that we call "enhanced cancellations". We also show that the threeloop fourpoint amplitudes in N = 4 and N = 5 supergravity theories display enhanced cancellations. To construct the loop integrand, we use the duality between color and kinematics. We apply standard methods for extracting ultraviolet divergences in conjunction with the FIRE5 integral reduction program to arrive at the fourloop results.  [Show abstract] [Hide abstract]
ABSTRACT: We study $W$boson production accompanied by multiple jets at 7 TeV at the LHC. We study the jetproduction ratio, of total cross sections for $W$+$n$ to $W$+($n1$)jet production, and the ratio of distributions in the total transverse hadronic jet energy $H_{\rm T}^{\rm jets}$. We use the ratios to extrapolate the total cross section, and the differential distribution in $H_{\rm T}^{\rm jets}$, to $W$+6jet production. We use the BlackHat software library in conjunction with SHERPA to perform the computations.  [Show abstract] [Hide abstract]
ABSTRACT: In this contribution, we present an intermediate storage format for nexttoleading order (NLO) events and explain the advantages of presenting a NLO calculation in this format. We also present some recent applications, including the calculation of PDF uncertainties and the combination of different multiplicity samples for the prediction of gap fractions in inclusive dijet events. © Copyright owned by the author(s) under the terms of the Creative Commons AttributionNonCommercialShareAlike Licence.  [Show abstract] [Hide abstract]
ABSTRACT: We show that at tree level, onshell gauge invariance can be used to fully determine the first subleading softgluon behavior and the first two subleading softgraviton behaviors. Our proofs of the behaviors for ngluon and ngraviton tree amplitudes are valid in D dimensions and are similar to Low's proof of universality of the first subleading behavior of photons. In contrast to photons coupling to massive particles, in four dimensions the soft behaviors of gluons and gravitons are corrected by loop effects. We comment on how such corrections arise from this perspective. We also show that loop corrections in graviton amplitudes arising from scalar loops appear only at the second soft subleading order. This case is particularly transparent because it is not entangled with graviton infrared singularities. Our result suggests that if we set aside the issue of infrared singularities, softgraviton Ward identities of extended BMS symmetry are not anomalous through the first subleading order.  [Show abstract] [Hide abstract]
ABSTRACT: Cachazo and Strominger recently proposed a new softgraviton theorem that generalizes the leading behavior found by Weinberg. In addition, they proved its validity at tree level. This extension was motivated by a Virasoro symmetry of the gravity Smatrix related to BMS symmetry. As shown long ago by Weinberg, the leading behavior is not corrected by loops. In contrast, we show that the subleading behavior is anomalous and modified by loop effects. We argue that there are no new types of corrections to the first subleading behavior beyond one loop and to the second subleading behavior beyond two loops. To facilitate our investigation, we introduce a new momentumconservation prescription for defining the subleading terms of the soft limit. We discuss the looplevel subleading soft behavior of gaugetheory amplitudes before turning to gravity amplitudes.  [Show abstract] [Hide abstract]
ABSTRACT: We present nexttoleading order QCD predictions for cross sections and for a comprehensive set of distributions in diphoton + 2jet production at the Large Hadron Collider. We consider the contributions from loop amplitudes for two photons and four gluons, but we neglect top quarks. We use BlackHat together with SHERPA to carry out the computation. We use a Frixione cone isolation for the photons. We study standard sets of cuts on the jets and the photons, and also sets of cuts appropriate for studying backgrounds to Higgsboson production via vectorboson fusion.  [Show abstract] [Hide abstract]
ABSTRACT: We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) dualitysymmetry anomaly of the theory. This is the first known example of an ultraviolet divergence in a pure ungauged supergravity theory in four dimensions. We use the duality between color and kinematics to construct the integrand of the fourloop fourpoint amplitude, whose ultraviolet divergence is then extracted by standard integration techniques.  [Show abstract] [Hide abstract]
ABSTRACT: We present results from a recent calculation of prompt photonpair production in association with two jets to nexttoleading order (NLO) at the LHC. The virtual contribution is evaluated using the BlackHat library, a numerical implementation of onshell methods for oneloop amplitudes, in conjunction with SHERPA. We study four sets of cuts: standard jet cuts, a set of Higgsrelated cuts suggested by ATLAS, and corresponding sets which isolate the kinematic region where the process becomes the largest background to Higgs production via vectorboson fusion.  [Show abstract] [Hide abstract]
ABSTRACT: We present an eventfile format for the dissemination of nexttoleadingorder (NLO) predictions for QCD processes at hadron colliders. The files contain all information required to compute generic jetbased infraredsafe observables at fixed order (without showering or hadronization), and to recompute observables with different factorization and renormalization scales. The files also make it possible to evaluate cross sections and distributions with different parton distribution functions. This in turn makes it possible to estimate uncertainties in NLO predictions of a wide variety of observables without recomputing the shortdistance matrix elements. The event files allow a user to choose among a wide range of commonlyused jet algorithms and jetsize parameters. We provide event files for a $W$ or $Z$ boson accompanied by up to four jets, and for purejet events with up to four jets. The files are for the Large Hadron Collider with a center of mass energy of 7 or 8 TeV. A C++ library along with a Python interface for handling these files are also provided and described in this article. The library allows a user to read the event files and recompute observables transparently for different pdf sets and factorization and renormalization scales.  [Show abstract] [Hide abstract]
ABSTRACT: We present recent nexttoleading order (NLO) results in perturbative QCD obtained using the BlackHat software library. We discuss the use of ntuples to separate the lengthy matrixelement computations from the analysis process. The use of ntuples allows many analyses to be carried out on the same phasespace samples, and also allows experimenters to conduct their own analyses using the original NLO computation.  [Show abstract] [Hide abstract]
ABSTRACT: We present a study on highperformance computing and largescale distributed computing for perturbative QCD calculations.  [Show abstract] [Hide abstract]
ABSTRACT: In these proceedings we present results from a recent calculation for the production of a W boson in conjunction with five jets at nexttoleading order in perturbative QCD. We also use results at lower multiplicities to extrapolate the cross section to the same process with six jets.  [Show abstract] [Hide abstract]
ABSTRACT: We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple doublecopy relation between diagrammatic numerators of gravity scattering amplitudes and gaugetheory ones. We summarize nontrivial evidence that the duality and doublecopy property holds to all loop orders. We also comment on other developments, including a proof that the gaugetheory duality leads to the gravity doublecopy property, and the identification of gaugetheory Lagrangians whose double copies yield gravity Lagrangians.
Publication Stats
12k  Citations  
583.52  Total Impact Points  
Top Journals
Institutions

20122015

CERN
 Physics Department (PH)
Genève, Geneva, Switzerland 
University of California, Santa Barbara
 Kavli Institute for Theoretical Physics
Santa Barbara, California, United States


19932014

University of California, Los Angeles
 Department of Physics and Astronomy
Los Ángeles, California, United States


19982004

Stanford University
 Department of Physics
Palo Alto, California, United States


19911992

University of Pittsburgh
 Physics and Astronomy
Pittsburgh, Pennsylvania, United States


19891991

Los Alamos National Laboratory
 • Theoretical Division
 • Physics Division
Los Alamos, NM, United States
