We focus on the use of the functional Wilsonian renormalization group framework characterized by a proper time regulator and test its use in the search of the scaling solutions and the critical properties of an $\textit{O}$($\textit{N}$)-invariant scalar field multiplet coupled to gravity in $$d=4$$ and $$d=3$$ dimensions. We employ the same background-fluctuation splitting and gauge fixing procedure, already adopted in a previous study based, instead, on the effective average action framework and a similar truncation of the effective action. Our main goal is to compare the results for the scaling solutions and some of the associated critical exponents. In this analysis, performed in a different framework, most of the picture previously uncovered is confirmed both at qualitative and quantitative level. There are, nevertheless, few differences both at finite $\textit{N}$ and in its large value limit, depending also on the schemes which in both frameworks are called “improved”.

Italy

Alfio Bonanno

Emiliano Glaviano

Gian Vacca

Proper-time functional renormalization in $\textit{O}$($\textit{N}$) scalar models coupled to gravity

We derive the asymptotic lattice-spacing dependence $$a^2[2b_0\bar{g}^2(1/a)]^{\hat{\gamma }_i}$$ relevant for spectral quantities of lattice QCD, when using unrooted Staggered quarks. Without taking any effects from matching into account we find $$\min _i\hat{\gamma }_i\approx -0.273, -0.301, -0.913, -2.614$$ for $$N_\textrm{f}=0,4,8,12$$ respectively. Common statements in the literature on the absence of mass-dimension 5 operators from the on-shell basis of the Symanzik Effective Field Theory action are being clarified for a description using strictly local tastes, here playing the role of continuum quark flavours. Potential impact of $$\textrm{O}(a)$$ EOM-vanishing terms beyond spectral quantities is being discussed.

Spain

Nikolai Husung

Logarithmic corrections to O( $$a^2$$ ) effects in lattice QCD with unrooted staggered quarks

We study the energy-momentum tensor of the spherically symmetric nontopological solitons of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>O</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></math> nonlinear sigma model with a standard kinetic term and with a symmetry breaking potential in (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional flat spacetime. We evaluate the distributions of the corresponding energy density, shear forces, and pressure and study the stability criteria for these solutions. We argue that the presence of domains with negative energy density and violation of the energy conditions most likely do not lead to destabilization of solitons.

Belarus

Aliaksei Mikhaliuk

JINR

Yakov Shnir

Stress stability criterion of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></math> gauged nontopological solitons in the (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>3</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>O</mi><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></math> sigma model

We investigate gravitational wave signals in a nonsupersymmetric grand unified model where the group <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>10</mn><mo stretchy="false">)</mo></math> is broken in two steps to the Standard Model gauge group. We calculate the analytical form of the one-loop effective potential responsible for the first step of symmetry breaking and show that it can lead to a first-order phase transition with gravitational wave production. We also determine the gravitational wave background produced by the primordial plasma of relativistic particles. The present experimental sensitivity is still far from the expected signals but could be in reach of novel detector concepts.

South Korea

Injun Jeong

Norway

Jörn Kersten

Stefano Scopel

Liliana Velasco-Sevilla

Gravitational wave signals in a promising realization of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>O</mi><mo stretchy="false">(</mo><mn>10</mn><mo stretchy="false">)</mo></math> unification

The short-baseline near detector (SBND), the near detector in the short-baseline neutrino program at Fermi National Accelerator Laboratory, is located just 110 m from the booster neutrino beam target. Thanks to this close proximity, relative to its <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>4</mn><mtext> </mtext><mtext> </mtext><mi mathvariant="normal">m</mi><mo stretchy="false">×</mo><mn>4</mn><mtext> </mtext><mtext> </mtext><mi mathvariant="normal">m</mi></mrow></math> front face, neutrinos enter SBND over a range of angles from 0° to approximately 1.6°, enabling the detector to sample variations in the neutrino flux as a function of the angle—a technique known as precision reaction-independent spectrum measurement (PRISM), referred to here as SBND-PRISM. In this paper, we show how muon- and electron-neutrino fluxes vary as a function of the neutrino beam axis angle and how this can be exploited to expand the physics potential of SBND. We make use of a model that predicts an angle-dependent electron-neutrino excess signal to illustrate this effect, such as <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>ν</mi><mi>μ</mi></msub><mo stretchy="false">→</mo><msub><mi>ν</mi><mi>e</mi></msub></math> oscillations. We present how SBND-PRISM provides a method to add robustness against uncertainties in cross-section modeling and, more generally, uncertainties that do not depend on the spatial position of neutrino interaction inside the detector. The fluxes, along with their associated covariance matrices, are made publicly available with this publication.

United States

P. Abratenko

R. Acciarri

C. Adams

L. Aliaga-Soplin

O. Alterkait

R. Alvarez-Garrote

D. Andrade Aldana

United Kingdom

C. Andreopoulos

A. Antonakis

L. Arellano

J. Asaadi

S. Balasubramanian

A. Barnard

V. Basque

J. Bateman

A. Beever

E. Belchior

M. Betancourt

A. Bhat

M. Bishai

A. Blake

B. Bogart

D. Brailsford

A. Brandt

S. Brickner

M.B. Brunetti

L. Camilleri

D. Caratelli

D. Carber

B. Carlson

M.F. Carneiro

R. Castillo

F. Cavanna

A. Chappell

H. Chen

S. Chung

M.F. Cicala

R. Coackley

J.I. Crespo-Anadón

C. Cuesta

Y. Dabburi

O. Dalager

M. Dall’Olio

R. Darby

M. Del Tutto

Z. Djurcic

Brazil

V. do Lago Pimentel

S. Dominguez-Vidales

M. Dubnowski

K. Duffy

S. Dytman

A. Ereditato

J.J. Evans

A. Ezeribe

C. Fan

A. Filkins

B. Fleming

W. Foreman

D. Franco

G. Fricano

I. Furic

A. Furmanski

S. Gao

D. Garcia-Gamez

S. Gardiner

G. Ge

I. Gil-Botella

S. Gollapinni

P. Green

W.C. Griffith

P. Guzowski

L. Hagaman

A. Hamer

P. Hamilton

R. Harnik

A. Hergenhan

M. Hernandez-Morquecho

C. Hilgenberg

P. Holanda

B. Howard

Z. Imani

C. James

R.S. Jones

M. Jung

T. Junk

D. Kalra

G. Karagiorgi

L. Kashur

K.J. Kelly

W. Ketchum

M. King

J. Klein

L. Kotsiopoulou

S. Kr Das

T. Kroupová

V.A. Kudryavtsev

N. Lane

J. Larkin

H. Lay

R. LaZur

Sampling off-axis neutrino fluxes with the short-baseline near detector

The reduced cross section of the semiexclusive <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">(</mo><mi>l</mi><mo>,</mo><msup><mi>l</mi><mo>′</mo></msup><mi>p</mi><mo stretchy="false">)</mo></math> lepton scattering process irrespective of the type of interaction is determined mainly by the bound nucleon momentum distribution in the target and nucleon final state interaction with the residual nucleus. These cross sections can be identified with distorted nuclear spectral functions and therefore, they are similar up to Coulomb corrections for neutrino and electron scattering on nuclei. In this article, we exploit this similarity and use data with precise kinematics and large statistics for semiexclusive electron scattering on an oxygen target to test models employed in the genie neutrino event generator. We find that these models cannot reproduce well the measured reduced cross sections in all allowed kinematic regions and the genie event generator needs to describe better both the nuclear ground states and nucleon final state interaction. The approach presented in this paper provides a great opportunity to better test the accuracy of nuclear models of quasielastic neutrino-nucleus scattering, employed in neutrino event generators.

Russia

A.V. Butkevich

S.V. Luchuk

Test of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathsize="small">G</mi><mi mathsize="small">E</mi><mi mathsize="small">N</mi><mi mathsize="small">I</mi><mi mathsize="small">E</mi></mrow></math> neutrino event generator against reduced cross sections extracted from <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>16</mn></mrow></mmultiscripts></mrow><mo stretchy="false">(</mo><mi>e</mi><mo>,</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>′</mo></mrow></msup><mi>p</mi><mo stretchy="false">)</mo></mrow></math> data

In this paper, we study non-supersymmetric $\textit{AdS}$ × $\textit{S}$ vacuua of $\textit{O}$(16) × $\textit{O}$(16) heterotic theory on a string scale $\textit{T}$ background, which are parameterized by a pair of flux integers. Adding the one-loop scalar potential to the effective theory contributes positively to the cosmological constant, but we find that there is no uplift to de Sitter for any values of the fluxes. We study the fluctuations around these vacua and show that all scalar and tensor modes from the six-dimensional effective theory lie above the Breitenlohner-Freedman bound. The moduli coming from the torus compactification will also be above the bound, at least for a large range of fluxes.

Daniel Robbins

Hassaan Saleem

$\textit{O}$(16) $\textit{× O}$(16) heterotic theory on $\textit{AdS}$ 3 $\textit{× S}$ 3 $\textit{× T}$ 4

We continue to explore the previously suggested dual regime of Yang-Baxter (YB) deformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math> sigma models, which is a new one-parametric deformation of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math> model. It can be obtained from the conventional YB deformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo>+</mo><mn>2</mn><mo stretchy="false">)</mo></math> sigma model by freezing two isometries. The scattering matrix in the nondeformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></math> model is known to coincide with the rational <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mrow><mi mathvariant="fraktur">so</mi></mrow><mi>n</mi></msub></math>-invariant <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-matrix. For <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>n</mi><mo>=</mo><mn>2</mn><mi>N</mi></math> this rational solution allows for two trigonometric deformations: the usual <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mi>N</mi><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup></math> and the twisted <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mi>N</mi><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup></math>. The usual one is known to coincide with the scattering matrix of the conventional YB-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math> model. A natural question to ask is what sigma model corresponds to the twisted solution. In this work we claim that it is precisely our dual regime of YB-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></math>. We find the corresponding unitarizing function <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>F</mi><mi>N</mi></msub><mo stretchy="false">(</mo><mi>θ</mi><mo stretchy="false">)</mo></math> explicitly, and, as a bonus, extract some physical properties of this system using the thermodynamic Bethe ansatz technique.

Alexey Bychkov

Boris Nekrasov

Scattering in the dual regime of Yang-Baxter deformed <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mn>2</mn><mi>N</mi><mo stretchy="false">)</mo></mrow></math> sigma models

The existence and character of low-angular momentum quasi-bound states in 21F was probed using a (p,n) reaction. Using an active target detector, the capture excitation function for 20O + 1H was measured for the first time. Near the barrier, the capture cross section manifests an oscillatory behavior with broad peaks &#8239;&#8764;&#8239;50&#8211;100 keV wide. The presence of these peaks reflects the existence of one or more low-angular-momentum states in the quasi-bound regime. One-channel coupled channel (CC) calculations, which account only for the ground state density distributions of the colliding nuclei, show reasonable agreement with the excitation function. However, they overpredict the experimental cross section at the lowest energies measured and fail to reproduce the experimentally observed oscillations. Inclusion of the first excited 2 <math altimg='si1.svg'><msup><mrow /><mo>+</mo></msup></math> state in 20O in R-matrix (CC) calculations does produce an oscillatory behavior that roughly reproduces the observed oscillations both in magnitude and position. This result suggests that the quasi-bound state in 21F may share the vibrational character of the 2 <math altimg='si1.svg'><msup><mrow /><mo>+</mo></msup></math> state in 20O and possibly be coupled to it.

H. Desilets

Rohit Kumar

R.T. deSouza

S. Hudan

France

C. Ciampi

A. Chbihi

K.W. Brown

India

Varinderjit Singh

B. Pinheiro

J.L. Ferreira

J. Lubian

Observation of oscillations and near-barrier suppression in proton capture by 20O

We compute the potential-graviton contributions to the conservative scattering angle of two nonspinning bodies in maximal supergravity at fifth order in Newton’s constant, including second-order self-force effects. Our goal is to tackle the challenging integrals arising at this order in Einstein gravity, but within the technically simpler framework of supergravity. The calculation employs the scattering-amplitude framework, effective field theory, and multiloop integration techniques based on integration by parts and differential equations. The final result is expressed as a series expansion around the static limit, thereby avoiding the explicit evaluation of intricate special functions. This series solution for the master integrals applies, as well, to the corresponding computation in general relativity. Remarkably, we observe nontrivial cancellations among contributions associated with Calabi-Yau integrals, alongside a distinct contribution governed by a Heun differential equation.

Zvi Bern

Enrico Herrmann

Switzerland

Radu Roiban

Michael S. Ruf

Alexander V. Smirnov

Vladimir A. Smirnov

Mao Zeng

Second-Order Self-Force Potential-Region Binary Dynamics at <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="script">O</mi><mo stretchy="false">(</mo><msup><mrow><mi>G</mi></mrow><mrow><mn>5</mn></mrow></msup><mo stretchy="false">)</mo></mrow></math> in Supergravity