REVIEW 29 cited by
Dimensionally Regulated Pentagon Integrals
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2 epsilon dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O(epsilon) corrections, a result which is the dimensionally-regulated version of a D=4 result of Melrose, and of van Neerven and Vermaseren. We obtain and solve differential equations for various dimensionally-regulated box integrals with massless internal lines, which appear in one-loop n-point calculations in QCD. We give a procedure for constructing the tensor pentagon integrals needed in gauge theory, again through O(epsilon^0).
Forward citations
Cited by 29 Pith papers
-
On Cosmological Correlators at One Loop
The one-loop triangle in-in correlator of massless scalars in flat space is evaluated in closed form in terms of dilogarithms, with Landau analysis revealing its physical singularities and a partial-energy factorisati...
-
$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
-
Two-loop four-point amplitudes on the Coulomb branch of ${\mathcal{N}}=4$ super Yang-Mills
The subleading Regge-limit exponent of a Coulomb branch four-point amplitude in N=4 SYM matches the anomalous dimension of a cusped Wilson loop with a scalar insertion, known from integrability.
-
Complete function space for planar two-loop six-particle scattering amplitudes
Planar two-loop six-particle massless master integrals are solved analytically up to weight four as Chen iterated integrals, with a complete 245-letter alphabet and a validated numerical implementation.
-
Planar Six-Point Feynman Integrals for Four-Dimensional Gauge Theories
All planar two-loop six-point master integrals for four-dimensional gauge theories are computed, and nine-propagator topologies are shown to decouple in the four-dimensional limit.
-
The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders
The two-loop soft function fully differential in the total momentum of real radiation in QQV production is computed analytically in terms of Goncharov polylogarithms.
-
Black Hole Binary Dynamics from the Double Copy and Effective Theory
The authors derive the complete conservative two-body Hamiltonian for spinless black holes at third post-Minkowskian order using scattering amplitudes and effective field theory.
-
Two-loop amplitude for $t\bar{t}W$ production at hadron colliders in the leading colour approximation
The leading-colour two-loop QCD amplitude for ttbar-W production is evaluated numerically at phase-space points using differential equations and finite-field rational reconstruction.
-
Negative running of gravitational positivity
Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the ...
-
The gravitational Compton amplitude at third post-Minkowskian order
Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.
-
An analytic result for the $0 \to ggHHH$ amplitude
The authors present the complete leading-order one-loop amplitude for gg to HHH in closed analytic form, with full top and bottom quark mass dependence, validated against two independent numerical programs.
-
Positive Integrands from Feynman Integrals in the Minkowski Regime
A method for converting Minkowski-regime Feynman parameter integrals into sums of real, positive integrands with complex prefactors, eliminating contour deformation and speeding up numerical evaluation.
-
Tame multi-leg Feynman integrals beyond one loop
A 'branch' reformulation of Feynman integrals claims to reduce multi-loop integrals to one-loop-like low-dimensional integrals, but the advertised parameter bound is wrong and the numerical validation is not shown.
-
Collinear anatomy
Derives a collinear factorization formula for near-mass-shell amplitudes in N=4 SYM, including a new ultrasoft correction to the one-loop splitting amplitude.
-
First look at the evaluation of two-loop Feynman integrals for radiative return processes
Planar two-loop four-point master integrals for massive radiative-return QED, including elliptic and nested-root sectors, are reduced to polynomial-in-ε differential equations that evaluate stably in the physical region.
-
Chebyshev Approximations of Feynman Integrals for Collider Physics
Chebyshev polynomial approximations with adaptive sampling solve canonical differential equations for Feynman integrals, demonstrated to be stable and competitive for two-loop five-point cases in double precision.
-
Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries
A strategy is introduced to solve canonical differential equations for Feynman master integrals on arbitrary geometries by reducing numerical evaluation to an enlarged system of rational differential equations.
-
Disperon QED
Disperon QED is a new technique that feeds experimental data into higher-order QED loop calculations in Monte Carlo generators via dispersion relations and threshold subtraction.
-
All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders
All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...
-
Low-energy theory of jet processes and PDF factorization
A three-loop Glauber contribution to low-energy soft-collinear matrix elements exactly cancels the collinear factorization-violating terms, so DGLAP running and PDF factorization are consistent with super-leading logarithms.
-
Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling
Multi-point lattice reduction on high-precision numerical samples can recover exact analytic expressions for multi-loop Feynman integrals with rational coefficients.
-
Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
A Griffiths-Dwork based algorithm builds annihilators and D-modules for Feynman-like integrals, and in all tested cases the holonomic rank matches the twisted de Rham cohomology dimension.
-
Feynman Diagrams from Conformal Integrals
Any massless-internal Feynman integral is a limit of a conformal integral, letting conformal-family computations supply exact answers for many Feynman diagrams.
-
Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$
A dimension-changing transformation computes one-loop and fixed-branch Feynman integrals to high orders in the dimensional regulator by integrating auxiliary-mass integrals over the mass parameter, implemented in an o...
-
Classical Observables from Causal Response Functions
Asymptotic in-in observables are computed from a soft limit of five-point causal response functions, reproducing KMOC results and resolving the radiated angular momentum ambiguity in scalar QED.
-
Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
The authors compute NNLO quark transverse momentum dependent PDFs and fragmentation functions with the exponential regulator, and extract the two-loop quark jet function needed for N3LL energy-energy correlator resummation.
-
Weak-field waveforms for generic relativistic orbits
Outlines a Schwinger-Keldysh path-integral framework that derives worldline equations of motion and computes weak-field gravitational waveforms independently for unspecified relativistic orbits.
-
Special Fano geometry from Feynman integrals
Special Fano varieties, which include Calabi-Yau spaces as the Q=1 case, arise from the Symanzik polynomials of several families of Feynman integrals.
-
One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}(\epsilon^2)$
Analytic expressions for one-loop helicity amplitudes in ttj and ttγ production are derived to O(ε²) as linear combinations of pentagon functions with rational coefficients in momentum-twistor variables, obtained via ...
Discussion (0). Continue with ORCID to comment.